American Mathematics Competitions
                   2003 AMC 10 A Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1455

      Number of unofficial participants:          0

      Average score of participants:           77.0

      Average score for female students  is:   74.1  (   648 Students)
      Average score for male students is:      79.6  (   726 Students)
      Average score for unspecified gender is  76.6  (    81 Students)
      Average score for grade 10 is:           77.2  (   604 Students)
      Average score for grade 9 is:            76.0  (   520 Students)
      Average score for grade 8 and below is:  78.1  (   305 Students)
      Average score with unknown grade:        80.0  (    26 Students)

        AIME qualifying score =  119.0 or better
        Number of AIME qualifers                 24

        Number of schools returning results      65
        Average school winning score          105.75


                   American Mathematics Competitions
                   2003 AMC 12 A Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   2011

      Number of unofficial participants:          0

      Average score of participants:           78.6

      Average score for female students  is:   73.9  (   880 Students)
      Average score for male students is:      82.5  (  1040 Students)
      Average score for unspecified gender is  78.9  (    91 Students)
      Average score for grade 13 is:           81.0  (     1 Student) 
      Average score for grade 12 is:           80.1  (   831 Students)
      Average score for grade 11 is:           76.6  (  1042 Students)
      Average score for grade 10 is:           83.8  (    92 Students)
      Average score for grade 9 is:            88.6  (    12 Students)
      Average score for grade 8 and below is: 114.3  (     2 Students)
      Average score with unknown grade:        83.0  (    31 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                259

        Number of schools returning results      60
        Average school winning score          107.36
        Average school team score             291.98
 


                   American Mathematics Competitions
                   2003 AMC 10 B Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    943

      Number of unofficial participants:         84

      Average score of participants:           81.2

      Average score for female students  is:   77.7  (   391 Students)
      Average score for male students is:      84.0  (   458 Students)
      Average score for unspecified gender is  82.3  (    94 Students)
      Average score for grade 10 is:           82.6  (   431 Students)
      Average score for grade 9 is:            79.8  (   316 Students)
      Average score for grade 8 and below is:  80.8  (   142 Students)
      Average score with unknown grade:        80.2  (    54 Students)

        AIME qualifying score =  121.0 or better
        Number of AIME qualifers                  9

        Number of schools returning results      39
        Average school winning score          111.18


                   American Mathematics Competitions
                   2003 AMC 12 B Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    870

      Number of unofficial participants:         83

      Average score of participants:           74.7

      Average score for female students  is:   71.7  (   403 Students)
      Average score for male students is:      77.4  (   436 Students)
      Average score for unspecified gender is  75.6  (    31 Students)
      Average score for grade 13 is:           77.0  (     1 Student) 
      Average score for grade 12 is:           76.0  (   331 Students)
      Average score for grade 11 is:           72.8  (   416 Students)
      Average score for grade 10 is:           76.0  (    94 Students)
      Average score for grade 9 is:            84.5  (    12 Students)
      Average score for grade 8 and below is: 101.8  (     4 Students)
      Average score with unknown grade:        72.7  (    12 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 63

        Number of schools returning results      41
        Average school winning score          103.09
        Average school team score             273.20
 


         2003 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    150.0         0         1         0         0 
    149.5         0         0         0         0 
    149.0         0         0         0         0 
    148.5         0         0         0         0 
    148.0         0         0         0         0 
    147.5         0         0         0         0 
    147.0         0         0         0         0 
    146.5         0         0         0         0 
    146.0         0         0         0         0 
    145.5         0         0         0         0 
    145.0         0         0         0         0 
    144.5         0         0         0         0 
    144.0         2         0         1         0 
    143.5         0         0         0         0 
    143.0         0         0         0         0 
    142.5         0         0         0         0 
    142.0         0         0         0         0 
    141.5         0         0         0         0 
    141.0         0         0         0         0 
    140.5         0         0         1         1 
    140.0         0         0         0         0 
    139.5         0         1         1         0 
    139.0         0         0         0         0 
    138.5         0         0         0         0 
    138.0         1         0         0         0 
    137.5         0         0         0         0 
    137.0         0         0         0         0 
    136.5         0         0         0         0 
    136.0         0         0         0         0 
    135.5         0         0         0         0 
    135.0         0         0         0         0 
    134.5         0         0         3         0 
    134.0         0         0         0         0 
    133.5         2         0         0         1 
    133.0         0         0         0         0 
    132.5         2         0         1         1 
    132.0         1         0         0         0 
    131.5         0         0         0         0 
    131.0         0         0         1         0 
    130.5         0         0         0         0 
    130.0         2         1         1         0 
    129.5         0         0         0         0 
    129.0         1         0         0         1 
    128.5         0         0         0         0 
    128.0         0         0         0         0 
    127.5         2         3         0         1 
    127.0         0         0         0         0 
    126.5         1         0         1         2 
    126.0         1         1         1         0 
    125.5         0         1         1         0 
    125.0         0         1         1         0 
    124.5         0         0         0         0 
    124.0         0         1         1         0 
    123.5         0         0         0         0 
    123.0         1         2         4         0 
    122.5         1         0         0         1 
    122.0         2         0         1         0 
    121.5         0         0         1         1 
    121.0         0         0         0         0 
    120.5         2         0         2         1 
    120.0         0         0         0         0 
    119.5         6         0         0         2 
    119.0         0         0         1         0 
    118.5         4         1         0         0 
    118.0         2         0         1         1 
    117.5         0         0         0         0 
    117.0         3         0         3         1 
    116.5         0         0         1         0 
    116.0         7         1         3         2 
    115.5         2         0         1         1 
    115.0        14         0         1         1 
    114.5         3         0         7         2 
    114.0         0         0         1         0 
    113.5         6         2         4         3 
    113.0         1         0         0         0 
    112.5         6         1         0         4 
    112.0         3         0         2         0 
    111.5         8         1         0         3 
    111.0         3         2         9         5 
    110.5         0         0         0         0 
    110.0         8         0         3         4 
    109.5         0         0         0         2 
    109.0        12         4         2         0 
    108.5         1         0         5         8 
    108.0        10         3         0         1 
    107.5         6         2         4         3 
    107.0         2         0         0         0 
    106.5        18         2         9         6 
    106.0         3         0         4         4 
    105.5        17         7         2         5 
    105.0         9         0         7         3 
    104.5         4         4         2         3 
    104.0        14         3        11        11 
    103.5         1         0         1         7 
    103.0        14         4         7         9 
    102.5         4         0         4         0 
    102.0        11         6         6         2 
    101.5        11         0         7         4 
    101.0        11         3         3         1 
    100.5        13         5        11         7 
    100.0         1         0         1         5 
     99.5        18         5         9         7 
     99.0         4         0        10         5 
     98.5        17         7         3         8 
     98.0        12         1        10         5 
     97.5         0         1         1         4 
     97.0        26         2        12        12 
     96.5         4         0         3         7 
     96.0        18         3        10         9 
     95.5        10         2        13         5 
     95.0        25         5         4        15 
     94.5        23         3         8        11 
     94.0         0         1         0        10 
     93.5        31         7        16        16 
     93.0        12         3        14         8 
     92.5        33         3        13        11 
     92.0        17         8        14         7 
     91.5         4         5         5         4 
     91.0        23         2        18        16 
     90.5         1         2         4         7 
     90.0        32        14        13        16 
     89.5         8         1         6         1 
     89.0        24        18        11        11 
     88.5        21         3        16         8 
     88.0         8         5         8        13 
     87.5        33         8        18        13 
     87.0         5         0         8         8 
     86.5        27        10        16        12 
     86.0        14         4        16        10 
     85.5        14         7         9        12 
     85.0        33         4        17        15 
     84.5         9        11         5         4 
     84.0        33        13        20        21 
     83.5        13         2        12        10 
     83.0        26        11        15         9 
     82.5        16         1        21         9 
     82.0        11         8         7        13 
     81.5        36        14        30         7 
     81.0        12         5         8         8 
     80.5        25        14        20        14 
     80.0        13         4        15         5 
     79.5        19         8        21         9 
     79.0        25         6        17        14 
     78.5        13        15         4        12 
     78.0        20        23        24        14 
     77.5        12         9         9         7 
     77.0        34        22        30        16 
     76.5        12         4        16         8 
     76.0        21        22        15        11 
     75.5        27        13        17        14 
     75.0        15        12        10         6 
     74.5        32        18        29         6 
     74.0        21         8        13        13 
     73.5        12        17        18        12 
     73.0        26         9        16        10 
     72.5        17        17        24        12 
     72.0        41        11        26        12 
     71.5        11         5        15        13 
     71.0        28        12        22         9 
     70.5        19         9        15         6 
     70.0        15        10        19         4 
     69.5        16        14        16        11 
     69.0        15        14        13         9 
     68.5        24        14        11        12 
     68.0        13         7        13         7 
     67.5        22        13        14         6 
     67.0        24         8        14         3 
     66.5        10        16        16         4 
     66.0        23        18        15         7 
     65.5         8         9        11         4 
     65.0        20        18        21         6 
     64.5        22         7        11         5 
     64.0        14        15        19         6 
     63.5        13         8         9        14 
     63.0        19         4        10         4 
     62.5        11        13        15         8 
     62.0        13         5        14         8 
     61.5        12        12        12         7 
     61.0        15         6        12         6 
     60.5        22         6         7         1 
     60.0        17        10        13         6 
     59.5        22         4         9         4 
     59.0        10         2        14         1 
     58.5        10         4         8         2 
     58.0         5         6        10         4 
     57.5        13         3         8         6 
     57.0         4         7         8         3 
     56.5        11         5         7         6 
     56.0        12         2         6         8 
     55.5         6         1         7         1 
     55.0         8         2         7         3 
     54.5         9         5         7         1 
     54.0        16         6        13         5 
     53.5        12         4         4         1 
     53.0         6         5         7         3 
     52.5        12         3         8         3 
     52.0         4         1         7         3 
     51.5         4         5         5         1 
     51.0         4         4         5         3 
     50.5         9         0         9         2 
     50.0         4         3         2         1 
     49.5         6         2         5         3 
     49.0         6         3         3         5 
     48.5         8         2         4         0 
     48.0        14         5         6         1 
     47.5         1         1         4         0 
     47.0         4         4         3         2 
     46.5         7         2         6         1 
     46.0         2         1         0         3 
     45.5         3         1         3         0 
     45.0         4         1         2         1 
     44.5         3         3         3         1 
     44.0         5         1         3         1 
     43.5         1         0         3         2 
     43.0         1         0         3         1 
     42.5         4         1         0         2 
     42.0        12         5         3         0 
     41.5         0         4         0         0 
     41.0         2         2         0         1 
     40.5         4         0         1         0 
     40.0         1         0         1         1 
     39.5         1         0         1         1 
     39.0         4         0         1         0 
     38.5         1         1         1         0 
     38.0         1         0         1         0 
     37.5         1         2         1         0 
     37.0         1         2         1         0 
     36.5         1         1         2         0 
     36.0         5         2         4         0 
     35.5         1         0         2         1 
     35.0         0         0         1         1 
     34.5         1         0         0         1 
     34.0         2         0         0         1 
     33.5         1         0         0         0 
     33.0         0         1         2         0 
     32.5         0         1         0         0 
     32.0         1         0         0         0 
     31.5         0         0         0         0 
     31.0         1         0         0         0 
     30.5         3         0         0         0 
     30.0         4         0         3         1 
     29.5         0         0         0         0 
     29.0         2         0         0         2 
     28.5         0         0         0         0 
     28.0         0         1         0         1 
     27.5         0         0         0         0 
     27.0         0         0         0         0 
     26.5         1         0         0         0 
     26.0         0         0         0         0 
     25.5         0         0         0         0 
     25.0         0         0         0         0 
     24.5         0         0         0         0 
     24.0         3         1         0         0 
     23.5         0         0         1         0 
     23.0         0         0         0         0 
     22.5         0         0         0         0 
     22.0         0         0         0         0 
     21.5         0         0         0         0 
     21.0         0         0         0         0 
     20.5         0         0         0         0 
     20.0         0         0         0         0 
     19.5         0         0         0         0 
     19.0         0         0         0         0 
     18.5         0         0         0         0 
     18.0         2         1         1         0 
     17.5         0         0         0         0 
     17.0         0         0         0         0 
     16.5         0         0         0         0 
     16.0         1         0         0         0 
     15.5         0         0         0         0 
     15.0         0         0         0         0 
     14.5         0         0         0         0 
     14.0         0         0         0         0 
     13.5         0         0         0         0 
     13.0         0         0         0         0 
     12.5         0         0         0         0 
     12.0         1         0         0         0 
     11.5         0         0         0         0 
     11.0         0         0         0         0 
     10.5         0         0         0         0 
     10.0         0         0         0         0 
      9.5         0         0         0         0 
      9.0         0         0         0         0 
      8.5         0         0         0         0 
      8.0         0         0         0         0 
      7.5         0         0         0         0 
      7.0         0         0         0         0 
      6.5         0         0         0         0 
      6.0         0         0         0         0 
      5.5         0         0         0         0 
      5.0         0         0         0         0 
      4.5         0         0         0         0 
      4.0         0         0         0         0 
      3.5         0         0         0         0 
      3.0         0         0         0         0 
      2.5         0         0         0         0 
      2.0         0         0         0         0 
      1.5         0         0         0         0 
      1.0         0         0         0         0 
      0.5         0         0         0         0 
                  0         0         0         0 



                   American Mathematics Competitions
                   2003 AMC 10 A Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0      0     0         125.0      1     0         100.0      0     1 
    149.5      0     0         124.5      0     0          99.5      5     3 
    149.0      0     0         124.0      1     0          99.0      6     3 
    148.5      0     0         123.5      0     0          98.5      3     0 
    148.0      0     0         123.0      3     1          98.0      6     3 
    147.5      0     0         122.5      0     0          97.5      0     1 
    147.0      0     0         122.0      1     0          97.0     11     1 
    146.5      0     0         121.5      1     0          96.5      1     2 
    146.0      0     0         121.0      0     0          96.0      9     1 
    145.5      0     0         120.5      0     2          95.5      6     6 
    145.0      0     0         120.0      0     0          95.0      2     2 
    144.5      0     0         119.5      0     0          94.5      4     3 
    144.0      1     0         119.0      0     1          94.0      0     0 
    143.5      0     0         118.5      0     0          93.5      8     7 
    143.0      0     0         118.0      1     0          93.0     13     1 
    142.5      0     0         117.5      0     0          92.5      5     6 
    142.0      0     0         117.0      2     1          92.0      8     2 
    141.5      0     0         116.5      1     0          91.5      3     2 
    141.0      0     0         116.0      2     1          91.0     11     7 
    140.5      1     0         115.5      1     0          90.5      1     3 
    140.0      0     0         115.0      1     0          90.0      4     9 
    139.5      1     0         114.5      4     3          89.5      4     2 
    139.0      0     0         114.0      1     0          89.0      2     9 
    138.5      0     0         113.5      3     1          88.5      8     7 
    138.0      0     0         113.0      0     0          88.0      6     2 
    137.5      0     0         112.5      0     0          87.5     11     4 
    137.0      0     0         112.0      1     1          87.0      3     3 
    136.5      0     0         111.5      0     0          86.5      7     9 
    136.0      0     0         111.0      6     3          86.0      7     9 
    135.5      0     0         110.5      0     0          85.5      4     4 
    135.0      0     0         110.0      3     0          85.0     10     7 
    134.5      2     0         109.5      0     0          84.5      2     3 
    134.0      0     0         109.0      0     2          84.0      5    15 
    133.5      0     0         108.5      3     2          83.5      9     2 
    133.0      0     0         108.0      0     0          83.0      9     6 
    132.5      0     1         107.5      3     0          82.5     11    10 
    132.0      0     0         107.0      0     0          82.0      1     6 
    131.5      0     0         106.5      6     1          81.5     21     8 
    131.0      1     0         106.0      2     2          81.0      3     2 
    130.5      0     0         105.5      2     0          80.5     12     7 
    130.0      1     0         105.0      5     1          80.0      9     5 
    129.5      0     0         104.5      1     1          79.5      7    13 
    129.0      0     0         104.0      9     2          79.0     12     4 
    128.5      0     0         103.5      1     0          78.5      3     1 
    128.0      0     0         103.0      5     2          78.0     16     6 
    127.5      0     0         102.5      2     2          77.5      4     4 
    127.0      0     0         102.0      4     2          77.0     13    12 
    126.5      1     0         101.5      4     2          76.5      7     9 
    126.0      1     0         101.0      0     2          76.0      4    10 
    125.5      0     1         100.5      6     5          75.5      6    10 



                   American Mathematics Competitions
                   2003 AMC 10 A Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0      6     4          50.0      0     2          25.0      0     0 
     74.5     12    14          49.5      3     1          24.5      0     0 
     74.0      6     7          49.0      1     1          24.0      0     0 
     73.5     11     7          48.5      3     1          23.5      0     1 
     73.0      9     7          48.0      1     5          23.0      0     0 
     72.5     10    13          47.5      1     3          22.5      0     0 
     72.0     10    14          47.0      3     0          22.0      0     0 
     71.5      6     8          46.5      5     1          21.5      0     0 
     71.0     13     9          46.0      0     0          21.0      0     0 
     70.5      8     6          45.5      1     2          20.5      0     0 
     70.0      5    14          45.0      1     1          20.0      0     0 
     69.5      7     8          44.5      2     0          19.5      0     0 
     69.0      5     7          44.0      2     1          19.0      0     0 
     68.5      5     6          43.5      2     1          18.5      0     0 
     68.0      6     6          43.0      2     1          18.0      0     1 
     67.5      7     6          42.5      0     0          17.5      0     0 
     67.0      5     5          42.0      1     1          17.0      0     0 
     66.5      9     6          41.5      0     0          16.5      0     0 
     66.0     10     5          41.0      0     0          16.0      0     0 
     65.5      5     5          40.5      0     1          15.5      0     0 
     65.0     10    11          40.0      0     1          15.0      0     0 
     64.5      7     4          39.5      1     0          14.5      0     0 
     64.0      6    12          39.0      0     1          14.0      0     0 
     63.5      3     6          38.5      1     0          13.5      0     0 
     63.0      3     6          38.0      0     1          13.0      0     0 
     62.5      4    11          37.5      0     1          12.5      0     0 
     62.0      7     5          37.0      1     0          12.0      0     0 
     61.5      5     7          36.5      0     2          11.5      0     0 
     61.0      6     6          36.0      1     3          11.0      0     0 
     60.5      4     2          35.5      2     0          10.5      0     0 
     60.0      7     6          35.0      0     1          10.0      0     0 
     59.5      5     4          34.5      0     0           9.5      0     0 
     59.0      9     4          34.0      0     0           9.0      0     0 
     58.5      4     3          33.5      0     0           8.5      0     0 
     58.0      1     9          33.0      1     1           8.0      0     0 
     57.5      1     7          32.5      0     0           7.5      0     0 
     57.0      6     2          32.0      0     0           7.0      0     0 
     56.5      1     5          31.5      0     0           6.5      0     0 
     56.0      4     1          31.0      0     0           6.0      0     0 
     55.5      3     3          30.5      0     0           5.5      0     0 
     55.0      2     5          30.0      0     1           5.0      0     0 
     54.5      3     4          29.5      0     0           4.5      0     0 
     54.0      6     7          29.0      0     0           4.0      0     0 
     53.5      1     3          28.5      0     0           3.5      0     0 
     53.0      0     6          28.0      0     0           3.0      0     0 
     52.5      1     7          27.5      0     0           2.5      0     0 
     52.0      4     2          27.0      0     0           2.0      0     0 
     51.5      2     3          26.5      0     0           1.5      0     0 
     51.0      1     4          26.0      0     0           1.0      0     0 
     50.5      3     6          25.5      0     0           0.5      0     0 
                                                            0.0      0     0



                   American Mathematics Competitions
                   2003 AMC 10 A Results for North Carolina             
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             5      6      7      8      9     10   unknown
                   ---------------------------
   150.0      0      0      0      0      0      0      0
   149.5      0      0      0      0      0      0      0
   149.0      0      0      0      0      0      0      0
   148.5      0      0      0      0      0      0      0
   148.0      0      0      0      0      0      0      0
   147.5      0      0      0      0      0      0      0
   147.0      0      0      0      0      0      0      0
   146.5      0      0      0      0      0      0      0
   146.0      0      0      0      0      0      0      0
   145.5      0      0      0      0      0      0      0
   145.0      0      0      0      0      0      0      0
   144.5      0      0      0      0      0      0      0
   144.0      0      0      0      0      0      1      0
   143.5      0      0      0      0      0      0      0
   143.0      0      0      0      0      0      0      0
   142.5      0      0      0      0      0      0      0
   142.0      0      0      0      0      0      0      0
   141.5      0      0      0      0      0      0      0
   141.0      0      0      0      0      0      0      0
   140.5      0      0      0      0      1      0      0
   140.0      0      0      0      0      0      0      0
   139.5      0      0      0      0      0      1      0
   139.0      0      0      0      0      0      0      0
   138.5      0      0      0      0      0      0      0
   138.0      0      0      0      0      0      0      0
   137.5      0      0      0      0      0      0      0
   137.0      0      0      0      0      0      0      0
   136.5      0      0      0      0      0      0      0
   136.0      0      0      0      0      0      0      0
   135.5      0      0      0      0      0      0      0
   135.0      0      0      0      0      0      0      0
   134.5      0      0      0      1      0      2      0
   134.0      0      0      0      0      0      0      0
   133.5      0      0      0      0      0      0      0
   133.0      0      0      0      0      0      0      0
   132.5      0      0      0      0      0      1      0
   132.0      0      0      0      0      0      0      0
   131.5      0      0      0      0      0      0      0
   131.0      0      0      0      0      0      1      0
   130.5      0      0      0      0      0      0      0
   130.0      0      0      0      0      0      1      0
   129.5      0      0      0      0      0      0      0
   129.0      0      0      0      0      0      0      0
   128.5      0      0      0      0      0      0      0
   128.0      0      0      0      0      0      0      0
   127.5      0      0      0      0      0      0      0
   127.0      0      0      0      0      0      0      0
   126.5      0      0      0      1      0      0      0
   126.0      0      0      0      1      0      0      0
   125.5      0      0      0      0      1      0      0
   125.0      0      0      0      0      1      0      0
   124.5      0      0      0      0      0      0      0
   124.0      0      0      0      1      0      0      0
   123.5      0      0      0      0      0      0      0
   123.0      0      0      0      2      1      1      0
   122.5      0      0      0      0      0      0      0
   122.0      0      0      0      0      0      1      0
   121.5      0      0      0      0      1      0      0
   121.0      0      0      0      0      0      0      0
   120.5      0      0      0      0      1      1      0
   120.0      0      0      0      0      0      0      0
   119.5      0      0      0      0      0      0      0
   119.0      0      0      0      0      1      0      0
   118.5      0      0      0      0      0      0      0
   118.0      0      0      0      0      1      0      0
   117.5      0      0      0      0      0      0      0
   117.0      0      0      1      0      1      1      0
   116.5      0      0      0      1      0      0      0
   116.0      0      0      0      1      1      1      0
   115.5      0      0      0      0      0      1      0
   115.0      0      0      0      0      0      1      0
   114.5      0      0      1      1      1      4      0
   114.0      0      0      0      0      0      1      0
   113.5      0      0      0      1      1      2      0
   113.0      0      0      0      0      0      0      0
   112.5      0      0      0      0      0      0      0
   112.0      0      0      0      0      1      1      0
   111.5      0      0      0      0      0      0      0
   111.0      0      0      0      2      2      5      0
   110.5      0      0      0      0      0      0      0
   110.0      0      0      0      1      1      1      0
   109.5      0      0      0      0      0      0      0
   109.0      0      1      0      0      0      1      0
   108.5      0      0      1      0      0      4      0
   108.0      0      0      0      0      0      0      0
   107.5      0      0      0      1      2      0      1
   107.0      0      0      0      0      0      0      0
   106.5      0      0      0      0      6      3      0
   106.0      0      0      0      1      1      1      1
   105.5      0      0      0      1      0      1      0
   105.0      0      0      1      1      3      2      0
   104.5      0      0      1      0      0      1      0
   104.0      0      0      1      2      4      4      0
   103.5      0      0      0      0      0      1      0
   103.0      0      0      0      2      4      1      0
   102.5      0      0      0      0      3      1      0
   102.0      0      0      0      1      3      2      0
   101.5      0      0      0      0      2      5      0
   101.0      0      0      0      0      1      2      0
   100.5      0      0      0      1      6      4      0
   100.0      0      0      0      0      1      0      0
    99.5      0      0      1      3      2      2      1
    99.0      0      0      2      0      2      5      1
    98.5      0      0      0      0      3      0      0
    98.0      0      0      0      1      1      8      0
    97.5      0      0      0      0      1      0      0
    97.0      0      0      2      3      4      3      0
    96.5      0      0      0      1      1      1      0
    96.0      0      1      0      2      4      3      0
    95.5      0      1      0      4      2      6      0
    95.0      0      0      0      2      2      0      0
    94.5      0      0      0      1      3      3      1
    94.0      0      0      0      0      0      0      0
    93.5      0      0      2      3      6      4      1
    93.0      0      0      3      2      5      4      0
    92.5      0      0      1      0      4      8      0
    92.0      0      0      0      1      9      3      1
    91.5      0      0      0      2      2      1      0
    91.0      0      0      1      1      9      7      0
    90.5      0      0      0      2      1      1      0
    90.0      0      0      1      1      6      5      0
    89.5      0      0      0      1      3      2      0
    89.0      0      0      1      3      4      3      0
    88.5      0      0      0      4      7      5      0
    88.0      0      0      1      2      4      1      0
    87.5      0      0      0      2      8      6      2
    87.0      0      0      0      1      1      5      1
    86.5      0      0      0      5      4      7      0
    86.0      0      0      0      0      5     11      0
    85.5      0      0      1      2      2      3      1
    85.0      0      0      0      3      6      8      0
    84.5      0      0      0      0      3      2      0
    84.0      0      0      1      3      6     10      0
    83.5      0      0      1      1      3      7      0
    83.0      0      0      3      4      4      4      0
    82.5      0      0      1      3      7     10      0
    82.0      0      0      1      0      1      5      0
    81.5      0      0      2      6      6     16      0
    81.0      0      0      0      1      4      2      1
    80.5      0      0      1      4      3     12      0
    80.0      0      0      0      4      9      2      0
    79.5      0      0      2      3      5     11      0
    79.0      0      0      1      3      4      7      2
    78.5      0      0      0      2      2      0      0
    78.0      0      0      2      6      7      8      1
    77.5      0      0      0      0      3      6      0
    77.0      0      0      1      6     10     13      0
    76.5      0      0      1      0      8      7      0
    76.0      0      0      1      1      3      9      1
    75.5      0      0      3      0      4     10      0
    75.0      0      0      1      0      3      6      0
    74.5      0      1      0      7      8     11      2
    74.0      0      0      0      2      9      2      0
    73.5      0      0      0      2      9      7      0
    73.0      0      0      0      2      4     10      0
    72.5      0      0      0      3     11     10      0
    72.0      0      0      1      5      5     13      2
    71.5      0      0      2      1      4      8      0
    71.0      0      1      4      5      4      8      0
    70.5      0      0      0      1      6      7      1
    70.0      0      1      1      5      7      5      0
    69.5      0      1      0      1      7      7      0
    69.0      0      0      0      1      7      5      0
    68.5      0      1      0      2      4      4      0
    68.0      0      0      0      1      5      7      0
    67.5      0      0      1      1      5      7      0
    67.0      0      0      2      2      3      6      1
    66.5      0      0      0      1      6      9      0
    66.0      0      0      1      1      8      5      0
    65.5      0      0      0      0      5      6      0
    65.0      0      0      1      5      8      7      0
    64.5      0      1      1      1      3      5      0
    64.0      0      0      2      1      8      8      0
    63.5      0      0      1      2      3      3      0
    63.0      0      0      0      1      4      5      0
    62.5      0      0      1      1      8      5      0
    62.0      0      0      1      3      4      6      0
    61.5      0      0      0      2      6      4      0
    61.0      0      1      0      0      6      5      0
    60.5      0      0      0      1      3      3      0
    60.0      0      0      0      2      3      7      1
    59.5      0      0      1      2      2      4      0
    59.0      0      0      1      4      2      7      0
    58.5      0      0      1      1      1      5      0
    58.0      0      0      1      2      3      4      0
    57.5      0      0      0      0      8      0      0
    57.0      0      1      0      2      4      1      0
    56.5      0      0      1      0      2      3      1
    56.0      0      0      0      0      0      6      0
    55.5      0      0      0      1      1      4      1
    55.0      0      0      0      1      3      3      0
    54.5      0      0      1      1      3      2      0
    54.0      0      2      0      2      6      3      0
    53.5      0      0      1      0      2      1      0
    53.0      0      0      0      1      3      3      0
    52.5      0      0      0      0      3      5      0
    52.0      0      0      0      1      5      1      0
    51.5      0      0      0      0      4      1      0
    51.0      0      0      0      1      2      2      0
    50.5      0      0      0      2      4      3      0
    50.0      0      0      0      1      0      1      0
    49.5      0      0      0      0      2      3      0
    49.0      0      0      0      1      1      1      0
    48.5      0      0      0      2      1      1      0
    48.0      0      1      0      0      3      2      0
    47.5      0      0      0      0      2      2      0
    47.0      0      0      1      1      0      1      0
    46.5      0      0      0      4      1      1      0
    46.0      0      0      0      0      0      0      0
    45.5      0      0      0      0      3      0      0
    45.0      0      0      0      0      0      2      0
    44.5      0      0      0      0      0      2      1
    44.0      0      0      0      1      0      2      0
    43.5      0      0      1      0      1      1      0
    43.0      0      0      0      0      2      1      0
    42.5      0      0      0      0      0      0      0
    42.0      0      0      0      1      1      1      0
    41.5      0      0      0      0      0      0      0
    41.0      0      0      0      0      0      0      0
    40.5      0      0      0      0      0      1      0
    40.0      0      0      0      0      1      0      0
    39.5      0      0      0      1      0      0      0
    39.0      0      0      0      0      1      0      0
    38.5      0      0      0      0      1      0      0
    38.0      0      0      1      0      0      0      0
    37.5      0      0      0      0      1      0      0
    37.0      0      0      0      0      1      0      0
    36.5      0      0      0      0      0      2      0
    36.0      0      0      0      0      4      0      0
    35.5      0      0      0      0      1      1      0
    35.0      0      0      0      0      1      0      0
    34.5      0      0      0      0      0      0      0
    34.0      0      0      0      0      0      0      0
    33.5      0      0      0      0      0      0      0
    33.0      0      0      1      0      0      1      0
    32.5      0      0      0      0      0      0      0
    32.0      0      0      0      0      0      0      0
    31.5      0      0      0      0      0      0      0
    31.0      0      0      0      0      0      0      0
    30.5      0      0      0      0      0      0      0
    30.0      0      0      0      0      2      1      0
    29.5      0      0      0      0      0      0      0
    29.0      0      0      0      0      0      0      0
    28.5      0      0      0      0      0      0      0
    28.0      0      0      0      0      0      0      0
    27.5      0      0      0      0      0      0      0
    27.0      0      0      0      0      0      0      0
    26.5      0      0      0      0      0      0      0
    26.0      0      0      0      0      0      0      0
    25.5      0      0      0      0      0      0      0
    25.0      0      0      0      0      0      0      0
    24.5      0      0      0      0      0      0      0
    24.0      0      0      0      0      0      0      0
    23.5      0      0      0      0      1      0      0
    23.0      0      0      0      0      0      0      0
    22.5      0      0      0      0      0      0      0
    22.0      0      0      0      0      0      0      0
    21.5      0      0      0      0      0      0      0
    21.0      0      0      0      0      0      0      0
    20.5      0      0      0      0      0      0      0
    20.0      0      0      0      0      0      0      0
    19.5      0      0      0      0      0      0      0
    19.0      0      0      0      0      0      0      0
    18.5      0      0      0      0      0      0      0
    18.0      0      0      0      0      0      1      0
    17.5      0      0      0      0      0      0      0
    17.0      0      0      0      0      0      0      0
    16.5      0      0      0      0      0      0      0
    16.0      0      0      0      0      0      0      0
    15.5      0      0      0      0      0      0      0
    15.0      0      0      0      0      0      0      0
    14.5      0      0      0      0      0      0      0
    14.0      0      0      0      0      0      0      0
    13.5      0      0      0      0      0      0      0
    13.0      0      0      0      0      0      0      0
    12.5      0      0      0      0      0      0      0
    12.0      0      0      0      0      0      0      0
    11.5      0      0      0      0      0      0      0
    11.0      0      0      0      0      0      0      0
    10.5      0      0      0      0      0      0      0
    10.0      0      0      0      0      0      0      0
     9.5      0      0      0      0      0      0      0
     9.0      0      0      0      0      0      0      0
     8.5      0      0      0      0      0      0      0
     8.0      0      0      0      0      0      0      0
     7.5      0      0      0      0      0      0      0
     7.0      0      0      0      0      0      0      0
     6.5      0      0      0      0      0      0      0
     6.0      0      0      0      0      0      0      0
     5.5      0      0      0      0      0      0      0
     5.0      0      0      0      0      0      0      0
     4.5      0      0      0      0      0      0      0
     4.0      0      0      0      0      0      0      0
     3.5      0      0      0      0      0      0      0
     3.0      0      0      0      0      0      0      0
     2.5      0      0      0      0      0      0      0
     2.0      0      0      0      0      0      0      0
     1.5      0      0      0      0      0      0      0
     1.0      0      0      0      0      0      0      0
     0.5      0      0      0      0      0      0      0
              0      0      0      0      0      0      0



                   American Mathematics Competitions
                   2003 AMC 10 A Results for North Carolina             
                              Analysis      


                   Table of Item Difficulty for the 2003
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


    ITEM    A         B         C         D         E       OMITS       ?
    ____  _____     _____     _____     _____     _____     _____     _____

      1    0.56      1.96      0.80      4.33*     0.49      1.87      0.00
      2    0.03      8.98*     0.10      0.67      0.01      0.19      0.00
      3    0.50      2.42      0.25      4.41*     0.28      2.14      0.00
      4    4.52*     0.13      0.22      3.46      0.12      1.56      0.00
      5    0.54      5.79*     0.19      0.04      0.08      3.35      0.00
      6    1.49      1.86      2.94*     0.55      0.82      2.34      0.00
      7    1.44      2.32*     1.09      2.22      0.42      2.52      0.00
      8    1.04      0.39      0.30      0.18      7.20*     0.89      0.00
      9    2.28*     0.43      1.35      1.46      0.12      4.35      0.01
     10    0.43      0.36      0.72      1.21      4.55*     2.74      0.00
     11    0.18      0.08      0.14      0.20      7.20*     2.21      0.00
     12    2.86*     2.76      0.19      0.76      0.91      2.52      0.00
     13    6.19*     0.19      0.19      0.14      0.03      3.26      0.01
     14    1.83*     1.47      0.41      0.98      1.18      4.12      0.00
     15    0.71      1.77      4.58*     0.39      0.63      1.92      0.00
     16    0.88      0.75      3.07*     0.15      0.76      4.40      0.00
     17    0.46      0.78*     0.23      0.23      0.29      8.01      0.00
     18    0.54      0.64*     0.18      0.56      0.53      7.55      0.00
     19    0.17      0.22      0.40*     0.11      0.14      8.96      0.00
     20    0.38      0.19      0.25      0.37      0.43*     8.38      0.00
     21    0.61      0.61      0.97      2.01*     2.23      3.56      0.00
     22    0.59      2.14*     0.47      0.19      0.09      6.52      0.00
     23    0.22      0.25      0.77*     0.49      0.55      7.71      0.00
     24    0.14      0.26      0.60      0.58      4.49*     3.94      0.00
     25    0.12      0.39*     0.30      0.18      0.16      8.85      0.00


   (*)  Correct Response

   (?)  Response the computer was unable to read due to incomplete
        erasures or two answers marked in the same column




                   American Mathematics Competitions
                   2003 AMC 12 A Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0      0     0         125.0      0     0         100.0      0     1 
    149.5      0     0         124.5      0     0          99.5     14     4 
    149.0      0     0         124.0      0     0          99.0      3     1 
    148.5      0     0         123.5      0     0          98.5     14     3 
    148.0      0     0         123.0      0     1          98.0      7     4 
    147.5      0     0         122.5      0     1          97.5      0     0 
    147.0      0     0         122.0      2     0          97.0     16     9 
    146.5      0     0         121.5      0     0          96.5      3     1 
    146.0      0     0         121.0      0     0          96.0     10     6 
    145.5      0     0         120.5      2     0          95.5      6     4 
    145.0      0     0         120.0      0     0          95.0     14    11 
    144.5      0     0         119.5      6     0          94.5     12     9 
    144.0      2     0         119.0      0     0          94.0      0     0 
    143.5      0     0         118.5      3     1          93.5     17    13 
    143.0      0     0         118.0      1     0          93.0     10     2 
    142.5      0     0         117.5      0     0          92.5     20    11 
    142.0      0     0         117.0      3     0          92.0      9     7 
    141.5      0     0         116.5      0     0          91.5      3     1 
    141.0      0     0         116.0      7     0          91.0     11    11 
    140.5      0     0         115.5      0     2          90.5      1     0 
    140.0      0     0         115.0      8     3          90.0     20    12 
    139.5      0     0         114.5      3     0          89.5      7     1 
    139.0      0     0         114.0      0     0          89.0     13     8 
    138.5      0     0         113.5      6     0          88.5     13     7 
    138.0      1     0         113.0      0     0          88.0      1     7 
    137.5      0     0         112.5      5     1          87.5     17    11 
    137.0      0     0         112.0      3     0          87.0      5     0 
    136.5      0     0         111.5      7     1          86.5     17    10 
    136.0      0     0         111.0      3     0          86.0      9     5 
    135.5      0     0         110.5      0     0          85.5      4     9 
    135.0      0     0         110.0      5     3          85.0     11    20 
    134.5      0     0         109.5      0     0          84.5      4     5 
    134.0      0     0         109.0      8     4          84.0     19    13 
    133.5      2     0         108.5      1     0          83.5      4     8 
    133.0      0     0         108.0      6     2          83.0     15     8 
    132.5      2     0         107.5      5     0          82.5     10     5 
    132.0      1     0         107.0      2     0          82.0      8     3 
    131.5      0     0         106.5     12     5          81.5     19    16 
    131.0      0     0         106.0      2     0          81.0      6     6 
    130.5      0     0         105.5      8     9          80.5     12    13 
    130.0      2     0         105.0      7     1          80.0     10     3 
    129.5      0     0         104.5      4     0          79.5      8    11 
    129.0      1     0         104.0     10     4          79.0     11     9 
    128.5      0     0         103.5      1     0          78.5      4     8 
    128.0      0     0         103.0      7     7          78.0     10    10 
    127.5      2     0         102.5      1     2          77.5      8     3 
    127.0      0     0         102.0      7     4          77.0     22    11 
    126.5      1     0         101.5      7     2          76.5      5     7 
    126.0      1     0         101.0      9     2          76.0      9    11 
    125.5      0     0         100.5     11     2          75.5     13    14 



                   American Mathematics Competitions
                   2003 AMC 12 A Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0     10     5          50.0      0     4          25.0      0     0 
     74.5     12    17          49.5      3     2          24.5      0     0 
     74.0     12     8          49.0      1     4          24.0      0     2 
     73.5      5     7          48.5      2     6          23.5      0     0 
     73.0     11    13          48.0      6     8          23.0      0     0 
     72.5      7    10          47.5      1     0          22.5      0     0 
     72.0     22    16          47.0      3     1          22.0      0     0 
     71.5      3     8          46.5      2     5          21.5      0     0 
     71.0     10    18          46.0      1     1          21.0      0     0 
     70.5      6    13          45.5      1     2          20.5      0     0 
     70.0      7     8          45.0      0     4          20.0      0     0 
     69.5      8     7          44.5      2     1          19.5      0     0 
     69.0      8     7          44.0      1     4          19.0      0     0 
     68.5     14     8          43.5      0     1          18.5      0     0 
     68.0      4     9          43.0      0     1          18.0      1     1 
     67.5     11    10          42.5      3     1          17.5      0     0 
     67.0     13    11          42.0      3     8          17.0      0     0 
     66.5      6     3          41.5      0     0          16.5      0     0 
     66.0     13     9          41.0      0     2          16.0      1     0 
     65.5      2     6          40.5      3     1          15.5      0     0 
     65.0      6    14          40.0      0     1          15.0      0     0 
     64.5     10    11          39.5      0     0          14.5      0     0 
     64.0      7     7          39.0      1     3          14.0      0     0 
     63.5      5     7          38.5      0     1          13.5      0     0 
     63.0     10     6          38.0      1     0          13.0      0     0 
     62.5      7     3          37.5      0     0          12.5      0     0 
     62.0      2    11          37.0      0     1          12.0      1     0 
     61.5      4     7          36.5      1     0          11.5      0     0 
     61.0      5    10          36.0      2     3          11.0      0     0 
     60.5      8    12          35.5      0     1          10.5      0     0 
     60.0      8     9          35.0      0     0          10.0      0     0 
     59.5      9    12          34.5      0     1           9.5      0     0 
     59.0      3     7          34.0      2     0           9.0      0     0 
     58.5      0     9          33.5      0     1           8.5      0     0 
     58.0      2     3          33.0      0     0           8.0      0     0 
     57.5      8     5          32.5      0     0           7.5      0     0 
     57.0      1     3          32.0      0     1           7.0      0     0 
     56.5      2     9          31.5      0     0           6.5      0     0 
     56.0      3     8          31.0      0     1           6.0      0     0 
     55.5      2     4          30.5      2     1           5.5      0     0 
     55.0      4     4          30.0      4     0           5.0      0     0 
     54.5      4     3          29.5      0     0           4.5      0     0 
     54.0      5    10          29.0      0     1           4.0      0     0 
     53.5      7     4          28.5      0     0           3.5      0     0 
     53.0      2     4          28.0      0     0           3.0      0     0 
     52.5      4     8          27.5      0     0           2.5      0     0 
     52.0      1     3          27.0      0     0           2.0      0     0 
     51.5      2     2          26.5      0     1           1.5      0     0 
     51.0      0     4          26.0      0     0           1.0      0     0 
     50.5      6     3          25.5      0     0           0.5      0     0 
                                                            0.0      0     0



                   American Mathematics Competitions
                   2003 AMC 12 A Results for North Carolina             
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             5      6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   150.0      0      0      0      0      0      0      0      0      0      0
   149.5      0      0      0      0      0      0      0      0      0      0
   149.0      0      0      0      0      0      0      0      0      0      0
   148.5      0      0      0      0      0      0      0      0      0      0
   148.0      0      0      0      0      0      0      0      0      0      0
   147.5      0      0      0      0      0      0      0      0      0      0
   147.0      0      0      0      0      0      0      0      0      0      0
   146.5      0      0      0      0      0      0      0      0      0      0
   146.0      0      0      0      0      0      0      0      0      0      0
   145.5      0      0      0      0      0      0      0      0      0      0
   145.0      0      0      0      0      0      0      0      0      0      0
   144.5      0      0      0      0      0      0      0      0      0      0
   144.0      0      0      0      0      0      0      1      1      0      0
   143.5      0      0      0      0      0      0      0      0      0      0
   143.0      0      0      0      0      0      0      0      0      0      0
   142.5      0      0      0      0      0      0      0      0      0      0
   142.0      0      0      0      0      0      0      0      0      0      0
   141.5      0      0      0      0      0      0      0      0      0      0
   141.0      0      0      0      0      0      0      0      0      0      0
   140.5      0      0      0      0      0      0      0      0      0      0
   140.0      0      0      0      0      0      0      0      0      0      0
   139.5      0      0      0      0      0      0      0      0      0      0
   139.0      0      0      0      0      0      0      0      0      0      0
   138.5      0      0      0      0      0      0      0      0      0      0
   138.0      0      0      0      0      0      0      1      0      0      0
   137.5      0      0      0      0      0      0      0      0      0      0
   137.0      0      0      0      0      0      0      0      0      0      0
   136.5      0      0      0      0      0      0      0      0      0      0
   136.0      0      0      0      0      0      0      0      0      0      0
   135.5      0      0      0      0      0      0      0      0      0      0
   135.0      0      0      0      0      0      0      0      0      0      0
   134.5      0      0      0      0      0      0      0      0      0      0
   134.0      0      0      0      0      0      0      0      0      0      0
   133.5      0      0      0      1      0      0      0      1      0      0
   133.0      0      0      0      0      0      0      0      0      0      0
   132.5      0      0      0      0      0      0      2      0      0      0
   132.0      0      0      0      0      0      1      0      0      0      0
   131.5      0      0      0      0      0      0      0      0      0      0
   131.0      0      0      0      0      0      0      0      0      0      0
   130.5      0      0      0      0      0      0      0      0      0      0
   130.0      0      0      0      0      0      1      0      1      0      0
   129.5      0      0      0      0      0      0      0      0      0      0
   129.0      0      0      0      0      0      1      0      0      0      0
   128.5      0      0      0      0      0      0      0      0      0      0
   128.0      0      0      0      0      0      0      0      0      0      0
   127.5      0      0      0      0      0      0      0      2      0      0
   127.0      0      0      0      0      0      0      0      0      0      0
   126.5      0      0      0      0      0      0      0      1      0      0
   126.0      0      0      0      0      0      0      1      0      0      0
   125.5      0      0      0      0      0      0      0      0      0      0
   125.0      0      0      0      0      0      0      0      0      0      0
   124.5      0      0      0      0      0      0      0      0      0      0
   124.0      0      0      0      0      0      0      0      0      0      0
   123.5      0      0      0      0      0      0      0      0      0      0
   123.0      0      0      0      0      0      1      0      0      0      0
   122.5      0      0      0      0      0      0      0      1      0      0
   122.0      0      0      0      0      0      0      1      1      0      0
   121.5      0      0      0      0      0      0      0      0      0      0
   121.0      0      0      0      0      0      0      0      0      0      0
   120.5      0      0      0      0      0      0      1      1      0      0
   120.0      0      0      0      0      0      0      0      0      0      0
   119.5      0      0      0      0      0      0      2      4      0      0
   119.0      0      0      0      0      0      0      0      0      0      0
   118.5      0      0      0      0      0      0      2      2      0      0
   118.0      0      0      0      0      0      0      1      0      0      1
   117.5      0      0      0      0      0      0      0      0      0      0
   117.0      0      0      0      0      0      0      1      2      0      0
   116.5      0      0      0      0      0      0      0      0      0      0
   116.0      0      0      0      0      0      1      3      3      0      0
   115.5      0      0      0      0      0      0      1      1      0      0
   115.0      0      0      0      0      0      0      4      7      0      3
   114.5      0      0      0      0      0      0      1      2      0      0
   114.0      0      0      0      0      0      0      0      0      0      0
   113.5      0      0      0      0      0      0      3      3      0      0
   113.0      0      0      0      0      0      0      1      0      0      0
   112.5      0      0      0      0      0      1      4      1      0      0
   112.0      0      0      0      0      0      0      2      1      0      0
   111.5      0      0      0      0      0      0      3      5      0      0
   111.0      0      0      0      0      0      0      2      1      0      0
   110.5      0      0      0      0      0      0      0      0      0      0
   110.0      0      0      0      0      0      2      2      4      0      0
   109.5      0      0      0      0      0      0      0      0      0      0
   109.0      0      0      0      0      0      0      2     10      0      0
   108.5      0      0      0      0      0      0      0      1      0      0
   108.0      0      0      0      0      0      0      3      5      0      2
   107.5      0      0      0      0      0      0      2      4      0      0
   107.0      0      0      0      0      0      0      1      1      0      0
   106.5      0      0      0      0      1      1      8      8      0      0
   106.0      0      0      0      0      0      1      2      0      0      0
   105.5      0      0      0      0      0      0      8      9      0      0
   105.0      0      0      0      0      1      1      2      5      0      0
   104.5      0      0      0      0      0      0      3      1      0      0
   104.0      0      0      0      0      1      1      6      6      0      0
   103.5      0      0      0      0      0      0      1      0      0      0
   103.0      0      0      0      0      0      1      7      6      0      0
   102.5      0      0      0      0      0      1      3      0      0      0
   102.0      0      0      0      0      0      0      3      8      0      0
   101.5      0      0      0      0      0      0      5      5      0      1
   101.0      0      0      0      0      1      0      4      6      0      0
   100.5      0      0      0      0      0      1      6      6      0      0
   100.0      0      0      0      0      0      0      0      1      0      0
    99.5      0      0      0      0      0      1     12      5      0      0
    99.0      0      0      0      0      0      0      1      3      0      0
    98.5      0      0      0      0      0      1      8      8      0      0
    98.0      0      0      0      0      0      1      7      4      0      0
    97.5      0      0      0      0      0      0      0      0      0      0
    97.0      0      0      0      0      0      3     12     10      0      1
    96.5      0      0      0      0      0      0      4      0      0      0
    96.0      0      0      0      0      0      1      8      7      0      2
    95.5      0      0      0      0      0      0      4      6      0      0
    95.0      0      0      0      1      1      2     11     10      0      0
    94.5      0      0      0      0      0      2     16      5      0      0
    94.0      0      0      0      0      0      0      0      0      0      0
    93.5      0      0      0      0      1      1     15     14      0      0
    93.0      0      0      0      0      0      2      5      5      0      0
    92.5      0      0      0      0      0      4     17     12      0      0
    92.0      0      0      0      0      0      2      6      9      0      0
    91.5      0      0      0      0      0      0      1      3      0      0
    91.0      0      0      0      0      0      2     10     10      0      1
    90.5      0      0      0      0      0      0      0      1      0      0
    90.0      0      0      0      0      0      1     11     20      0      0
    89.5      0      0      0      0      0      1      3      4      0      0
    89.0      0      0      0      0      0      3     11     10      0      0
    88.5      0      0      0      0      0      0     12      9      0      0
    88.0      0      0      0      0      0      0      5      3      0      0
    87.5      0      0      0      0      0      1     14     15      0      3
    87.0      0      0      0      0      1      0      2      2      0      0
    86.5      0      0      0      0      1      1     12     13      0      0
    86.0      0      0      0      0      0      0     10      4      0      0
    85.5      0      0      0      0      0      0      7      6      0      1
    85.0      0      0      0      0      0      0     17     16      0      0
    84.5      0      0      0      0      0      0      3      5      0      1
    84.0      0      0      0      0      0      5     12     15      0      1
    83.5      0      0      0      0      1      0      5      7      0      0
    83.0      0      0      0      0      0      0     15     11      0      0
    82.5      0      0      0      0      0      1      9      6      0      0
    82.0      0      0      0      0      0      0      7      4      0      0
    81.5      0      0      0      0      0      1     18     16      0      1
    81.0      0      0      0      0      0      1      7      3      1      0
    80.5      0      0      0      0      0      0      9     16      0      0
    80.0      0      0      0      0      0      1      7      5      0      0
    79.5      0      0      0      0      0      1      9      9      0      0
    79.0      0      0      0      0      0      0     15      9      0      1
    78.5      0      0      0      0      0      1      6      5      0      1
    78.0      0      0      0      0      0      0     13      7      0      0
    77.5      0      0      0      0      0      1      6      5      0      0
    77.0      0      0      0      0      0      1     22     11      0      0
    76.5      0      0      0      0      0      0     10      2      0      0
    76.0      0      0      0      0      0      0     10     10      0      1
    75.5      0      0      0      0      0      4     15      8      0      0
    75.0      0      0      0      0      0      0     10      5      0      0
    74.5      0      0      0      0      0      1     14     16      0      1
    74.0      0      0      0      0      0      1     10     10      0      0
    73.5      0      0      0      0      0      0      8      4      0      0
    73.0      0      0      0      0      0      2     13     11      0      0
    72.5      0      0      0      0      0      0     12      5      0      0
    72.0      0      0      0      0      0      1     21     18      0      1
    71.5      0      0      0      0      0      1      5      5      0      0
    71.0      0      0      0      0      0      0     11     17      0      0
    70.5      0      0      0      0      0      0     13      6      0      0
    70.0      0      0      0      0      1      2      7      5      0      0
    69.5      0      0      0      0      0      0      8      7      0      1
    69.0      0      0      0      0      0      0      8      7      0      0
    68.5      0      0      0      0      0      0     16      8      0      0
    68.0      0      0      0      0      1      2      4      6      0      0
    67.5      0      0      0      0      0      0     15      7      0      0
    67.0      0      0      0      0      0      1     14      9      0      0
    66.5      0      0      0      0      0      1      5      4      0      0
    66.0      0      0      0      0      0      4     12      7      0      0
    65.5      0      0      0      0      0      0      6      2      0      0
    65.0      0      0      0      0      0      1     12      7      0      0
    64.5      0      0      0      0      0      1      8     13      0      0
    64.0      0      0      0      0      0      0      6      8      0      0
    63.5      0      0      0      0      0      1     11      1      0      0
    63.0      0      0      0      0      1      0     12      5      0      1
    62.5      0      0      0      0      0      0     10      0      0      1
    62.0      0      0      0      0      0      1      8      4      0      0
    61.5      0      0      0      0      0      1      9      2      0      0
    61.0      0      0      0      0      0      1      9      5      0      0
    60.5      0      0      0      0      0      1     12      9      0      0
    60.0      0      0      0      0      0      1     10      6      0      0
    59.5      0      0      0      0      0      0     11     10      0      1
    59.0      0      0      0      0      0      0      8      2      0      0
    58.5      0      0      0      0      0      0      4      6      0      0
    58.0      0      0      0      0      0      0      2      3      0      0
    57.5      0      0      0      0      0      0      6      6      0      1
    57.0      0      0      0      0      0      0      2      2      0      0
    56.5      0      0      0      0      0      1      5      4      0      1
    56.0      0      0      0      0      0      0      6      6      0      0
    55.5      0      0      0      0      0      0      2      4      0      0
    55.0      0      0      0      0      0      0      4      4      0      0
    54.5      0      0      0      0      0      1      7      1      0      0
    54.0      0      0      0      0      0      0      8      8      0      0
    53.5      0      0      0      0      0      1     10      1      0      0
    53.0      0      0      0      0      0      1      5      0      0      0
    52.5      0      0      0      0      0      0      6      6      0      0
    52.0      0      0      0      0      0      0      4      0      0      0
    51.5      0      0      0      0      0      0      1      3      0      0
    51.0      0      0      0      0      0      0      3      1      0      0
    50.5      0      0      0      0      0      1      6      2      0      0
    50.0      0      0      0      0      0      0      3      1      0      0
    49.5      0      0      0      0      0      0      6      0      0      0
    49.0      0      0      0      0      0      0      4      2      0      0
    48.5      0      0      0      0      0      0      6      2      0      0
    48.0      0      0      0      0      0      1      5      8      0      0
    47.5      0      0      0      0      0      0      1      0      0      0
    47.0      0      0      0      0      0      0      3      1      0      0
    46.5      0      0      0      0      0      0      5      2      0      0
    46.0      0      0      0      0      0      0      2      0      0      0
    45.5      0      0      0      0      0      0      1      2      0      0
    45.0      0      0      0      0      0      0      2      2      0      0
    44.5      0      0      0      0      0      0      3      0      0      0
    44.0      0      0      0      0      0      0      5      0      0      0
    43.5      0      0      0      0      0      0      0      1      0      0
    43.0      0      0      0      0      0      0      0      1      0      0
    42.5      0      0      0      0      0      0      3      1      0      0
    42.0      0      0      0      0      0      0      7      4      0      1
    41.5      0      0      0      0      0      0      0      0      0      0
    41.0      0      0      0      0      0      0      0      2      0      0
    40.5      0      0      0      0      0      0      4      0      0      0
    40.0      0      0      0      0      0      0      0      1      0      0
    39.5      0      0      0      0      0      0      1      0      0      0
    39.0      0      0      0      0      0      0      1      3      0      0
    38.5      0      0      0      0      0      0      1      0      0      0
    38.0      0      0      0      0      0      0      0      1      0      0
    37.5      0      0      0      0      0      0      1      0      0      0
    37.0      0      0      0      0      0      0      1      0      0      0
    36.5      0      0      0      0      0      0      1      0      0      0
    36.0      0      0      0      0      0      0      3      2      0      0
    35.5      0      0      0      0      0      0      0      1      0      0
    35.0      0      0      0      0      0      0      0      0      0      0
    34.5      0      0      0      0      0      0      0      1      0      0
    34.0      0      0      0      0      0      1      1      0      0      0
    33.5      0      0      0      0      0      0      1      0      0      0
    33.0      0      0      0      0      0      0      0      0      0      0
    32.5      0      0      0      0      0      0      0      0      0      0
    32.0      0      0      0      0      0      0      1      0      0      0
    31.5      0      0      0      0      0      0      0      0      0      0
    31.0      0      0      0      0      0      0      1      0      0      0
    30.5      0      0      0      0      0      0      1      2      0      0
    30.0      0      0      0      0      0      0      2      2      0      0
    29.5      0      0      0      0      0      0      0      0      0      0
    29.0      0      0      0      0      0      0      1      1      0      0
    28.5      0      0      0      0      0      0      0      0      0      0
    28.0      0      0      0      0      0      0      0      0      0      0
    27.5      0      0      0      0      0      0      0      0      0      0
    27.0      0      0      0      0      0      0      0      0      0      0
    26.5      0      0      0      0      0      0      0      1      0      0
    26.0      0      0      0      0      0      0      0      0      0      0
    25.5      0      0      0      0      0      0      0      0      0      0
    25.0      0      0      0      0      0      0      0      0      0      0
    24.5      0      0      0      0      0      0      0      0      0      0
    24.0      0      0      0      0      0      0      1      1      0      1
    23.5      0      0      0      0      0      0      0      0      0      0
    23.0      0      0      0      0      0      0      0      0      0      0
    22.5      0      0      0      0      0      0      0      0      0      0
    22.0      0      0      0      0      0      0      0      0      0      0
    21.5      0      0      0      0      0      0      0      0      0      0
    21.0      0      0      0      0      0      0      0      0      0      0
    20.5      0      0      0      0      0      0      0      0      0      0
    20.0      0      0      0      0      0      0      0      0      0      0
    19.5      0      0      0      0      0      0      0      0      0      0
    19.0      0      0      0      0      0      0      0      0      0      0
    18.5      0      0      0      0      0      0      0      0      0      0
    18.0      0      0      0      0      0      0      1      1      0      0
    17.5      0      0      0      0      0      0      0      0      0      0
    17.0      0      0      0      0      0      0      0      0      0      0
    16.5      0      0      0      0      0      0      0      0      0      0
    16.0      0      0      0      0      0      0      0      1      0      0
    15.5      0      0      0      0      0      0      0      0      0      0
    15.0      0      0      0      0      0      0      0      0      0      0
    14.5      0      0      0      0      0      0      0      0      0      0
    14.0      0      0      0      0      0      0      0      0      0      0
    13.5      0      0      0      0      0      0      0      0      0      0
    13.0      0      0      0      0      0      0      0      0      0      0
    12.5      0      0      0      0      0      0      0      0      0      0
    12.0      0      0      0      0      0      0      0      1      0      0
    11.5      0      0      0      0      0      0      0      0      0      0
    11.0      0      0      0      0      0      0      0      0      0      0
    10.5      0      0      0      0      0      0      0      0      0      0
    10.0      0      0      0      0      0      0      0      0      0      0
     9.5      0      0      0      0      0      0      0      0      0      0
     9.0      0      0      0      0      0      0      0      0      0      0
     8.5      0      0      0      0      0      0      0      0      0      0
     8.0      0      0      0      0      0      0      0      0      0      0
     7.5      0      0      0      0      0      0      0      0      0      0
     7.0      0      0      0      0      0      0      0      0      0      0
     6.5      0      0      0      0      0      0      0      0      0      0
     6.0      0      0      0      0      0      0      0      0      0      0
     5.5      0      0      0      0      0      0      0      0      0      0
     5.0      0      0      0      0      0      0      0      0      0      0
     4.5      0      0      0      0      0      0      0      0      0      0
     4.0      0      0      0      0      0      0      0      0      0      0
     3.5      0      0      0      0      0      0      0      0      0      0
     3.0      0      0      0      0      0      0      0      0      0      0
     2.5      0      0      0      0      0      0      0      0      0      0
     2.0      0      0      0      0      0      0      0      0      0      0
     1.5      0      0      0      0      0      0      0      0      0      0
     1.0      0      0      0      0      0      0      0      0      0      0
     0.5      0      0      0      0      0      0      0      0      0      0
              0      0      0      0      0      0      0      0      0      0



                   American Mathematics Competitions
                   2003 AMC 12 A Results for North Carolina             
                              Analysis      


                   Table of Item Difficulty for the 2003
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


    ITEM    A         B         C         D         E       OMITS       ?
    ____  _____     _____     _____     _____     _____     _____     _____

      1    0.44      1.46      0.63      5.73*     0.40      1.34      0.00
      2    0.01      9.09*     0.09      0.61      0.01      0.18      0.00
      3    0.33      2.47      0.27      5.54*     0.22      1.16      0.00
      4    5.82*     0.12      0.19      2.90      0.06      0.91      0.00
      5    0.20      0.07      0.08      0.16      8.28*     1.20      0.00
      6    1.19      2.23      4.21*     0.40      0.46      1.51      0.00
      7    1.73      2.40*     0.87      2.11      0.28      2.61      0.00
      8    0.70      0.34      0.22      0.23      7.79*     0.72      0.00
      9    0.33      0.68      1.65      4.01*     0.21      3.12      0.00
     10    0.52      0.77      0.43      3.98*     0.17      4.13      0.00
     11    0.76      0.67      1.61*     0.45      0.85      5.67      0.00
     12    0.07      0.23      0.51      0.46      6.62*     2.11      0.00
     13    0.39      0.36      0.75      1.23      5.11*     2.16      0.00
     14    0.70      0.44      0.42      4.97*     1.05      2.42      0.00
     15    0.39      0.29      0.92*     0.17      0.32      7.90      0.00
     16    0.61      0.53      4.12*     0.41      0.92      3.41      0.00
     17    0.65      1.07*     0.40      0.75      0.28      6.85      0.00
     18    0.21      0.50*     0.24      0.16      0.23      8.66      0.00
     19    0.70      0.64      1.31      1.44*     0.57      5.34      0.00
     20    0.51*     0.28      0.61      1.37      0.10      7.13      0.00
     21    0.92      0.40      0.25      0.81*     1.33      6.29      0.00
     22    0.66      0.62      0.44*     0.66      0.17      7.45      0.00
     23    0.26      0.42*     0.21      0.17      0.23      8.70      0.00
     24    0.17      1.87*     0.87      0.17      0.20      6.71      0.00
     25    0.77      0.36      0.20*     0.08      1.83      6.76      0.00


   (*)  Correct Response

   (?)  Response the computer was unable to read due to incomplete
        erasures or two answers marked in the same column




                   American Mathematics Competitions
                   2003 AMC 10 B Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0      0     0         125.0      0     0         100.0      3     1 
    149.5      0     0         124.5      0     0          99.5      3     3 
    149.0      0     0         124.0      0     0          99.0      5     0 
    148.5      0     0         123.5      0     0          98.5      3     4 
    148.0      0     0         123.0      0     0          98.0      3     2 
    147.5      0     0         122.5      1     0          97.5      3     1 
    147.0      0     0         122.0      0     0          97.0      3     8 
    146.5      0     0         121.5      1     0          96.5      2     2 
    146.0      0     0         121.0      0     0          96.0      5     2 
    145.5      0     0         120.5      0     0          95.5      5     0 
    145.0      0     0         120.0      0     0          95.0      6     4 
    144.5      0     0         119.5      1     0          94.5      4     7 
    144.0      0     0         119.0      0     0          94.0      7     3 
    143.5      0     0         118.5      0     0          93.5      7     6 
    143.0      0     0         118.0      1     0          93.0      5     2 
    142.5      0     0         117.5      0     0          92.5      4     6 
    142.0      0     0         117.0      1     0          92.0      5     2 
    141.5      0     0         116.5      0     0          91.5      1     3 
    141.0      0     0         116.0      2     0          91.0     10     6 
    140.5      0     1         115.5      1     0          90.5      2     5 
    140.0      0     0         115.0      1     0          90.0      8     5 
    139.5      0     0         114.5      2     0          89.5      1     0 
    139.0      0     0         114.0      0     0          89.0      7     1 
    138.5      0     0         113.5      3     0          88.5      3     5 
    138.0      0     0         113.0      0     0          88.0      7     6 
    137.5      0     0         112.5      3     0          87.5      8     4 
    137.0      0     0         112.0      0     0          87.0      6     2 
    136.5      0     0         111.5      2     0          86.5      7     5 
    136.0      0     0         111.0      2     2          86.0      5     2 
    135.5      0     0         110.5      0     0          85.5      5     5 
    135.0      0     0         110.0      2     2          85.0      9     5 
    134.5      0     0         109.5      2     0          84.5      2     1 
    134.0      0     0         109.0      0     0          84.0      8    10 
    133.5      1     0         108.5      7     1          83.5      6     2 
    133.0      0     0         108.0      0     1          83.0      4     5 
    132.5      1     0         107.5      3     0          82.5      7     2 
    132.0      0     0         107.0      0     0          82.0      7     5 
    131.5      0     0         106.5      2     3          81.5      2     4 
    131.0      0     0         106.0      3     1          81.0      2     3 
    130.5      0     0         105.5      4     1          80.5      4    10 
    130.0      0     0         105.0      2     1          80.0      4     1 
    129.5      0     0         104.5      1     2          79.5      4     5 
    129.0      0     1         104.0      4     7          79.0      8     5 
    128.5      0     0         103.5      6     0          78.5      6     6 
    128.0      0     0         103.0      6     3          78.0      6     5 
    127.5      1     0         102.5      0     0          77.5      3     4 
    127.0      0     0         102.0      2     0          77.0      7     7 
    126.5      2     0         101.5      1     1          76.5      6     2 
    126.0      0     0         101.0      1     0          76.0      4     4 
    125.5      0     0         100.5      4     2          75.5      4     8 



                   American Mathematics Competitions
                   2003 AMC 10 B Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0      3     2          50.0      0     0          25.0      0     0 
     74.5      3     3          49.5      1     2          24.5      0     0 
     74.0      6     7          49.0      2     3          24.0      0     0 
     73.5      5     6          48.5      0     0          23.5      0     0 
     73.0      5     4          48.0      1     0          23.0      0     0 
     72.5      5     6          47.5      0     0          22.5      0     0 
     72.0      4     6          47.0      1     1          22.0      0     0 
     71.5      4     7          46.5      1     0          21.5      0     0 
     71.0      4     4          46.0      2     1          21.0      0     0 
     70.5      2     3          45.5      0     0          20.5      0     0 
     70.0      0     3          45.0      0     1          20.0      0     0 
     69.5      6     5          44.5      1     0          19.5      0     0 
     69.0      4     4          44.0      0     1          19.0      0     0 
     68.5      8     3          43.5      0     1          18.5      0     0 
     68.0      4     3          43.0      0     1          18.0      0     0 
     67.5      2     4          42.5      1     1          17.5      0     0 
     67.0      0     3          42.0      0     0          17.0      0     0 
     66.5      1     3          41.5      0     0          16.5      0     0 
     66.0      2     4          41.0      1     0          16.0      0     0 
     65.5      4     0          40.5      0     0          15.5      0     0 
     65.0      1     5          40.0      0     1          15.0      0     0 
     64.5      2     1          39.5      0     1          14.5      0     0 
     64.0      5     0          39.0      0     0          14.0      0     0 
     63.5      4    10          38.5      0     0          13.5      0     0 
     63.0      2     2          38.0      0     0          13.0      0     0 
     62.5      1     2          37.5      0     0          12.5      0     0 
     62.0      4     4          37.0      0     0          12.0      0     0 
     61.5      6     1          36.5      0     0          11.5      0     0 
     61.0      1     5          36.0      0     0          11.0      0     0 
     60.5      0     0          35.5      0     1          10.5      0     0 
     60.0      2     3          35.0      1     0          10.0      0     0 
     59.5      4     0          34.5      1     0           9.5      0     0 
     59.0      1     0          34.0      0     1           9.0      0     0 
     58.5      0     2          33.5      0     0           8.5      0     0 
     58.0      2     2          33.0      0     0           8.0      0     0 
     57.5      3     2          32.5      0     0           7.5      0     0 
     57.0      1     1          32.0      0     0           7.0      0     0 
     56.5      3     3          31.5      0     0           6.5      0     0 
     56.0      2     5          31.0      0     0           6.0      0     0 
     55.5      1     0          30.5      0     0           5.5      0     0 
     55.0      2     1          30.0      0     1           5.0      0     0 
     54.5      0     1          29.5      0     0           4.5      0     0 
     54.0      1     3          29.0      0     2           4.0      0     0 
     53.5      0     1          28.5      0     0           3.5      0     0 
     53.0      0     3          28.0      0     1           3.0      0     0 
     52.5      1     2          27.5      0     0           2.5      0     0 
     52.0      0     3          27.0      0     0           2.0      0     0 
     51.5      1     0          26.5      0     0           1.5      0     0 
     51.0      1     2          26.0      0     0           1.0      0     0 
     50.5      0     2          25.5      0     0           0.5      0     0 
                                                            0.0      0     0



                   American Mathematics Competitions
                   2003 AMC 10 B Results for North Carolina             
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             5      6      7      8      9     10   unknown
                   ---------------------------
   150.0      0      0      0      0      0      0      0
   149.5      0      0      0      0      0      0      0
   149.0      0      0      0      0      0      0      0
   148.5      0      0      0      0      0      0      0
   148.0      0      0      0      0      0      0      0
   147.5      0      0      0      0      0      0      0
   147.0      0      0      0      0      0      0      0
   146.5      0      0      0      0      0      0      0
   146.0      0      0      0      0      0      0      0
   145.5      0      0      0      0      0      0      0
   145.0      0      0      0      0      0      0      0
   144.5      0      0      0      0      0      0      0
   144.0      0      0      0      0      0      0      0
   143.5      0      0      0      0      0      0      0
   143.0      0      0      0      0      0      0      0
   142.5      0      0      0      0      0      0      0
   142.0      0      0      0      0      0      0      0
   141.5      0      0      0      0      0      0      0
   141.0      0      0      0      0      0      0      0
   140.5      0      0      0      0      1      0      0
   140.0      0      0      0      0      0      0      0
   139.5      0      0      0      0      0      0      0
   139.0      0      0      0      0      0      0      0
   138.5      0      0      0      0      0      0      0
   138.0      0      0      0      0      0      0      0
   137.5      0      0      0      0      0      0      0
   137.0      0      0      0      0      0      0      0
   136.5      0      0      0      0      0      0      0
   136.0      0      0      0      0      0      0      0
   135.5      0      0      0      0      0      0      0
   135.0      0      0      0      0      0      0      0
   134.5      0      0      0      0      0      0      0
   134.0      0      0      0      0      0      0      0
   133.5      0      0      0      0      0      1      0
   133.0      0      0      0      0      0      0      0
   132.5      0      0      0      0      1      0      0
   132.0      0      0      0      0      0      0      0
   131.5      0      0      0      0      0      0      0
   131.0      0      0      0      0      0      0      0
   130.5      0      0      0      0      0      0      0
   130.0      0      0      0      0      0      0      0
   129.5      0      0      0      0      0      0      0
   129.0      0      0      0      0      0      1      0
   128.5      0      0      0      0      0      0      0
   128.0      0      0      0      0      0      0      0
   127.5      0      0      0      0      1      0      0
   127.0      0      0      0      0      0      0      0
   126.5      0      0      0      0      0      2      0
   126.0      0      0      0      0      0      0      0
   125.5      0      0      0      0      0      0      0
   125.0      0      0      0      0      0      0      0
   124.5      0      0      0      0      0      0      0
   124.0      0      0      0      0      0      0      0
   123.5      0      0      0      0      0      0      0
   123.0      0      0      0      0      0      0      0
   122.5      0      0      0      1      0      0      0
   122.0      0      0      0      0      0      0      0
   121.5      0      0      0      1      0      0      0
   121.0      0      0      0      0      0      0      0
   120.5      0      0      0      0      0      1      0
   120.0      0      0      0      0      0      0      0
   119.5      0      0      0      0      0      2      0
   119.0      0      0      0      0      0      0      0
   118.5      0      0      0      0      0      0      0
   118.0      0      0      1      0      0      0      0
   117.5      0      0      0      0      0      0      0
   117.0      0      0      0      0      1      0      0
   116.5      0      0      0      0      0      0      0
   116.0      0      0      0      0      0      2      0
   115.5      0      0      0      0      0      1      0
   115.0      0      0      0      0      0      1      0
   114.5      0      0      0      0      1      1      0
   114.0      0      0      0      0      0      0      0
   113.5      0      0      0      0      0      3      0
   113.0      0      0      0      0      0      0      0
   112.5      0      0      0      0      1      2      1
   112.0      0      0      0      0      0      0      0
   111.5      0      0      0      0      2      1      0
   111.0      0      0      0      0      4      0      1
   110.5      0      0      0      0      0      0      0
   110.0      0      0      1      0      2      1      0
   109.5      0      0      0      0      1      1      0
   109.0      0      0      0      0      0      0      0
   108.5      0      0      0      1      4      3      0
   108.0      0      0      0      0      0      1      0
   107.5      0      0      0      0      0      3      0
   107.0      0      0      0      0      0      0      0
   106.5      0      1      0      0      0      4      1
   106.0      0      0      0      0      1      3      0
   105.5      0      0      0      0      2      3      0
   105.0      0      0      0      0      2      1      0
   104.5      0      0      0      1      2      0      0
   104.0      0      0      0      0      6      5      0
   103.5      0      0      0      2      2      3      0
   103.0      0      2      0      0      3      4      0
   102.5      0      0      0      0      0      0      0
   102.0      0      0      0      1      0      1      0
   101.5      0      0      0      0      2      1      1
   101.0      0      0      0      0      0      1      0
   100.5      0      0      0      1      2      4      0
   100.0      0      0      0      0      1      4      0
    99.5      0      0      0      1      2      3      1
    99.0      0      0      0      0      0      5      0
    98.5      0      0      0      0      6      2      0
    98.0      0      0      0      0      1      4      0
    97.5      0      0      0      0      1      3      0
    97.0      0      0      1      0      0      9      2
    96.5      0      0      0      1      2      2      2
    96.0      0      1      0      3      1      4      0
    95.5      0      0      0      1      2      2      0
    95.0      0      0      0      2      3      7      3
    94.5      0      0      1      0      4      6      0
    94.0      0      0      1      2      1      6      0
    93.5      0      0      1      2      4      8      1
    93.0      0      0      1      0      2      5      0
    92.5      0      0      0      1      5      5      0
    92.0      0      0      0      2      2      3      0
    91.5      0      0      0      0      0      4      0
    91.0      0      0      0      2      6      8      0
    90.5      0      0      1      1      1      4      0
    90.0      0      0      1      2      8      4      1
    89.5      0      0      0      0      1      0      0
    89.0      0      0      0      1      5      4      1
    88.5      0      0      0      2      1      4      1
    88.0      0      0      2      2      4      5      0
    87.5      0      0      2      0      3      7      1
    87.0      0      0      1      3      1      3      0
    86.5      0      0      1      2      3      6      0
    86.0      0      0      0      0      4      6      0
    85.5      0      0      0      1      5      5      1
    85.0      0      0      2      1      4      8      0
    84.5      0      0      0      1      3      0      0
    84.0      0      0      1      0      6     11      3
    83.5      0      0      1      0      4      3      2
    83.0      0      0      0      4      0      5      0
    82.5      0      0      0      2      2      5      0
    82.0      0      0      1      0      5      7      0
    81.5      0      0      1      2      0      3      1
    81.0      0      0      1      3      1      1      2
    80.5      0      0      0      2      7      5      0
    80.0      0      0      0      1      1      3      0
    79.5      0      0      0      0      3      5      1
    79.0      0      0      1      1      6      5      1
    78.5      0      0      0      2      4      6      0
    78.0      0      0      0      3      2      6      3
    77.5      0      1      0      0      2      4      0
    77.0      0      0      0      0     11      5      0
    76.5      0      0      2      0      4      2      0
    76.0      0      0      0      1      4      3      3
    75.5      0      0      1      2      2      9      0
    75.0      0      0      0      0      3      2      1
    74.5      0      0      0      1      1      4      0
    74.0      0      0      0      1      4      8      0
    73.5      0      0      0      1      5      6      0
    73.0      0      0      1      0      5      3      1
    72.5      0      0      2      2      5      3      0
    72.0      0      0      0      1      5      5      1
    71.5      0      0      0      2      3      5      3
    71.0      0      0      0      0      3      5      1
    70.5      0      0      0      0      3      3      0
    70.0      0      0      0      1      1      1      1
    69.5      0      0      1      1      4      5      0
    69.0      0      0      0      3      1      4      1
    68.5      0      0      0      1      4      7      0
    68.0      0      0      0      1      4      2      0
    67.5      0      0      0      0      3      3      0
    67.0      0      0      0      1      0      1      1
    66.5      0      0      0      0      3      1      0
    66.0      0      1      0      1      2      2      1
    65.5      0      0      0      0      3      1      0
    65.0      0      0      0      0      3      3      0
    64.5      0      0      0      1      1      3      0
    64.0      0      0      2      1      1      1      1
    63.5      0      0      0      3      4      7      0
    63.0      0      0      0      1      1      2      0
    62.5      0      0      0      0      1      3      4
    62.0      0      1      0      1      3      3      0
    61.5      0      0      1      0      5      1      0
    61.0      0      0      0      0      2      4      0
    60.5      0      0      0      0      0      0      1
    60.0      0      1      0      1      2      2      0
    59.5      0      0      1      1      2      0      0
    59.0      0      0      0      0      0      1      0
    58.5      0      0      0      0      1      1      0
    58.0      0      0      0      2      0      2      0
    57.5      0      0      0      0      3      2      1
    57.0      0      0      0      0      2      1      0
    56.5      0      0      0      0      4      2      0
    56.0      0      0      0      2      2      4      0
    55.5      0      0      0      0      0      1      0
    55.0      0      0      0      0      1      2      0
    54.5      0      0      0      0      1      0      0
    54.0      0      0      0      0      4      1      0
    53.5      0      0      0      0      1      0      0
    53.0      0      0      0      0      2      1      0
    52.5      0      0      0      0      1      2      0
    52.0      0      0      0      1      1      1      0
    51.5      0      0      0      0      0      1      0
    51.0      0      0      0      0      1      1      1
    50.5      0      0      0      1      0      1      0
    50.0      0      0      0      0      0      0      1
    49.5      0      0      0      0      0      3      0
    49.0      0      0      1      0      3      1      0
    48.5      0      0      0      0      0      0      0
    48.0      0      0      0      0      0      1      0
    47.5      0      0      0      0      0      0      0
    47.0      0      0      0      0      1      1      0
    46.5      0      0      0      1      0      0      0
    46.0      0      0      0      0      2      1      0
    45.5      0      0      0      0      0      0      0
    45.0      0      0      0      0      1      0      0
    44.5      0      0      0      0      0      1      0
    44.0      0      0      0      0      0      1      0
    43.5      0      0      0      0      0      2      0
    43.0      0      0      0      0      1      0      0
    42.5      0      0      0      0      0      2      0
    42.0      0      0      0      0      0      0      0
    41.5      0      0      0      0      0      0      0
    41.0      0      0      0      0      0      1      0
    40.5      0      0      0      0      0      0      0
    40.0      0      0      0      1      0      0      0
    39.5      0      0      0      0      1      0      0
    39.0      0      0      0      0      0      0      0
    38.5      0      0      0      0      0      0      0
    38.0      0      0      0      0      0      0      0
    37.5      0      0      0      0      0      0      0
    37.0      0      0      0      0      0      0      0
    36.5      0      0      0      0      0      0      0
    36.0      0      0      0      0      0      0      0
    35.5      0      0      0      0      0      1      0
    35.0      0      0      0      0      1      0      0
    34.5      0      0      0      0      0      1      0
    34.0      0      0      0      0      1      0      0
    33.5      0      0      0      0      0      0      0
    33.0      0      0      0      0      0      0      0
    32.5      0      0      0      0      0      0      0
    32.0      0      0      0      0      0      0      0
    31.5      0      0      0      0      0      0      0
    31.0      0      0      0      0      0      0      0
    30.5      0      0      0      0      0      0      0
    30.0      0      0      0      0      1      0      0
    29.5      0      0      0      0      0      0      0
    29.0      0      0      0      1      1      0      0
    28.5      0      0      0      0      0      0      0
    28.0      0      0      0      0      1      0      0
    27.5      0      0      0      0      0      0      0
    27.0      0      0      0      0      0      0      0
    26.5      0      0      0      0      0      0      0
    26.0      0      0      0      0      0      0      0
    25.5      0      0      0      0      0      0      0
    25.0      0      0      0      0      0      0      0
    24.5      0      0      0      0      0      0      0
    24.0      0      0      0      0      0      0      0
    23.5      0      0      0      0      0      0      0
    23.0      0      0      0      0      0      0      0
    22.5      0      0      0      0      0      0      0
    22.0      0      0      0      0      0      0      0
    21.5      0      0      0      0      0      0      0
    21.0      0      0      0      0      0      0      0
    20.5      0      0      0      0      0      0      0
    20.0      0      0      0      0      0      0      0
    19.5      0      0      0      0      0      0      0
    19.0      0      0      0      0      0      0      0
    18.5      0      0      0      0      0      0      0
    18.0      0      0      0      0      0      0      0
    17.5      0      0      0      0      0      0      0
    17.0      0      0      0      0      0      0      0
    16.5      0      0      0      0      0      0      0
    16.0      0      0      0      0      0      0      0
    15.5      0      0      0      0      0      0      0
    15.0      0      0      0      0      0      0      0
    14.5      0      0      0      0      0      0      0
    14.0      0      0      0      0      0      0      0
    13.5      0      0      0      0      0      0      0
    13.0      0      0      0      0      0      0      0
    12.5      0      0      0      0      0      0      0
    12.0      0      0      0      0      0      0      0
    11.5      0      0      0      0      0      0      0
    11.0      0      0      0      0      0      0      0
    10.5      0      0      0      0      0      0      0
    10.0      0      0      0      0      0      0      0
     9.5      0      0      0      0      0      0      0
     9.0      0      0      0      0      0      0      0
     8.5      0      0      0      0      0      0      0
     8.0      0      0      0      0      0      0      0
     7.5      0      0      0      0      0      0      0
     7.0      0      0      0      0      0      0      0
     6.5      0      0      0      0      0      0      0
     6.0      0      0      0      0      0      0      0
     5.5      0      0      0      0      0      0      0
     5.0      0      0      0      0      0      0      0
     4.5      0      0      0      0      0      0      0
     4.0      0      0      0      0      0      0      0
     3.5      0      0      0      0      0      0      0
     3.0      0      0      0      0      0      0      0
     2.5      0      0      0      0      0      0      0
     2.0      0      0      0      0      0      0      0
     1.5      0      0      0      0      0      0      0
     1.0      0      0      0      0      0      0      0
     0.5      0      0      0      0      0      0      0
              0      0      0      0      0      0      0



                   American Mathematics Competitions
                   2003 AMC 10 B Results for North Carolina             
                              Analysis      


                   Table of Item Difficulty for the 2003
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


    ITEM    A         B         C         D         E       OMITS       ?
    ____  _____     _____     _____     _____     _____     _____     _____

      1    0.01      0.07      9.73*     0.07      0.01      0.10      0.00
      2    0.03      0.07      1.05      8.17*     0.32      0.36      0.00
      3    0.20      7.32*     0.53      0.56      0.04      1.35      0.00
      4    8.76*     0.19      0.17      0.06      0.11      0.71      0.00
      5    0.28      0.32      4.06*     0.70      1.56      3.09      0.00
      6    1.07      1.56      0.27      4.29*     0.51      2.30      0.00
      7    0.48      5.84*     0.27      0.87      0.18      2.36      0.00
      8    0.24      1.08*     0.36      0.84      0.51      6.97      0.00
      9    0.24      3.31*     0.34      0.36      0.36      5.39      0.00
     10    0.21      0.43      3.45*     1.22      0.45      4.24      0.00
     11    6.03*     0.53      0.24      0.19      0.81      2.20      0.00
     12    0.51      0.57      6.25*     0.14      0.29      2.25      0.00
     13    2.64      0.68      0.32      0.85      1.30*     4.21      0.00
     14    1.06      0.45      0.25      3.58*     0.15      4.51      0.00
     15    1.52      2.00      0.28      0.90      2.93*     2.38      0.00
     16    0.17      0.22      0.40      0.58      5.39*     3.23      0.00
     17    0.22      1.65*     1.00      0.31      0.10      6.72      0.00
     18    0.42      1.50      0.29      2.06*     1.86      3.88      0.00
     19    0.24      0.30      0.45      0.50      0.47*     8.05      0.00
     20    0.31      0.29      0.45      1.96*     1.16      5.84      0.00
     21    1.97      0.35      0.56*     1.29      0.55      5.26      0.01
     22    1.42      2.31*     1.93      0.64      0.40      3.30      0.00
     23    0.33      0.47      0.51      1.13*     0.39      7.16      0.01
     24    0.07      0.13      1.72      0.17      0.05*     7.86      0.00
     25    0.85      2.67*     1.07      0.37      0.28      4.76      0.00


   (*)  Correct Response

   (?)  Response the computer was unable to read due to incomplete
        erasures or two answers marked in the same column




                   American Mathematics Competitions
                   2003 AMC 12 B Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0      1     0         125.0      1     0         100.0      0     0 
    149.5      0     0         124.5      0     0          99.5      3     2 
    149.0      0     0         124.0      1     0          99.0      0     0 
    148.5      0     0         123.5      0     0          98.5      6     1 
    148.0      0     0         123.0      1     1          98.0      1     0 
    147.5      0     0         122.5      0     0          97.5      1     0 
    147.0      0     0         122.0      0     0          97.0      2     0 
    146.5      0     0         121.5      0     0          96.5      0     0 
    146.0      0     0         121.0      0     0          96.0      2     1 
    145.5      0     0         120.5      0     0          95.5      0     1 
    145.0      0     0         120.0      0     0          95.0      5     0 
    144.5      0     0         119.5      0     0          94.5      1     2 
    144.0      0     0         119.0      0     0          94.0      1     0 
    143.5      0     0         118.5      1     0          93.5      5     2 
    143.0      0     0         118.0      0     0          93.0      2     1 
    142.5      0     0         117.5      0     0          92.5      1     2 
    142.0      0     0         117.0      0     0          92.0      6     2 
    141.5      0     0         116.5      0     0          91.5      2     3 
    141.0      0     0         116.0      1     0          91.0      2     0 
    140.5      0     0         115.5      0     0          90.5      0     2 
    140.0      0     0         115.0      0     0          90.0      7     7 
    139.5      1     0         114.5      0     0          89.5      0     1 
    139.0      0     0         114.0      0     0          89.0      8     8 
    138.5      0     0         113.5      2     0          88.5      3     0 
    138.0      0     0         113.0      0     0          88.0      3     2 
    137.5      0     0         112.5      1     0          87.5      4     4 
    137.0      0     0         112.0      0     0          87.0      0     0 
    136.5      0     0         111.5      0     1          86.5      5     4 
    136.0      0     0         111.0      1     1          86.0      4     0 
    135.5      0     0         110.5      0     0          85.5      2     5 
    135.0      0     0         110.0      0     0          85.0      2     2 
    134.5      0     0         109.5      0     0          84.5      6     5 
    134.0      0     0         109.0      3     0          84.0      8     3 
    133.5      0     0         108.5      0     0          83.5      2     0 
    133.0      0     0         108.0      3     0          83.0      4     7 
    132.5      0     0         107.5      1     1          82.5      0     1 
    132.0      0     0         107.0      0     0          82.0      4     3 
    131.5      0     0         106.5      1     1          81.5      8     4 
    131.0      0     0         106.0      0     0          81.0      4     1 
    130.5      0     0         105.5      6     1          80.5      6     8 
    130.0      1     0         105.0      0     0          80.0      3     1 
    129.5      0     0         104.5      4     0          79.5      4     4 
    129.0      0     0         104.0      3     0          79.0      3     3 
    128.5      0     0         103.5      0     0          78.5      9     6 
    128.0      0     0         103.0      3     1          78.0     11    12 
    127.5      3     0         102.5      0     0          77.5      8     1 
    127.0      0     0         102.0      2     4          77.0     10    11 
    126.5      0     0         101.5      0     0          76.5      1     2 
    126.0      1     0         101.0      0     1          76.0      9    11 
    125.5      1     0         100.5      2     3          75.5      6     7 



                   American Mathematics Competitions
                   2003 AMC 12 B Results for North Carolina             
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0      4     8          50.0      2     1          25.0      0     0 
     74.5     12     6          49.5      1     1          24.5      0     0 
     74.0      4     4          49.0      0     2          24.0      1     0 
     73.5     10     7          48.5      1     1          23.5      0     0 
     73.0      3     6          48.0      2     3          23.0      0     0 
     72.5      6    10          47.5      1     0          22.5      0     0 
     72.0      4     6          47.0      2     2          22.0      0     0 
     71.5      1     4          46.5      1     1          21.5      0     0 
     71.0      7     5          46.0      1     0          21.0      0     0 
     70.5      6     3          45.5      1     0          20.5      0     0 
     70.0      4     6          45.0      0     1          20.0      0     0 
     69.5      6     6          44.5      0     3          19.5      0     0 
     69.0      8     5          44.0      0     1          19.0      0     0 
     68.5      5     8          43.5      0     0          18.5      0     0 
     68.0      5     2          43.0      0     0          18.0      1     0 
     67.5      8     5          42.5      0     1          17.5      0     0 
     67.0      3     5          42.0      2     2          17.0      0     0 
     66.5      7     9          41.5      3     1          16.5      0     0 
     66.0     11     7          41.0      0     2          16.0      0     0 
     65.5      3     5          40.5      0     0          15.5      0     0 
     65.0      6    10          40.0      0     0          15.0      0     0 
     64.5      2     5          39.5      0     0          14.5      0     0 
     64.0      6     9          39.0      0     0          14.0      0     0 
     63.5      4     4          38.5      1     0          13.5      0     0 
     63.0      3     1          38.0      0     0          13.0      0     0 
     62.5      7     6          37.5      0     2          12.5      0     0 
     62.0      1     3          37.0      2     0          12.0      0     0 
     61.5      4     6          36.5      1     0          11.5      0     0 
     61.0      2     3          36.0      1     1          11.0      0     0 
     60.5      2     4          35.5      0     0          10.5      0     0 
     60.0      2     8          35.0      0     0          10.0      0     0 
     59.5      1     3          34.5      0     0           9.5      0     0 
     59.0      1     1          34.0      0     0           9.0      0     0 
     58.5      1     3          33.5      0     0           8.5      0     0 
     58.0      2     4          33.0      1     0           8.0      0     0 
     57.5      2     1          32.5      1     0           7.5      0     0 
     57.0      2     5          32.0      0     0           7.0      0     0 
     56.5      2     3          31.5      0     0           6.5      0     0 
     56.0      1     1          31.0      0     0           6.0      0     0 
     55.5      0     1          30.5      0     0           5.5      0     0 
     55.0      1     1          30.0      0     0           5.0      0     0 
     54.5      2     3          29.5      0     0           4.5      0     0 
     54.0      2     4          29.0      0     0           4.0      0     0 
     53.5      3     1          28.5      0     0           3.5      0     0 
     53.0      1     4          28.0      0     1           3.0      0     0 
     52.5      1     2          27.5      0     0           2.5      0     0 
     52.0      0     1          27.0      0     0           2.0      0     0 
     51.5      2     3          26.5      0     0           1.5      0     0 
     51.0      1     3          26.0      0     0           1.0      0     0 
     50.5      0     0          25.5      0     0           0.5      0     0 
                                                            0.0      0     0



                   American Mathematics Competitions
                   2003 AMC 12 B Results for North Carolina             
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             5      6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   150.0      0      0      0      0      0      0      1      0      0      0
   149.5      0      0      0      0      0      0      0      0      0      0
   149.0      0      0      0      0      0      0      0      0      0      0
   148.5      0      0      0      0      0      0      0      0      0      0
   148.0      0      0      0      0      0      0      0      0      0      0
   147.5      0      0      0      0      0      0      0      0      0      0
   147.0      0      0      0      0      0      0      0      0      0      0
   146.5      0      0      0      0      0      0      0      0      0      0
   146.0      0      0      0      0      0      0      0      0      0      0
   145.5      0      0      0      0      0      0      0      0      0      0
   145.0      0      0      0      0      0      0      0      0      0      0
   144.5      0      0      0      0      0      0      0      0      0      0
   144.0      0      0      0      0      0      0      0      0      0      0
   143.5      0      0      0      0      0      0      0      0      0      0
   143.0      0      0      0      0      0      0      0      0      0      0
   142.5      0      0      0      0      0      0      0      0      0      0
   142.0      0      0      0      0      0      0      0      0      0      0
   141.5      0      0      0      0      0      0      0      0      0      0
   141.0      0      0      0      0      0      0      0      0      0      0
   140.5      0      0      0      0      0      0      0      0      0      0
   140.0      0      0      0      0      0      0      0      0      0      0
   139.5      0      0      0      0      0      0      1      0      0      0
   139.0      0      0      0      0      0      0      0      0      0      0
   138.5      0      0      0      0      0      0      0      0      0      0
   138.0      0      0      0      0      0      0      0      0      0      0
   137.5      0      0      0      0      0      0      0      0      0      0
   137.0      0      0      0      0      0      0      0      0      0      0
   136.5      0      0      0      0      0      0      0      0      0      0
   136.0      0      0      0      0      0      0      0      0      0      0
   135.5      0      0      0      0      0      0      0      0      0      0
   135.0      0      0      0      0      0      0      0      0      0      0
   134.5      0      0      0      0      0      0      0      0      0      0
   134.0      0      0      0      0      0      0      0      0      0      0
   133.5      0      0      0      0      0      0      0      0      0      0
   133.0      0      0      0      0      0      0      0      0      0      0
   132.5      0      0      0      0      0      0      0      0      0      0
   132.0      0      0      0      0      0      0      0      0      0      0
   131.5      0      0      0      0      0      0      0      0      0      0
   131.0      0      0      0      0      0      0      0      0      0      0
   130.5      0      0      0      0      0      0      0      0      0      0
   130.0      0      0      0      0      0      0      0      1      0      0
   129.5      0      0      0      0      0      0      0      0      0      0
   129.0      0      0      0      0      0      0      0      0      0      0
   128.5      0      0      0      0      0      0      0      0      0      0
   128.0      0      0      0      0      0      0      0      0      0      0
   127.5      0      0      0      1      0      0      0      2      0      0
   127.0      0      0      0      0      0      0      0      0      0      0
   126.5      0      0      0      0      0      0      0      0      0      0
   126.0      0      0      0      0      0      1      0      0      0      0
   125.5      0      0      0      0      0      0      1      0      0      0
   125.0      0      0      0      0      1      0      0      0      0      0
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