American Mathematics Competitions
                   2008 AMC 10 A Results for Michigan                   
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1029

      Number of unofficial participants:         13

      Average score of participants:           58.4

      Average score for female students  is:   51.9  (   428 Students)
      Average score for male students is:      63.7  (   470 Students)
      Average score for unspecified gender is  60.3  (   131 Students)
      Average score for grade 10 is:           59.6  (   466 Students)
      Average score for grade 9 is:            54.1  (   452 Students)
      Average score for grade 8 and below is:  81.3  (    68 Students)
      Average score with unknown grade:        53.8  (    43 Students)

        AIME qualifying score =  117.0 or better
        Number of AIME qualifers                 21

        Number of schools returning results      35
        Average school winning score           93.47


                   American Mathematics Competitions
                   2008 AMC 12 A Results for Michigan                   
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1171

      Number of unofficial participants:          0

      Average score of participants:           66.2

      Average score for female students  is:   60.6  (   379 Students)
      Average score for male students is:      70.1  (   649 Students)
      Average score for unspecified gender is  63.7  (   143 Students)
      Average score for grade 13 is:           52.5  (     2 Students)
      Average score for grade 12 is:           65.7  (   520 Students)
      Average score for grade 11 is:           66.0  (   514 Students)
      Average score for grade 10 is:           69.2  (    78 Students)
      Average score for grade 9 is:            75.8  (    24 Students)
      Average score for grade 8 and below is:  78.6  (     8 Students)
      Average score with unknown grade:        61.0  (    25 Students)

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                 97

        Number of schools returning results      43
        Average school winning score          102.17
        Average school team score             281.20
 


                   American Mathematics Competitions
                   2008 AMC 10 B Results for Michigan                   
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    635

      Number of unofficial participants:          0

      Average score of participants:           61.2

      Average score for female students  is:   55.7  (   208 Students)
      Average score for male students is:      66.0  (   348 Students)
      Average score for unspecified gender is  55.0  (    79 Students)
      Average score for grade 10 is:           63.2  (   291 Students)
      Average score for grade 9 is:            56.5  (   236 Students)
      Average score for grade 8 and below is:  75.3  (    64 Students)
      Average score with unknown grade:        53.0  (    44 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                 20

        Number of schools returning results      25
        Average school winning score           95.82


                   American Mathematics Competitions
                   2008 AMC 12 B Results for Michigan                   
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    722

      Number of unofficial participants:          0

      Average score of participants:           63.4

      Average score for female students  is:   58.2  (   208 Students)
      Average score for male students is:      66.4  (   451 Students)
      Average score for unspecified gender is  59.6  (    63 Students)
      Average score for grade 12 is:           64.5  (   293 Students)
      Average score for grade 11 is:           60.0  (   327 Students)
      Average score for grade 10 is:           71.4  (    45 Students)
      Average score for grade 9 is:            77.6  (    17 Students)
      Average score for grade 8 and below is:  85.0  (    17 Students)
      Average score with unknown grade:        57.5  (    23 Students)

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                 36

        Number of schools returning results      28
        Average school winning score           90.80
        Average school team score             259.13
 


    2008 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    399.0         1                   1
    394.5                   1         2
    367.5         1                   3
    363.0                   1         4
    355.5         1                   5
    354.0                   1         6
    352.5         1                   7
    351.0         1                   8
    345.0         1                   9
    340.5                   1        10
    337.5         1                  11
    336.0         1                  12
    333.0         1                  13
    330.0         1                  14
    325.5         2                  15
    321.0                   1        17
    312.0         1                  18
    309.0                   1        19
    307.5         1                  20
    306.0                   1        21
    303.0         2                  22
    298.5         1                  24
    295.5         1                  25
    294.0         4                  26
    289.5         1                  30
    285.0         1                  31
    280.5                   1        32
    279.0         2                  33
    277.5                   1        35
    273.0                   1        36
    268.5                   1        37
    265.5         1                  38
    264.0         1         1        39
    259.5                   1        41
    258.0                   1        42
    255.0         1                  43
    253.5         2                  44
    250.5                   2        46
    249.0         1                  48
    243.0         1                  49
    241.5         1                  50
    238.5                   1        51
    237.0         1                  52
    231.0         1         1        53
    228.0                   1        55
    225.0                   1        56
    220.5                   2        57
    208.5         1                  59
    207.0                   2        60
    202.5         1                  62
    199.5         1                  63
    196.5                   1        64
    195.0         2                  65
    189.0                   1        67
    171.0         1         1        68
    151.5                   1        70
    141.0         1                  71
 


         2008 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    150.0                             1
    144.0                                       1
    139.5                                       1
    138.0         1         1         1         1
    136.5         1                             1
    135.0                                       2
    133.5                                       1
    132.0         2         1         2         4
    130.5         1         1                   1
    129.0                             2
    127.5                             1
    126.0         2         1         5         1
    124.5         2                   2
    123.0         1                   1         2
    121.5         3         1                   2
    120.0         1         2         1         3
    118.5         2         2         3
    117.0         4                   2         4
    115.5         5                             3
    114.0         5         1         3         1
    112.5         5         1         2
    111.0         2                   2         1
    109.5         3         2         4         1
    108.0         2         2         3         2
    106.5         1         1         2         1
    105.0         8         1         4
    103.5         8         4         5
    102.0         9         4        10         3
    100.5         8         5                   5
     99.0         8         4         2         4
     97.5        13         2         9         2
     96.0        18         3         5         7
     94.5        13         8         4         2
     93.0        12         7         9         2
     91.5        10         6         5         5
     90.0        10        13        10         5
     88.5        15         9         1         3
     87.0        15         7         6         3
     85.5        11         3         9         4
     84.0        25        10        14         8
     82.5        32        19         5         8
     81.0        19         7        14         4
     79.5        22        10        10         6
     78.0        29        18        13        10
     76.5        32        16        16        12
     75.0        23        12        16         7
     73.5        24        12        16        10
     72.0        30        18        21        12
     70.5        27        16        14        14
     69.0        25        16        18        16
     67.5        32        18        16        12
     66.0        42        26        21        26
     64.5        38        30        19        21
     63.0        25        28        22        16
     61.5        29        19        29        25
     60.0        47        35        39        25
     58.5        31        32        26        12
     57.0        25        28        29        17
     55.5        34        16        38        25
     54.0        47        26        35        22
     52.5        26        19        29        27
     51.0        37        24        41        11
     49.5        36        12        36        16
     48.0        24        31        31        24
     46.5        23        21        34        18
     45.0        27        15        25        12
     43.5        20         9        41        17
     42.0        30        16        33        27
     40.5        20        11        32        13
     39.0        15        13        31        10
     37.5        19         9        20        13
     36.0        12         8        30        11
     34.5         6         1        24         7
     33.0         9         3         9         8
     31.5         1         8        18         7
     30.0         6         4         7        10
     28.5         4         3         2         1
     27.0         4         1         6
     25.5         4         3         8         3
     24.0         4         5         4         5
     22.5         2                  10         2
     21.0                   1         1         1
     19.5                             5         2
     18.0         1                   1         1
     16.5                             2
     15.0                   1
     12.0         1                   1         2
     10.5                             1
      7.5                                       1
      6.0         1



                   American Mathematics Competitions
                   2008 AMC 10 A Results for Michigan                   
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10      ?
    ----------------------------------------------------------------------------------------
    150.0      1                                                1
    138.0      1                                         1
    132.0      1      1             1                    1
    129.0      1                           1                    1
    127.5      1                                         1
    126.0      2      1                                  2      3
    124.5      2                                  1             1
    123.0      1                                                1
    120.0      1                                                1
    118.5      2      1                                  1      2
    117.0      2                           1                    1
    114.0      2      1                                         3
    112.5      1      1                    1                    1
    111.0      1                                  1             1
    109.5      3                                         4
    108.0      2      1                           2             1
    106.5             1                           1                    1
    105.0      4                                  4
    103.5      4                                         2      3
    102.0      8                                         3      6      1
     99.0      1                                         2
     97.5      7      1                           2      2      5
     96.0      4                           1      2             2
     94.5      1      1                    1      2             1
     93.0      7      2                           1      4      4
     91.5      1      3                           1      1      3
     90.0      8      1                    2      2      2      4
     88.5      1                                         1
     87.0      3      3                           1      2      3
     85.5      4      5                                         9
     84.0     10      2                    1      3      3      7
     82.5      3      2                           2      1      2
     81.0      9      3                                  5      9
     79.5      6      2             2                    4      3      1
     78.0      9      1             1             2      3      6      1
     76.5      9      6                           1      7      8
     75.0      9      5                    1             8      6      1
     73.5      6      8             2      1             7      6
     72.0     12      4             1      1            11      7      1
     70.5     10      1                           1      5      5      3
     69.0      9      9                    1            11      6
     67.5     13      2                    1             8      7
     66.0     11      4             2                    6     11      2
     64.5      7      9                           1      4     11      3
     63.0     10      7             1                    8     12      1
     61.5     12     14                                 12     16      1
     60.0     19     16             1             2     21     15
     58.5     13     10                                 11     14      1
     57.0     17     10                           3     12     14
     55.5     16     19                                 17     21
     54.0     11     18             1             3     16     12      3
     52.5     16     10                    1            10     16      2
     51.0     14     25                                 21     19      1
     49.5     14     20                           1     12     23
     48.0     17     11                                 16     14      1
     46.5     11     17                           1     10     20      3
     45.0     11      9             1                   12     11      1
     43.5      8     28                                 24     16      1
     42.0     11     16                                 17     14      2
     40.5     10     18                                 18     12      2
     39.0     10     16                                 17     12      2
     37.5      6     11                                  9     10      1
     36.0     11     16                                 20     10
     34.5      6     14                                 12     11      1
     33.0      3      5                                  7      1      1
     31.5      6      9                                  8      7      3
     30.0      3      3                                  3      4
     28.5      1      1                                  1      1
     27.0      3      3                                  4      2
     25.5      2      6                                  7      1
     24.0      2      1                                         3      1
     22.5      3      7                           1      7      2
     21.0             1                                                1
     19.5      3      2                                  5
     18.0             1                                  1
     16.5             2                                         2
     12.0      1                                         1
     10.5             1                                  1



                   American Mathematics Competitions
                   2008 AMC 10 A Results for Michigan                   
                              Analysis      


                   Table of Item Difficulty for the 2008
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    2.14      0.87      7.39     85.62*     3.21      0.78      0.00
      2   47.81*    17.98     24.59      1.26      0.97      7.29      0.10
      3   77.75*     3.30      2.62      1.17      2.62     12.54      0.00
      4    3.40      6.51     58.41*     9.82      4.76     17.10      0.00
      5    7.00     37.12*     4.86      4.57      3.89     42.57      0.00
      6    3.21      3.50      2.43     22.64*    45.48     22.74      0.00
      7   41.98      4.08      6.51      2.43     16.03*    28.96      0.00
      8   43.44*     6.80      3.21     24.78      3.01     18.66      0.10
      9    2.82     32.75*    13.70     31.68      6.71     12.24      0.10
     10    1.26     43.15      8.26      0.58     37.41*     9.33      0.00
     11    4.66      4.37      7.97     60.93*     9.72     12.34      0.00
     12    9.23      4.08     37.12*    10.01      6.61     32.85      0.10
     13   16.23     31.29      9.33     28.67*     1.65     12.83      0.00
     14    3.89      7.77      7.58     20.89*     4.47     55.39      0.00
     15    2.43      4.37     25.46     26.63*     7.68     33.43      0.00
     16    4.57     12.34*     5.73     16.52      8.16     52.67      0.00
     17    6.71      9.72*     6.41      6.51      4.08     66.57      0.00
     18    5.15      8.65*     5.83      3.89      3.98     72.50      0.00
     19    5.34      7.58      9.72*     4.86      4.37     68.12      0.00
     20    3.89      4.66     18.66      8.94*     2.14     61.71      0.00
     21   11.47*    23.23      4.57      5.73      3.01     51.90      0.10
     22    6.12      6.32     20.12     27.60*     8.16     31.68      0.00
     23    9.62      6.51*     9.43      7.39      2.04     65.01      0.00
     24    9.04      8.94      8.84      8.45*     9.14     55.39      0.19
     25    3.79      7.48      7.19*     4.47      5.93     71.04      0.10


   (*)  Correct Response

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




                   American Mathematics Competitions
                   2008 AMC 12 A Results for Michigan                   
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10     11     12     13      ?
    ----------------------------------------------------------------------------------------
    138.0      1                                                1
    136.5      1                                                       1
    132.0      2                                                       1      1
    130.5      1                                                       1
    126.0      2                                                       2
    124.5      2                                         1             1
    123.0      1                                                              1
    121.5      2                                                1             2
    120.0      1                                                       1
    118.5      2                                                       1      1
    117.0      2      1                                         1             3
    115.5      4      1                                                1      4
    114.0      4      1                                         2      1      2
    112.5      4                                                       2      3
    111.0      2                                                              2
    109.5      3                                                              3
    108.0      2                                         1                    1
    106.5      1                                                       1
    105.0      5      1                           1                    2      5
    103.5      5      3                                  2      1      3      2
    102.0      8      1                                  1      2      1      5
    100.5      4      2                                  2             3      3
     99.0      3      3                                                2      6
     97.5     10      3                                                3     10
     96.0     12      3                                         1      9      7             1
     94.5      8      1                           1             1      2      9
     93.0     10      2                                                6      6
     91.5      9                                         1      2      4      3
     90.0      9      1                    1                           4      5
     88.5      7      5                                  1      3      6      5
     87.0     11      2                                                8      7
     85.5      9      2                                                4      7
     84.0     16      7                                  1      1     16      7
     82.5     21      8                           1      1      4     13     13
     81.0      8     10                                         2      8      8             1
     79.5     11     10                                         1      8     13
     78.0     20      4                                         2     16     11
     76.5     22      8                                         1     19     12
     75.0     13      8                                         1     10     11             1
     73.5     14      3                                         3      7     13             1
     72.0     17     10                           1             1     12     13             3
     70.5     14     12                                  1      4     14      8
     69.0     18      6                                               18      7
     67.5     16      8                                         1     12     18             1
     66.0     23     15                                         1     25     16
     64.5     22     13                    1             1      2     22     11             1
     63.0     15      8                           1             6     12      4      1      1
     61.5     13     13                                  1      2     12     13             1
     60.0     27     10                                  2      4     20     19             2
     58.5     21      5                                         2     15     13             1
     57.0     10     14                           1             1     12     10             1
     55.5     18     10                                         2     17     14             1
     54.0     25     17                                  3      1     20     22             1
     52.5     11      9                                  2      2     11      9             2
     51.0     18     17                                  2      4     18     13
     49.5     13     20                                         5     20     10             1
     48.0     11     11                                               10     13             1
     46.5      5     17                                         2     10     10             1
     45.0     11      8                                  1      1     11     12             2
     43.5      9      7                                                9     11
     42.0     13     14                                         2     14     12      1      1
     40.5      4     12                                         1      5     14
     39.0      7      7                                         1      6      8
     37.5     11      4                                         1      7     11
     36.0      7      4                                         1      6      5
     34.5      3      2                                         1      2      3
     33.0      4      4                                                4      5
     31.5                                                                     1
     30.0      3      2                                                1      5
     28.5      1      3                                                       4
     27.0             4                                                       4
     25.5      2      1                                                       4
     24.0      2      1                                                2      2
     22.5      2                                                              2
     18.0      1                                                              1
     12.0                                                                     1
      6.0             1                                                       1



                   American Mathematics Competitions
                   2008 AMC 12 A Results for Michigan                   
                              Analysis      


                   Table of Item Difficulty for the 2008
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    1.20      0.68      5.29     89.92*     2.48      0.43      0.00
      2   91.37*     4.18      1.62      0.43      2.05      0.34      0.00
      3    2.82      5.04     71.56*     9.65      4.01      6.92      0.00
      4    5.47     53.12*     5.12      6.06      4.10     26.13      0.00
      5    0.85     43.98*    12.81     28.78      5.04      8.54      0.00
      6   54.14*     6.66      2.31     27.67      1.71      7.51      0.00
      7    5.55      1.88      4.61     75.49*     6.23      6.15      0.09
      8    3.93      6.15     64.05*     4.01     12.04      9.82      0.00
      9    3.93     10.85      5.72     38.51*     4.53     36.46      0.00
     10   12.72     29.80      9.05     39.45*     1.45      7.43      0.09
     11    5.04      5.64     63.96*     5.38      4.61     15.37      0.00
     12   10.50     32.11*     8.97     10.16      6.40     31.85      0.00
     13    4.36     24.25*     8.88     17.85      6.75     37.57      0.34
     14   12.30*     7.17      5.72      7.34      3.25     64.22      0.00
     15   11.10      9.14     11.78     14.60*     9.74     43.64      0.00
     16    3.59      8.37      7.94     13.24*     1.45     65.41      0.00
     17    2.56      7.77      7.77     10.59*     8.97     62.34      0.00
     18    3.16      5.64      9.22*     2.39      8.63     70.96      0.00
     19    3.76      9.56     11.70*     5.72      2.13     67.04      0.09
     20    2.56      6.23      5.04      4.01      5.47*    76.69      0.00
     21    5.98      6.49      7.94     11.61*     4.78     63.19      0.00
     22    5.29      6.66      9.22*     7.17      6.32     65.24      0.09
     23    3.07      5.04      4.36      4.78*     2.22     80.53      0.00
     24    4.87     16.05     10.33      4.18*     7.51     57.05      0.00
     25    3.16      5.81      5.12      9.39*     4.01     72.50      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
                   2008 AMC 10 B Results for Michigan                   
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10      ?
    ----------------------------------------------------------------------------------------
    144.0      1                                                1
    139.5      1                                                1
    138.0      1                                         1
    136.5             1                                  1
    135.0      2                                                2
    133.5      1                                  1
    132.0      4                           1                    3
    130.5             1                                  1
    126.0      1                                         1
    123.0      1      1                                  1      1
    121.5      2                                                2
    120.0      2                           1             1      1
    117.0      4                           1      1             2
    115.5      3                           1             1      1
    114.0      1                                         1
    111.0             1                           1
    109.5      1                                                1
    108.0      1      1                                         2
    106.5      1                                         1
    102.0      1      1                                         2      1
    100.5      5                           1      1      1      2
     99.0      3      1                           1      2      1
     97.5      1      1                           1      1
     96.0      3      3                           2      1      4
     94.5      2                                         1      1
     93.0      2                                                2
     91.5      3      2                                         5
     90.0      5                                  2      1      2
     88.5      3                                  1      1      1
     87.0      2      1                                         3
     85.5      4                                         2      2
     84.0      6      2                    1      3      1      3
     82.5      4      3                    1             2      4      1
     81.0      1      3                                  2      2
     79.5      4      2             1             1      1      3
     78.0      4      3             2             1      5      2
     76.5      3      8                           1      5      6
     75.0      4      1                                  5      2
     73.5      7      2                    1             6      2      1
     72.0      9      1                    2             2      6      2
     70.5      9      5             1                    3     10
     69.0     11      4                    1      3      4      8
     67.5     11                                  1      3      7      1
     66.0     15      7             2      1             6     16      1
     64.5     13      5             2      2             7      7      3
     63.0      9      2                                  5      7      4
     61.5     14      9                    1      1      4     18      1
     60.0     18      6             2             2      8     13
     58.5      5      5             1      1             4      5      1
     57.0     10      4             3                    3     10      1
     55.5     19      6             2      2            11      9      1
     54.0     11      6             1      1            11      6      3
     52.5     10     14                                 13     12      2
     51.0      2      7                                  6      4      1
     49.5      9      5                                  5      9      2
     48.0     10     11                           1     11     10      2
     46.5      8      8                                  8      9      1
     45.0      5      3                                  5      5      2
     43.5      9      5                                 12      4      1
     42.0     12     11             1                    9     14      3
     40.5      4      6                                  6      5      2
     39.0      3      6                                  5      5
     37.5      5      5             1                    7      4      1
     36.0      4      7                                  5      6
     34.5      4      1                                  2      4      1
     33.0      3      5                                  6      2
     31.5      4      1                                  4      1      2
     30.0      5      2                           1      4      3      2
     28.5             1                                         1
     25.5      1      2                                  3
     24.0      1      2                                  1      3      1
     22.5             2                                  2
     21.0      1                                         1
     19.5             2                                  1      1
     18.0             1                                  1
     12.0             2                                  2
      7.5             1                                         1



                   American Mathematics Competitions
                   2008 AMC 10 B Results for Michigan                   
                              Analysis      


                   Table of Item Difficulty for the 2008
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    3.46      1.26      2.99     11.02     79.69*     1.57      0.00
      2    7.87     72.76*     9.13      3.31      1.57      5.35      0.00
      3   22.68      6.93      7.56     28.03*     4.25     30.55      0.00
      4   12.44     14.49     61.73*     0.79      2.20      8.35      0.00
      5   42.52*     8.50      2.20      4.25      5.83     36.69      0.00
      6    8.98      5.98     37.80*    12.28      7.56     27.40      0.00
      7    7.09      7.87     63.78*     5.83      5.35     10.08      0.00
      8    2.99      8.50     57.17*    10.39      6.77     14.17      0.00
      9   18.74*     7.87      6.61      9.76     10.08     46.93      0.00
     10   18.58*    10.08      4.41      8.03      6.14     52.60      0.16
     11    2.99     17.17*     9.13     10.87      5.35     54.49      0.00
     12   70.55*     5.67      5.83      2.83      5.35      9.76      0.00
     13   26.30     13.07*     9.61      4.25      6.14     40.63      0.00
     14   11.50     33.70*     4.25      2.83      2.36     45.35      0.00
     15   12.91*     9.45      6.30      8.98      6.61     55.75      0.00
     16   30.71*    25.35      4.72      7.09      5.04     27.09      0.00
     17   12.91     13.23*    24.57     14.02      7.87     27.40      0.00
     18    9.29     17.64*    16.85      4.72      3.78     47.72      0.00
     19    5.83      5.20      7.72      9.76      7.56*    63.94      0.00
     20   10.55     39.06*    10.55      8.66      3.15     28.03      0.00
     21   10.24     13.39      7.56*     9.13      5.51     54.17      0.00
     22   13.86      9.61     25.98*    10.55      6.61     33.23      0.16
     23   13.54     11.50*     7.87     10.71      2.99     53.23      0.16
     24    9.13     11.65      9.61*    13.39      8.98     47.24      0.00
     25   23.31     14.96*    12.91      6.30      5.67     36.85      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
                   2008 AMC 12 B Results for Michigan                   
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    <=6      7      8      9     10     11     12     13      ?
    ----------------------------------------------------------------------------------------
    138.0      1                                         1
    132.0      1                                                              1
    130.5      1                                                       1
    126.0      1                                                       1
    121.5             1                                                1
    120.0      2                                                       1      1
    118.5      2                                                              2
    114.0      1                                         1
    112.5      1                                                              1
    109.5      2                                                       1      1
    108.0      2                           1                    1
    106.5      1                                                1
    105.0      1                                                              1
    103.5      2      2                           1                    1      2
    102.0      4                           1                                  3
    100.5      4                                  1                           3             1
     99.0      3                                                1      2                    1
     97.5      2                                                       2
     96.0      2      1                                                       3
     94.5      5      2                                         3      3      1             1
     93.0      4      3                           1             2      2      2
     91.5      4      1                    1      1             1      2      1
     90.0     13                           2      1      1             6      3
     88.5      6      1                                  2             3      4
     87.0      6                                                2      2      3
     85.5      2      1                                         1      1      1
     84.0      7      2             1             1             2      2      4
     82.5     13      5                           1      1      2      7      8
     81.0      5      2                                         1      4      2
     79.5      8      1                                         2      4      4
     78.0     13      3                                  1      1      6     10
     76.5     14      2                           1                    7      8
     75.0     10      2                           1             2      3      5             1
     73.5      7      4                                         1      5      6
     72.0     11      5                                  2             9      6             1
     70.5      9      6                                         3      6      7
     69.0      8      5                                                4     12
     67.5     14      3                                  1      1      7      9
     66.0     16      9                                  3             8     14             1
     64.5     22      7                                         2     11     17
     63.0     21      5                                               17     10             1
     61.5      8      9                                               13      6
     60.0     27      6                                         1     21     12             1
     58.5     18     11                           1      2      1     14     13             1
     57.0     14     12                                  1      3      9     14             1
     55.5      8      8                                  1             6      9
     54.0     17      6                                         4      8     14
     52.5      3     14                                               11      7             1
     51.0     14      5                                               19      2             3
     49.5     11      1                                         1      6      5
     48.0     17      9                                         1     16     13             1
     46.5      8     12                                               11      9             1
     45.0      7      5                                         1      8      4             2
     43.5      4      4                                         1      5      3
     42.0      7      5                                               12      2             2
     40.5      7      4                                                3      8
     39.0      8      5                                         1      9      3
     37.5      5      2                                                5      3             1
     36.0      4      2                                         1      4      2             1
     34.5             1                                                1
     33.0      1      2                                                3
     31.5      3      5                                         1      4      3
     30.0      2      2                                                2      2
     28.5             2                                                2                    1
     27.0             1                                                1
     25.5      2      1                                                1      2
     24.0      3      1                           1                    2      2
     21.0      1                                                       1
     15.0      1                                                       1



                   American Mathematics Competitions
                   2008 AMC 12 B Results for Michigan                   
                              Analysis      


                   Table of Item Difficulty for the 2008
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.97      0.69      2.49     11.91     82.55*     1.39      0.00
      2    5.40     80.47*     7.62      1.80      1.66      3.05      0.00
      3    5.82      9.14     78.25*     1.39      1.25      4.16      0.00
      4    3.88      3.05      5.68     69.25*     3.74     14.40      0.00
      5    1.52      7.62     60.94*    11.63      7.34     10.94      0.00
      6   80.33*     4.99      3.19      1.94      3.19      6.37      0.00
      7   60.11*     8.45      2.77      2.77      4.71     21.19      0.00
      8    3.32      5.40     50.97*    10.94      6.09     23.27      0.00
      9   27.84*     6.93      8.31      6.93      4.99     45.01      0.00
     10    5.96     32.96*    15.24      8.17      3.05     34.63      0.00
     11   10.53*    10.11      6.23     11.08     28.12     33.93      0.00
     12   19.11     24.38*     9.83      4.29      6.23     36.15      0.00
     13    4.16     15.79*     5.54      7.89      2.91     63.71      0.00
     14    5.54      6.23     28.25*     8.59      6.93     44.46      0.00
     15    3.88      8.03     10.25*     8.03      8.31     61.50      0.00
     16   19.39     12.74*    10.11     10.53      2.08     45.15      0.00
     17    4.29      7.89      9.42*     6.79      2.63     68.98      0.00
     18    5.12      5.96      8.03      9.83      7.76*    63.16      0.14
     19    6.09      6.65*     7.76      6.93      3.46     68.98      0.14
     20   23.68     19.11*     9.97      5.26      4.57     37.40      0.00
     21    2.22      5.96      7.06      8.17      3.05*    73.55      0.00
     22    6.79      8.59     10.25      6.79      8.73*    58.86      0.00
     23    4.99*     7.20      6.79      7.48      1.80     71.75      0.00
     24    3.88      6.23      5.54*     4.71      2.22     77.42      0.00
     25    2.35      5.82*     7.62      7.06      4.02     73.13      0.00


   (*)  Correct Response

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