American Mathematics Competitions
2003 AMC 10 A Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 5013
Number of unofficial participants: 0
Average score of participants: 71.0
Average score for female students is: 68.5 ( 2281 Students)
Average score for male students is: 73.5 ( 2558 Students)
Average score for unspecified gender is 67.6 ( 174 Students)
Average score for grade 10 is: 72.3 ( 2654 Students)
Average score for grade 9 is: 69.6 ( 2073 Students)
Average score for grade 8 and below is: 70.5 ( 203 Students)
Average score with unknown grade: 65.6 ( 83 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 28
Number of schools returning results 139
Average school winning score 102.37
American Mathematics Competitions
2003 AMC 12 A Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 6771
Number of unofficial participants: 15
Average score of participants: 74.9
Average score for female students is: 71.4 ( 2839 Students)
Average score for male students is: 77.6 ( 3795 Students)
Average score for unspecified gender is 74.3 ( 137 Students)
Average score for grade 13 is: 74.2 ( 5 Students)
Average score for grade 12 is: 76.2 ( 2978 Students)
Average score for grade 11 is: 73.8 ( 3112 Students)
Average score for grade 10 is: 75.4 ( 520 Students)
Average score for grade 9 is: 71.1 ( 113 Students)
Average score for grade 8 and below is: 80.5 ( 4 Students)
Average score with unknown grade: 70.2 ( 39 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 501
Number of schools returning results 168
Average school winning score 105.21
Average school team score 293.22
American Mathematics Competitions
2003 AMC 10 B Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1015
Number of unofficial participants: 95
Average score of participants: 79.9
Average score for female students is: 76.6 ( 452 Students)
Average score for male students is: 83.3 ( 518 Students)
Average score for unspecified gender is 73.8 ( 45 Students)
Average score for grade 10 is: 82.5 ( 531 Students)
Average score for grade 9 is: 77.1 ( 448 Students)
Average score for grade 8 and below is: 77.8 ( 14 Students)
Average score with unknown grade: 73.3 ( 22 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 8
Number of schools returning results 41
Average school winning score 105.24
American Mathematics Competitions
2003 AMC 12 B Results for Ohio
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1948
Number of unofficial participants: 149
Average score of participants: 73.1
Average score for female students is: 70.2 ( 894 Students)
Average score for male students is: 75.9 ( 983 Students)
Average score for unspecified gender is 70.4 ( 71 Students)
Average score for grade 13 is: 90.0 ( 3 Students)
Average score for grade 12 is: 74.5 ( 819 Students)
Average score for grade 11 is: 72.0 ( 838 Students)
Average score for grade 10 is: 73.8 ( 191 Students)
Average score for grade 9 is: 68.3 ( 56 Students)
Average score for grade 8 and below is: 58.7 ( 5 Students)
Average score with unknown grade: 71.4 ( 36 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 105
Number of schools returning results 59
Average school winning score 104.46
Average school team score 292.11
2003 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 0 0 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 0 0 2 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 2 0 2 0
140.0 0 0 0 0
139.5 0 0 0 0
139.0 0 0 0 0
138.5 0 0 0 0
138.0 1 1 0 0
137.5 0 0 0 0
137.0 1 0 0 0
136.5 0 0 0 0
136.0 0 2 0 0
135.5 0 0 0 0
135.0 0 0 0 0
134.5 0 0 0 0
134.0 0 0 0 0
133.5 1 0 0 0
133.0 0 0 0 0
132.5 0 1 1 0
132.0 1 1 1 0
131.5 0 0 0 0
131.0 1 1 2 0
130.5 0 0 0 0
130.0 1 0 1 0
129.5 0 0 0 0
129.0 2 1 1 0
128.5 0 1 0 0
128.0 0 0 0 0
127.5 1 0 1 0
127.0 0 0 0 0
126.5 1 0 2 0
126.0 0 0 0 0
125.5 2 0 0 1
125.0 0 0 0 1
124.5 0 0 0 0
124.0 2 1 5 4
123.5 0 0 0 0
123.0 1 5 4 1
122.5 0 0 0 0
122.0 6 0 0 1
121.5 0 0 0 0
121.0 0 0 0 0
120.5 7 0 3 2
120.0 0 1 0 0
119.5 5 1 3 2
119.0 0 1 0 0
118.5 8 1 2 0
118.0 0 0 0 1
117.5 0 0 0 0
117.0 3 2 5 4
116.5 1 0 0 0
116.0 9 2 4 3
115.5 0 1 1 1
115.0 18 2 2 0
114.5 4 2 4 2
114.0 0 0 0 1
113.5 11 8 8 1
113.0 0 0 1 0
112.5 16 3 5 1
112.0 4 0 2 1
111.5 12 1 2 3
111.0 8 2 4 2
110.5 0 0 0 0
110.0 14 1 11 2
109.5 0 1 2 1
109.0 23 6 11 3
108.5 3 2 4 1
108.0 26 3 6 1
107.5 12 3 7 3
107.0 1 0 0 2
106.5 30 4 13 2
106.0 6 0 3 2
105.5 28 6 12 2
105.0 11 2 9 3
104.5 11 2 6 3
104.0 20 3 19 7
103.5 1 0 1 3
103.0 48 12 13 4
102.5 6 1 3 0
102.0 52 9 9 9
101.5 14 1 14 3
101.0 18 3 3 8
100.5 37 5 21 6
100.0 2 0 3 3
99.5 43 8 18 11
99.0 7 2 10 4
98.5 47 10 14 7
98.0 26 9 18 6
97.5 8 2 6 2
97.0 52 12 27 9
96.5 6 2 8 3
96.0 78 13 27 11
95.5 29 3 18 7
95.0 81 12 15 7
94.5 26 8 33 4
94.0 19 4 3 5
93.5 64 10 30 12
93.0 22 5 11 0
92.5 81 15 28 12
92.0 33 9 17 6
91.5 36 15 13 12
91.0 57 16 38 14
90.5 17 1 12 8
90.0 88 20 42 13
89.5 18 6 21 4
89.0 99 30 31 23
88.5 44 8 34 8
88.0 31 8 25 17
87.5 85 21 47 17
87.0 23 6 13 8
86.5 90 24 48 14
86.0 26 5 26 2
85.5 55 15 39 19
85.0 50 10 46 9
84.5 33 12 29 17
84.0 97 30 55 8
83.5 31 9 22 12
83.0 160 31 50 25
82.5 44 6 40 7
82.0 67 21 50 19
81.5 85 19 66 13
81.0 33 11 34 11
80.5 128 25 61 15
80.0 39 16 55 14
79.5 72 25 45 14
79.0 62 17 44 8
78.5 77 18 34 17
78.0 94 32 79 6
77.5 48 20 40 13
77.0 163 44 78 21
76.5 50 12 42 10
76.0 88 33 65 15
75.5 73 12 67 12
75.0 51 19 46 15
74.5 119 26 72 8
74.0 58 19 31 12
73.5 82 39 69 15
73.0 63 16 44 17
72.5 78 32 50 17
72.0 98 20 99 14
71.5 79 20 49 8
71.0 125 42 75 12
70.5 63 16 58 7
70.0 92 38 66 12
69.5 62 24 62 10
69.0 56 31 55 13
68.5 83 33 73 7
68.0 56 25 47 9
67.5 87 28 73 10
67.0 68 20 67 8
66.5 71 40 72 9
66.0 96 24 77 4
65.5 74 32 45 7
65.0 99 59 79 13
64.5 54 19 61 9
64.0 81 26 73 7
63.5 71 23 46 5
63.0 67 16 54 4
62.5 86 33 102 12
62.0 58 14 36 4
61.5 61 21 61 3
61.0 71 11 56 8
60.5 65 16 48 5
60.0 79 22 59 4
59.5 42 11 43 4
59.0 49 24 53 5
58.5 44 11 55 4
58.0 38 9 30 1
57.5 34 12 43 6
57.0 29 7 43 5
56.5 42 20 45 2
56.0 28 7 26 7
55.5 46 13 38 4
55.0 34 11 41 1
54.5 36 5 40 4
54.0 52 13 63 4
53.5 40 9 35 1
53.0 39 15 32 1
52.5 30 11 15 6
52.0 23 5 28 1
51.5 23 9 34 3
51.0 20 7 28 1
50.5 31 8 37 2
50.0 29 5 20 0
49.5 17 4 22 3
49.0 24 7 23 1
48.5 18 3 17 0
48.0 45 13 47 2
47.5 12 4 15 0
47.0 10 5 22 1
46.5 20 4 14 1
46.0 13 2 14 3
45.5 12 3 18 0
45.0 9 2 8 3
44.5 20 3 17 0
44.0 4 4 9 1
43.5 9 6 12 0
43.0 10 4 11 1
42.5 9 3 9 1
42.0 24 8 27 3
41.5 11 3 11 0
41.0 9 0 9 0
40.5 8 3 9 0
40.0 7 1 9 2
39.5 6 2 9 1
39.0 13 3 4 2
38.5 4 0 5 1
38.0 10 2 6 1
37.5 4 2 8 0
37.0 6 0 4 0
36.5 6 1 5 1
36.0 20 10 18 1
35.5 5 2 4 0
35.0 2 3 3 1
34.5 4 1 6 0
34.0 3 0 6 0
33.5 1 0 1 0
33.0 4 3 2 0
32.5 4 2 2 0
32.0 2 0 1 0
31.5 1 1 0 0
31.0 1 1 0 1
30.5 3 1 2 0
30.0 14 0 15 1
29.5 3 0 1 0
29.0 2 0 3 0
28.5 2 0 1 0
28.0 1 0 3 0
27.5 0 0 0 0
27.0 2 0 0 0
26.5 3 0 3 1
26.0 0 0 0 0
25.5 0 0 1 0
25.0 0 0 0 0
24.5 0 0 2 0
24.0 5 4 3 1
23.5 0 0 0 0
23.0 1 0 0 0
22.5 0 0 0 0
22.0 1 0 0 0
21.5 0 0 0 0
21.0 0 0 0 0
20.5 1 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 4 3 3 0
17.5 0 0 0 0
17.0 0 0 1 0
16.5 0 0 0 0
16.0 0 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 1 0 0
13.0 0 0 0 0
12.5 0 0 0 0
12.0 1 1 1 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 1 0
7.0 0 0 0 0
6.5 0 0 0 0
6.0 2 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 Ohio
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 2 1
149.5 0 0 124.5 0 0 99.5 14 4
149.0 0 0 124.0 5 0 99.0 8 2
148.5 0 0 123.5 0 0 98.5 8 6
148.0 0 0 123.0 3 1 98.0 11 3
147.5 0 0 122.5 0 0 97.5 3 3
147.0 0 0 122.0 0 0 97.0 19 7
146.5 0 0 121.5 0 0 96.5 6 1
146.0 0 0 121.0 0 0 96.0 13 14
145.5 0 0 120.5 3 0 95.5 10 8
145.0 0 0 120.0 0 0 95.0 12 3
144.5 0 0 119.5 2 1 94.5 24 9
144.0 2 0 119.0 0 0 94.0 1 2
143.5 0 0 118.5 0 2 93.5 18 12
143.0 0 0 118.0 0 0 93.0 9 0
142.5 0 0 117.5 0 0 92.5 18 7
142.0 0 0 117.0 4 1 92.0 12 5
141.5 0 0 116.5 0 0 91.5 4 9
141.0 0 0 116.0 2 2 91.0 21 17
140.5 1 0 115.5 1 0 90.5 9 2
140.0 0 0 115.0 1 1 90.0 27 14
139.5 0 0 114.5 3 1 89.5 16 4
139.0 0 0 114.0 0 0 89.0 17 14
138.5 0 0 113.5 5 2 88.5 21 13
138.0 0 0 113.0 1 0 88.0 14 11
137.5 0 0 112.5 4 1 87.5 28 17
137.0 0 0 112.0 2 0 87.0 9 3
136.5 0 0 111.5 1 1 86.5 26 21
136.0 0 0 111.0 4 0 86.0 14 11
135.5 0 0 110.5 0 0 85.5 14 25
135.0 0 0 110.0 10 1 85.0 28 16
134.5 0 0 109.5 2 0 84.5 16 11
134.0 0 0 109.0 8 3 84.0 33 21
133.5 0 0 108.5 3 1 83.5 14 8
133.0 0 0 108.0 5 1 83.0 26 23
132.5 1 0 107.5 6 1 82.5 26 13
132.0 1 0 107.0 0 0 82.0 25 25
131.5 0 0 106.5 11 2 81.5 45 20
131.0 2 0 106.0 3 0 81.0 20 14
130.5 0 0 105.5 10 1 80.5 28 33
130.0 1 0 105.0 8 1 80.0 28 26
129.5 0 0 104.5 3 3 79.5 25 19
129.0 1 0 104.0 12 7 79.0 22 21
128.5 0 0 103.5 1 0 78.5 16 17
128.0 0 0 103.0 8 5 78.0 37 41
127.5 0 1 102.5 2 1 77.5 21 17
127.0 0 0 102.0 5 4 77.0 46 28
126.5 1 1 101.5 10 4 76.5 20 21
126.0 0 0 101.0 3 0 76.0 29 36
125.5 0 0 100.5 14 6 75.5 33 31
American Mathematics Competitions
2003 AMC 10 A Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 25 18 50.0 8 11 25.0 0 0
74.5 47 23 49.5 10 10 24.5 1 1
74.0 15 16 49.0 8 13 24.0 2 0
73.5 33 32 48.5 6 10 23.5 0 0
73.0 26 16 48.0 21 23 23.0 0 0
72.5 25 25 47.5 5 10 22.5 0 0
72.0 51 47 47.0 12 9 22.0 0 0
71.5 20 28 46.5 9 5 21.5 0 0
71.0 40 32 46.0 3 11 21.0 0 0
70.5 29 27 45.5 9 9 20.5 0 0
70.0 31 33 45.0 4 4 20.0 0 0
69.5 29 33 44.5 7 10 19.5 0 0
69.0 25 26 44.0 4 5 19.0 0 0
68.5 38 34 43.5 5 7 18.5 0 0
68.0 23 22 43.0 7 3 18.0 1 1
67.5 35 37 42.5 5 4 17.5 0 0
67.0 31 35 42.0 18 9 17.0 0 1
66.5 33 37 41.5 2 9 16.5 0 0
66.0 42 32 41.0 2 7 16.0 0 0
65.5 22 21 40.5 0 9 15.5 0 0
65.0 43 32 40.0 2 6 15.0 0 0
64.5 30 29 39.5 1 8 14.5 0 0
64.0 28 43 39.0 1 3 14.0 0 0
63.5 23 20 38.5 3 2 13.5 0 0
63.0 21 30 38.0 1 5 13.0 0 0
62.5 43 33 37.5 3 4 12.5 0 0
62.0 16 20 37.0 3 0 12.0 0 1
61.5 25 34 36.5 1 4 11.5 0 0
61.0 19 34 36.0 9 8 11.0 0 0
60.5 19 27 35.5 2 2 10.5 0 0
60.0 33 24 35.0 1 2 10.0 0 0
59.5 16 27 34.5 3 3 9.5 0 0
59.0 22 29 34.0 2 4 9.0 0 0
58.5 22 32 33.5 0 1 8.5 0 0
58.0 12 17 33.0 2 0 8.0 0 0
57.5 17 24 32.5 1 1 7.5 0 1
57.0 27 15 32.0 0 1 7.0 0 0
56.5 15 30 31.5 0 0 6.5 0 0
56.0 10 16 31.0 0 0 6.0 0 0
55.5 17 18 30.5 1 1 5.5 0 0
55.0 17 23 30.0 7 7 5.0 0 0
54.5 21 19 29.5 0 1 4.5 0 0
54.0 28 32 29.0 2 1 4.0 0 0
53.5 18 15 28.5 1 0 3.5 0 0
53.0 13 17 28.0 1 2 3.0 0 0
52.5 5 9 27.5 0 0 2.5 0 0
52.0 15 12 27.0 0 0 2.0 0 0
51.5 13 18 26.5 3 0 1.5 0 0
51.0 11 16 26.0 0 0 1.0 0 0
50.5 18 18 25.5 1 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Ohio
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 2 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 2 0 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 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 1
131.5 0 0 0 0 0 0 0
131.0 0 0 0 2 0 0 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 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 0 1 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 1 0 0 4 0
123.5 0 0 0 0 0 0 0
123.0 0 0 1 0 3 0 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0
121.5 0 0 0 0 0 0 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 1 2 0
120.0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 3 0
119.0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 2 0
118.0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 3 2 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 1 3 0 0
115.5 0 0 0 0 0 1 0
115.0 0 0 0 0 0 2 0
114.5 0 0 0 0 0 4 0
114.0 0 0 0 0 0 0 0
113.5 0 0 1 0 1 6 0
113.0 0 0 0 0 0 1 0
112.5 0 0 0 1 2 2 0
112.0 0 0 0 0 2 0 0
111.5 0 0 0 0 0 2 0
111.0 0 0 0 0 0 4 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 2 4 5 0
109.5 0 0 1 1 0 0 0
109.0 0 0 0 1 2 8 0
108.5 0 0 0 0 2 2 0
108.0 0 0 0 0 4 2 0
107.5 0 0 0 0 3 4 0
107.0 0 0 0 0 0 0 0
106.5 0 0 0 1 6 6 0
106.0 0 0 0 0 1 2 0
105.5 0 1 0 0 5 6 0
105.0 0 0 0 0 3 6 0
104.5 0 0 0 0 0 6 0
104.0 0 0 1 0 4 14 0
103.5 0 0 0 0 0 1 0
103.0 0 0 0 1 5 7 0
102.5 0 0 0 0 1 2 0
102.0 0 0 0 0 2 7 0
101.5 0 0 0 0 3 11 0
101.0 0 0 0 0 1 2 0
100.5 0 0 0 3 7 10 1
100.0 0 0 0 0 0 3 0
99.5 0 0 0 0 5 13 0
99.0 0 0 0 0 5 5 0
98.5 0 0 0 0 7 7 0
98.0 0 0 0 0 6 11 1
97.5 0 0 0 0 3 3 0
97.0 0 0 0 0 7 20 0
96.5 0 0 1 0 3 3 1
96.0 0 0 0 1 11 15 0
95.5 0 0 0 1 4 13 0
95.0 0 0 0 0 10 5 0
94.5 0 0 1 0 14 18 0
94.0 0 0 0 0 1 2 0
93.5 0 0 0 0 15 15 0
93.0 0 0 0 0 2 9 0
92.5 0 0 0 0 8 19 1
92.0 0 0 0 0 3 14 0
91.5 0 0 0 1 4 8 0
91.0 0 0 0 0 16 22 0
90.5 0 0 0 2 4 6 0
90.0 0 0 0 0 19 22 1
89.5 0 0 0 0 8 13 0
89.0 0 0 0 0 13 18 0
88.5 0 0 1 1 12 20 0
88.0 0 0 0 0 10 15 0
87.5 0 0 0 1 21 24 1
87.0 0 0 0 0 4 8 1
86.5 0 0 0 0 20 27 1
86.0 0 0 1 2 2 20 1
85.5 0 0 0 1 16 22 0
85.0 0 0 0 2 19 25 0
84.5 0 0 0 2 12 15 0
84.0 0 0 0 0 18 36 1
83.5 0 0 0 0 11 11 0
83.0 0 0 0 1 16 32 1
82.5 0 0 0 2 15 23 0
82.0 0 0 0 2 20 27 1
81.5 0 0 0 1 28 37 0
81.0 0 0 0 2 14 18 0
80.5 0 0 0 1 22 38 0
80.0 0 0 0 1 14 40 0
79.5 0 0 1 2 16 26 0
79.0 0 0 0 1 22 21 0
78.5 0 0 0 2 15 17 0
78.0 0 1 0 5 24 48 1
77.5 0 0 0 1 14 23 2
77.0 0 0 0 2 35 41 0
76.5 0 0 0 1 19 22 0
76.0 0 0 0 0 35 30 0
75.5 0 1 1 2 19 43 1
75.0 0 0 0 2 20 23 1
74.5 0 0 0 0 35 36 1
74.0 0 0 0 1 15 15 0
73.5 0 0 0 4 35 29 1
73.0 0 0 0 0 26 18 0
72.5 0 0 0 0 27 22 1
72.0 0 0 0 0 37 61 1
71.5 0 0 0 2 23 24 0
71.0 0 0 0 1 39 35 0
70.5 0 1 0 2 23 31 1
70.0 0 0 1 4 29 32 0
69.5 0 0 0 3 20 39 0
69.0 0 0 0 3 23 27 2
68.5 0 0 0 2 33 38 0
68.0 0 0 0 2 13 31 1
67.5 0 0 0 3 37 33 0
67.0 0 0 0 4 32 30 1
66.5 0 0 0 5 27 40 0
66.0 0 0 0 3 28 46 0
65.5 0 0 0 4 20 19 2
65.0 0 0 0 1 37 41 0
64.5 0 0 0 6 27 27 1
64.0 0 0 0 2 32 38 1
63.5 0 0 0 2 22 21 1
63.0 0 0 0 2 28 23 1
62.5 0 0 0 5 29 44 24
62.0 0 0 0 1 18 17 0
61.5 0 0 0 1 34 23 3
61.0 0 1 0 1 20 33 1
60.5 0 0 0 4 19 25 0
60.0 0 0 0 2 25 31 1
59.5 0 0 0 2 22 19 0
59.0 0 1 0 2 25 24 1
58.5 0 0 0 2 19 33 1
58.0 0 0 0 4 11 15 0
57.5 0 0 0 1 19 22 1
57.0 0 0 1 2 21 19 0
56.5 0 0 0 1 17 26 1
56.0 0 0 0 2 7 16 1
55.5 0 0 0 2 13 22 1
55.0 0 0 0 1 18 22 0
54.5 0 0 0 1 19 20 0
54.0 0 0 0 0 26 35 2
53.5 0 0 0 1 18 15 1
53.0 0 0 0 0 12 18 2
52.5 0 0 0 0 9 6 0
52.0 0 0 0 1 13 13 1
51.5 0 0 0 3 15 16 0
51.0 0 0 0 1 13 14 0
50.5 0 0 1 1 19 16 0
50.0 0 0 0 2 12 6 0
49.5 0 0 0 2 10 9 1
49.0 0 0 0 2 10 11 0
48.5 0 0 0 2 4 10 1
48.0 0 1 0 1 26 19 0
47.5 0 0 0 2 7 6 0
47.0 0 0 0 1 10 10 1
46.5 0 0 0 0 10 4 0
46.0 0 0 0 1 7 6 0
45.5 0 1 0 0 11 6 0
45.0 0 0 1 1 4 2 0
44.5 0 0 0 2 8 7 0
44.0 0 0 0 0 2 7 0
43.5 0 0 0 0 4 8 0
43.0 0 0 0 0 3 7 1
42.5 0 0 0 0 5 4 0
42.0 0 0 0 1 9 17 0
41.5 0 0 0 2 3 6 0
41.0 0 0 0 0 4 5 0
40.5 0 0 0 0 4 4 1
40.0 0 0 0 0 2 7 0
39.5 0 0 0 1 1 7 0
39.0 0 0 0 0 2 2 0
38.5 0 0 0 0 3 2 0
38.0 0 0 0 0 3 3 0
37.5 0 0 0 1 3 3 1
37.0 0 0 0 0 1 2 1
36.5 0 0 0 0 4 1 0
36.0 0 0 1 1 4 11 1
35.5 0 0 0 0 1 3 0
35.0 0 0 0 0 3 0 0
34.5 0 0 0 0 5 1 0
34.0 0 0 0 1 1 4 0
33.5 0 0 0 0 1 0 0
33.0 0 0 0 1 1 0 0
32.5 0 0 0 0 1 1 0
32.0 0 0 0 0 1 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 2 0 0
30.0 0 0 0 0 7 7 1
29.5 0 0 0 0 0 1 0
29.0 0 0 0 0 2 1 0
28.5 0 0 0 0 1 0 0
28.0 0 0 0 0 3 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 2 1 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 1 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 1 0 1 0
24.0 0 0 0 0 2 1 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 2 1 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 1 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 1 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 1 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 Ohio
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 0.57 2.46 0.81 3.46* 0.50 2.19 0.00
2 0.06 8.60* 0.17 0.84 0.02 0.32 0.00
3 0.50 2.35 0.45 3.46* 0.32 2.91 0.00
4 4.18* 0.19 0.30 3.14 0.09 2.10 0.00
5 0.75 4.72* 0.20 0.15 0.09 4.11 0.00
6 1.69 1.54 1.99* 0.62 0.82 3.34 0.00
7 1.33 1.55* 1.00 1.82 0.40 3.90 0.00
8 1.41 0.59 0.34 0.31 5.91* 1.44 0.00
9 1.23* 0.44 1.61 1.60 0.07 5.05 0.00
10 0.64 0.48 0.82 1.17 3.60* 3.28 0.00
11 0.30 0.15 0.21 0.20 5.74* 3.41 0.00
12 2.26* 2.74 0.20 1.07 0.69 3.03 0.00
13 5.00* 0.32 0.25 0.21 0.06 4.16 0.00
14 1.32* 0.96 0.37 0.70 0.87 5.77 0.00
15 0.71 1.54 3.85* 0.61 0.63 2.65 0.00
16 0.74 0.88 1.60* 0.19 0.56 6.02 0.00
17 0.38 0.57* 0.14 0.25 0.35 8.31 0.00
18 0.52 0.47* 0.16 0.57 0.79 7.49 0.00
19 0.22 0.22 0.29* 0.14 0.16 8.98 0.00
20 0.44 0.24 0.28 0.25 0.29* 8.50 0.00
21 0.62 0.51 1.02 1.88* 2.20 3.77 0.00
22 0.76 2.17* 0.44 0.19 0.08 6.36 0.00
23 0.24 0.25 0.54* 0.44 0.54 7.99 0.00
24 0.19 0.39 0.63 0.54 4.12* 4.12 0.00
25 0.17 0.34* 0.23 0.18 0.17 8.92 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 Ohio
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 2 0
149.5 0 0 124.5 0 0 99.5 34 8
149.0 0 0 124.0 2 0 99.0 5 2
148.5 0 0 123.5 0 0 98.5 34 13
148.0 0 0 123.0 1 0 98.0 20 6
147.5 0 0 122.5 0 0 97.5 3 5
147.0 0 0 122.0 6 0 97.0 37 15
146.5 0 0 121.5 0 0 96.5 6 0
146.0 0 0 121.0 0 0 96.0 54 22
145.5 0 0 120.5 7 0 95.5 17 10
145.0 0 0 120.0 0 0 95.0 48 29
144.5 0 0 119.5 5 0 94.5 23 2
144.0 0 0 119.0 0 0 94.0 8 11
143.5 0 0 118.5 6 2 93.5 41 21
143.0 0 0 118.0 0 0 93.0 14 7
142.5 0 0 117.5 0 0 92.5 53 28
142.0 0 0 117.0 3 0 92.0 18 14
141.5 0 0 116.5 1 0 91.5 25 11
141.0 0 0 116.0 9 0 91.0 38 19
140.5 2 0 115.5 0 0 90.5 13 4
140.0 0 0 115.0 12 6 90.0 60 26
139.5 0 0 114.5 2 2 89.5 14 4
139.0 0 0 114.0 0 0 89.0 67 31
138.5 0 0 113.5 10 1 88.5 28 15
138.0 1 0 113.0 0 0 88.0 17 14
137.5 0 0 112.5 15 1 87.5 52 29
137.0 1 0 112.0 2 2 87.0 10 12
136.5 0 0 111.5 11 1 86.5 50 38
136.0 0 0 111.0 7 0 86.0 21 5
135.5 0 0 110.5 0 0 85.5 30 24
135.0 0 0 110.0 13 1 85.0 23 27
134.5 0 0 109.5 0 0 84.5 21 12
134.0 0 0 109.0 18 5 84.0 63 33
133.5 1 0 108.5 3 0 83.5 16 15
133.0 0 0 108.0 17 7 83.0 98 58
132.5 0 0 107.5 10 1 82.5 29 13
132.0 0 1 107.0 1 0 82.0 34 33
131.5 0 0 106.5 22 8 81.5 55 26
131.0 1 0 106.0 5 1 81.0 17 16
130.5 0 0 105.5 17 8 80.5 77 50
130.0 1 0 105.0 8 3 80.0 22 15
129.5 0 0 104.5 7 4 79.5 40 30
129.0 2 0 104.0 15 5 79.0 36 25
128.5 0 0 103.5 1 0 78.5 40 35
128.0 0 0 103.0 42 6 78.0 67 26
127.5 1 0 102.5 5 0 77.5 25 22
127.0 0 0 102.0 42 9 77.0 107 52
126.5 0 1 101.5 14 0 76.5 26 23
126.0 0 0 101.0 13 5 76.0 43 45
125.5 2 0 100.5 26 11 75.5 42 27
American Mathematics Competitions
2003 AMC 12 A Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 27 22 50.0 16 12 25.0 0 0
74.5 66 50 49.5 7 10 24.5 0 0
74.0 27 30 49.0 10 12 24.0 3 2
73.5 35 46 48.5 12 6 23.5 0 0
73.0 46 17 48.0 21 23 23.0 0 1
72.5 32 44 47.5 4 8 22.5 0 0
72.0 55 43 47.0 3 7 22.0 1 0
71.5 29 48 46.5 9 11 21.5 0 0
71.0 65 56 46.0 7 6 21.0 0 0
70.5 28 33 45.5 5 6 20.5 1 0
70.0 46 46 45.0 5 4 20.0 0 0
69.5 28 33 44.5 6 14 19.5 0 0
69.0 27 28 44.0 2 2 19.0 0 0
68.5 39 43 43.5 3 6 18.5 0 0
68.0 28 26 43.0 4 6 18.0 3 1
67.5 38 46 42.5 4 4 17.5 0 0
67.0 28 36 42.0 11 12 17.0 0 0
66.5 35 35 41.5 5 6 16.5 0 0
66.0 55 40 41.0 3 6 16.0 0 0
65.5 39 33 40.5 3 5 15.5 0 0
65.0 39 60 40.0 4 3 15.0 0 0
64.5 32 19 39.5 1 5 14.5 0 0
64.0 37 42 39.0 5 7 14.0 0 0
63.5 37 34 38.5 1 3 13.5 0 0
63.0 30 35 38.0 6 4 13.0 0 0
62.5 44 42 37.5 1 3 12.5 0 0
62.0 25 32 37.0 4 2 12.0 1 0
61.5 22 38 36.5 3 3 11.5 0 0
61.0 37 32 36.0 11 9 11.0 0 0
60.5 22 42 35.5 3 2 10.5 0 0
60.0 40 38 35.0 1 1 10.0 0 0
59.5 17 24 34.5 2 2 9.5 0 0
59.0 29 19 34.0 1 2 9.0 0 0
58.5 25 19 33.5 0 1 8.5 0 0
58.0 17 20 33.0 3 1 8.0 0 0
57.5 13 20 32.5 3 1 7.5 0 0
57.0 10 17 32.0 1 1 7.0 0 0
56.5 21 20 31.5 0 0 6.5 0 0
56.0 15 12 31.0 1 0 6.0 0 2
55.5 15 30 30.5 2 1 5.5 0 0
55.0 15 17 30.0 8 6 5.0 0 0
54.5 15 19 29.5 0 3 4.5 0 0
54.0 33 19 29.0 2 0 4.0 0 0
53.5 20 20 28.5 1 1 3.5 0 0
53.0 18 21 28.0 0 1 3.0 0 0
52.5 17 12 27.5 0 0 2.5 0 0
52.0 13 10 27.0 1 1 2.0 0 0
51.5 10 12 26.5 3 0 1.5 0 0
51.0 10 9 26.0 0 0 1.0 0 0
50.5 14 16 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Ohio
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 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 1 1 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 0 1 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0 1 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 1 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 1 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 1 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 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 2 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 1 0 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 1 0 0 0
126.0 0 0 0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0 2 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 1 1 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 1 0 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 5 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 1 1 5 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 1 4 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 2 2 4 0 0
118.0 0 0 0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 0 3 0 0
116.5 0 0 0 0 0 0 0 1 0 0
116.0 0 0 0 0 0 1 2 6 0 0
115.5 0 0 0 0 0 0 0 0 0 0
115.0 0 0 0 0 0 1 10 7 0 0
114.5 0 0 0 0 1 1 1 1 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 5 6 0 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 1 7 8 0 0
112.0 0 0 0 0 0 0 2 2 0 0
111.5 0 0 0 0 0 1 4 7 0 0
111.0 0 0 0 0 0 0 3 5 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 5 9 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 2 11 10 0 0
108.5 0 0 0 0 0 1 1 1 0 0
108.0 0 0 0 0 0 0 5 21 0 0
107.5 0 0 0 0 0 1 4 7 0 0
107.0 0 0 0 0 0 0 1 0 0 0
106.5 0 0 0 1 1 1 12 15 0 0
106.0 0 0 0 0 0 2 2 2 0 0
105.5 0 0 0 0 0 1 13 14 0 0
105.0 0 0 0 0 0 1 5 5 0 0
104.5 0 0 0 0 0 0 2 9 0 0
104.0 0 0 0 0 1 1 9 9 0 0
103.5 0 0 0 0 0 0 0 1 0 0
103.0 0 0 0 0 1 4 21 22 0 0
102.5 0 0 0 0 0 0 5 1 0 0
102.0 0 0 0 0 0 4 17 31 0 0
101.5 0 0 0 0 0 1 4 9 0 0
101.0 0 0 0 0 0 1 6 11 0 0
100.5 0 0 0 0 0 2 12 22 0 1
100.0 0 0 0 0 1 0 0 1 0 0
99.5 0 0 0 0 1 0 18 24 0 0
99.0 0 0 0 0 1 1 2 3 0 0
98.5 0 0 0 0 0 1 23 23 0 0
98.0 0 0 0 0 0 3 14 9 0 0
97.5 0 0 0 0 0 0 1 7 0 0
97.0 0 0 0 0 0 1 16 35 0 0
96.5 0 0 0 0 0 0 3 3 0 0
96.0 0 0 0 0 0 2 35 40 1 0
95.5 0 0 0 0 0 1 14 13 0 1
95.0 0 0 0 0 0 7 32 41 0 1
94.5 0 0 0 0 0 1 10 14 0 1
94.0 0 0 0 0 0 2 10 7 0 0
93.5 0 0 0 0 1 3 33 27 0 0
93.0 0 0 0 1 0 1 10 9 0 1
92.5 0 0 0 0 0 7 38 36 0 0
92.0 0 0 0 0 0 0 19 14 0 0
91.5 0 0 0 0 0 4 18 14 0 0
91.0 0 0 0 0 0 3 21 33 0 0
90.5 0 0 0 0 0 2 5 10 0 0
90.0 0 0 0 0 0 7 40 41 0 0
89.5 0 0 0 0 0 2 8 8 0 0
89.0 0 0 0 0 1 10 40 48 0 0
88.5 0 0 0 0 1 0 18 24 1 0
88.0 0 0 0 0 1 3 9 18 0 0
87.5 0 0 0 0 0 6 38 40 0 1
87.0 0 0 0 0 0 2 9 12 0 0
86.5 0 0 0 0 2 10 47 31 0 0
86.0 0 0 0 0 0 0 14 12 0 0
85.5 0 0 0 0 2 5 29 18 0 1
85.0 0 0 0 0 1 2 27 20 0 0
84.5 0 0 0 0 0 5 7 21 0 0
84.0 0 0 0 0 1 6 38 50 0 2
83.5 0 0 0 0 0 2 17 12 0 0
83.0 0 0 0 0 1 14 66 79 0 0
82.5 0 0 0 0 1 1 20 22 0 0
82.0 0 0 0 0 2 6 34 25 0 0
81.5 0 0 0 0 2 6 37 40 0 0
81.0 0 0 0 0 3 1 13 16 0 0
80.5 0 0 0 0 1 12 52 63 0 0
80.0 0 0 0 0 0 3 17 19 0 0
79.5 0 0 0 0 3 8 38 23 0 0
79.0 0 0 0 0 2 4 22 34 0 0
78.5 0 0 0 0 6 9 35 27 0 0
78.0 0 0 0 0 0 5 42 46 1 0
77.5 0 0 0 0 1 5 25 15 0 2
77.0 0 0 0 0 3 19 76 65 0 0
76.5 0 0 0 0 0 4 21 24 0 1
76.0 0 0 0 0 2 8 39 39 0 0
75.5 0 0 0 0 2 7 33 31 0 0
75.0 0 0 0 0 1 4 23 22 0 1
74.5 0 0 0 0 2 12 57 47 0 1
74.0 0 0 0 0 1 7 33 17 0 0
73.5 0 0 0 0 1 8 38 35 0 0
73.0 0 0 0 0 0 3 31 29 0 0
72.5 0 0 0 0 1 8 39 30 0 0
72.0 0 0 0 0 1 11 38 47 0 1
71.5 0 0 0 0 3 8 41 26 0 1
71.0 0 0 0 0 2 22 58 43 0 0
70.5 0 0 0 0 1 5 33 24 0 0
70.0 0 0 0 0 2 4 50 36 0 0
69.5 0 0 0 0 1 7 31 23 0 0
69.0 0 0 0 0 1 7 25 22 0 1
68.5 0 0 0 0 2 12 43 25 0 1
68.0 0 0 0 0 0 4 24 27 0 1
67.5 0 0 0 0 2 10 35 40 0 0
67.0 0 0 0 0 2 8 32 26 0 0
66.5 0 0 0 0 2 9 29 30 0 1
66.0 0 0 0 0 3 6 47 39 0 1
65.5 0 0 0 1 2 4 34 31 0 2
65.0 0 0 0 0 1 9 50 39 0 0
64.5 0 0 0 0 1 6 24 20 0 3
64.0 0 0 0 0 2 5 43 30 0 1
63.5 0 0 0 0 1 6 29 35 0 0
63.0 0 0 0 0 1 5 32 29 0 0
62.5 0 0 0 0 2 5 43 35 0 1
62.0 0 0 0 0 2 3 32 21 0 0
61.5 0 0 0 0 3 2 25 30 0 1
61.0 0 0 0 0 1 8 34 27 0 1
60.5 0 0 0 0 0 7 31 26 1 0
60.0 0 0 0 0 3 6 28 42 0 0
59.5 0 0 0 0 0 1 25 16 0 0
59.0 0 0 0 0 1 4 20 23 0 1
58.5 0 0 0 0 0 1 22 21 0 0
58.0 0 0 0 0 1 2 20 15 0 0
57.5 0 0 0 0 1 0 18 14 0 1
57.0 0 0 0 1 0 0 16 12 0 0
56.5 0 0 0 0 0 2 22 18 0 0
56.0 0 0 0 0 0 4 11 12 0 1
55.5 0 0 0 0 1 4 23 18 0 0
55.0 0 0 0 0 0 3 17 14 0 0
54.5 0 0 0 0 0 2 17 16 0 1
54.0 0 0 0 0 2 6 21 22 0 1
53.5 0 0 0 0 1 1 23 15 0 0
53.0 0 0 0 0 1 2 22 14 0 0
52.5 0 0 0 0 0 1 14 15 0 0
52.0 0 0 0 0 0 1 12 9 0 1
51.5 0 0 0 0 2 1 9 11 0 0
51.0 0 0 0 0 1 1 12 6 0 0
50.5 0 0 0 0 1 2 14 13 0 1
50.0 0 0 0 0 0 1 21 6 0 1
49.5 0 0 0 0 2 2 3 10 0 0
49.0 0 0 0 0 0 0 10 13 0 1
48.5 0 0 0 0 0 1 13 4 0 0
48.0 0 0 0 0 1 1 19 23 1 0
47.5 0 0 0 0 1 0 6 5 0 0
47.0 0 0 0 0 0 0 8 2 0 0
46.5 0 0 0 0 0 1 11 8 0 0
46.0 0 0 0 0 0 2 10 1 0 0
45.5 0 0 0 0 0 0 7 5 0 0
45.0 0 0 0 0 0 0 7 2 0 0
44.5 0 0 0 0 0 1 10 9 0 0
44.0 0 0 0 0 0 0 1 3 0 0
43.5 0 0 0 0 0 0 7 2 0 0
43.0 0 0 0 0 0 0 6 4 0 0
42.5 0 0 0 0 1 0 6 2 0 0
42.0 0 0 0 0 0 1 15 8 0 0
41.5 0 0 0 0 0 0 6 5 0 0
41.0 0 0 0 0 0 0 6 3 0 0
40.5 0 0 0 0 0 0 7 1 0 0
40.0 0 0 0 0 0 0 3 4 0 0
39.5 0 0 0 0 1 0 1 4 0 0
39.0 0 0 0 0 0 0 7 6 0 0
38.5 0 0 0 0 0 0 3 1 0 0
38.0 0 0 0 0 0 0 6 4 0 0
37.5 0 0 0 0 0 1 0 3 0 0
37.0 0 0 0 0 0 0 1 5 0 0
36.5 0 0 0 0 0 2 3 1 0 0
36.0 0 0 0 0 1 0 8 11 0 0
35.5 0 0 0 0 0 0 3 2 0 0
35.0 0 0 0 0 0 0 1 1 0 0
34.5 0 0 0 0 0 0 2 2 0 0
34.0 0 0 0 0 0 0 2 1 0 0
33.5 0 0 0 0 0 0 1 0 0 0
33.0 0 0 0 0 0 0 2 2 0 0
32.5 0 0 0 0 0 0 2 2 0 0
32.0 0 0 0 0 0 0 2 0 0 0
31.5 0 0 0 0 0 0 0 1 0 0
31.0 0 0 0 0 0 0 1 0 0 0
30.5 0 0 0 0 1 0 1 1 0 0
30.0 0 0 0 0 0 2 6 6 0 0
29.5 0 0 0 0 0 0 1 2 0 0
29.0 0 0 0 0 0 0 1 1 0 0
28.5 0 0 0 0 0 0 0 2 0 0
28.0 0 0 0 0 0 0 1 0 0 0
27.5 0 0 0 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 1 1 0 0
26.5 0 0 0 0 0 0 2 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 1 1 3 0 0
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 1 0 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0 1 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 1 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 1 1 2 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 0 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 1 1 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 Ohio
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 0.42 1.57 0.62 5.13* 0.41 1.84 0.00
2 0.03 9.00* 0.10 0.59 0.02 0.26 0.00
3 0.35 2.49 0.26 5.06* 0.21 1.63 0.00
4 5.27* 0.10 0.17 3.15 0.06 1.25 0.00
5 0.24 0.08 0.12 0.16 7.34* 2.05 0.00
6 1.31 2.00 3.36* 0.42 0.56 2.35 0.00
7 1.70 1.86* 0.85 1.80 0.33 3.46 0.00
8 0.97 0.41 0.29 0.23 7.18* 0.91 0.00
9 0.31 0.73 1.40 2.65* 0.17 4.74 0.00
10 0.45 0.91 0.40 2.79* 0.15 5.29 0.00
11 0.68 0.62 1.10* 0.33 0.91 6.36 0.00
12 0.11 0.26 0.55 0.42 6.26* 2.40 0.00
13 0.43 0.45 0.69 1.19 4.30* 2.94 0.00
14 0.77 0.44 0.40 4.13* 1.13 3.12 0.00
15 0.26 0.26 0.60* 0.11 0.21 8.55 0.00
16 0.60 0.52 3.93* 0.33 0.77 3.85 0.00
17 0.72 0.69* 0.29 0.67 0.19 7.44 0.00
18 0.15 0.37* 0.17 0.14 0.20 8.97 0.00
19 0.61 0.50 0.91 1.04* 0.43 6.51 0.00
20 0.39* 0.27 0.54 1.04 0.20 7.56 0.00
21 0.79 0.34 0.24 0.58* 1.50 6.55 0.00
22 0.59 0.45 0.30* 0.66 0.22 7.78 0.00
23 0.21 0.23* 0.24 0.19 0.17 8.95 0.00
24 0.15 1.49* 0.65 0.15 0.16 7.40 0.00
25 0.58 0.32 0.16* 0.08 1.89 6.98 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 Ohio
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 2 1
149.5 0 0 124.5 0 0 99.5 7 3
149.0 0 0 124.0 3 1 99.0 4 0
148.5 0 0 123.5 0 0 98.5 7 0
148.0 0 0 123.0 1 0 98.0 3 3
147.5 0 0 122.5 0 0 97.5 1 1
147.0 0 0 122.0 1 0 97.0 7 2
146.5 0 0 121.5 0 0 96.5 2 1
146.0 0 0 121.0 0 0 96.0 6 5
145.5 0 0 120.5 2 0 95.5 3 3
145.0 0 0 120.0 0 0 95.0 6 1
144.5 0 0 119.5 0 2 94.5 1 3
144.0 0 0 119.0 0 0 94.0 5 0
143.5 0 0 118.5 0 0 93.5 10 2
143.0 0 0 118.0 1 0 93.0 0 0
142.5 0 0 117.5 0 0 92.5 8 4
142.0 0 0 117.0 4 0 92.0 3 3
141.5 0 0 116.5 0 0 91.5 6 6
141.0 0 0 116.0 2 0 91.0 8 5
140.5 0 0 115.5 1 0 90.5 6 2
140.0 0 0 115.0 0 0 90.0 7 6
139.5 0 0 114.5 2 0 89.5 3 1
139.0 0 0 114.0 1 0 89.0 12 8
138.5 0 0 113.5 1 0 88.5 6 2
138.0 0 0 113.0 0 0 88.0 7 10
137.5 0 0 112.5 1 0 87.5 7 9
137.0 0 0 112.0 0 0 87.0 4 4
136.5 0 0 111.5 2 1 86.5 6 6
136.0 0 0 111.0 2 0 86.0 1 1
135.5 0 0 110.5 0 0 85.5 14 4
135.0 0 0 110.0 2 0 85.0 5 4
134.5 0 0 109.5 1 0 84.5 11 6
134.0 0 0 109.0 2 1 84.0 6 2
133.5 0 0 108.5 1 0 83.5 7 5
133.0 0 0 108.0 1 0 83.0 15 10
132.5 0 0 107.5 2 1 82.5 6 1
132.0 0 0 107.0 0 1 82.0 5 12
131.5 0 0 106.5 1 1 81.5 4 9
131.0 0 0 106.0 1 1 81.0 10 1
130.5 0 0 105.5 2 0 80.5 9 6
130.0 0 0 105.0 2 1 80.0 7 6
129.5 0 0 104.5 3 0 79.5 5 8
129.0 0 0 104.0 4 3 79.0 5 3
128.5 0 0 103.5 2 1 78.5 7 9
128.0 0 0 103.0 2 2 78.0 4 2
127.5 0 0 102.5 0 0 77.5 5 8
127.0 0 0 102.0 6 3 77.0 13 7
126.5 0 0 101.5 3 0 76.5 7 3
126.0 0 0 101.0 4 4 76.0 5 10
125.5 1 0 100.5 3 3 75.5 7 5
American Mathematics Competitions
2003 AMC 10 B Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 6 50.0 0 0 25.0 0 0
74.5 4 4 49.5 0 2 24.5 0 0
74.0 5 6 49.0 1 0 24.0 0 1
73.5 2 13 48.5 0 0 23.5 0 0
73.0 10 7 48.0 0 1 23.0 0 0
72.5 8 9 47.5 0 0 22.5 0 0
72.0 6 6 47.0 1 0 22.0 0 0
71.5 3 4 46.5 0 1 21.5 0 0
71.0 4 7 46.0 2 1 21.0 0 0
70.5 3 4 45.5 0 0 20.5 0 0
70.0 3 8 45.0 0 2 20.0 0 0
69.5 2 8 44.5 0 0 19.5 0 0
69.0 8 5 44.0 0 1 19.0 0 0
68.5 1 6 43.5 0 0 18.5 0 0
68.0 2 6 43.0 0 1 18.0 0 0
67.5 4 6 42.5 1 0 17.5 0 0
67.0 5 2 42.0 2 1 17.0 0 0
66.5 4 5 41.5 0 0 16.5 0 0
66.0 1 3 41.0 0 0 16.0 0 0
65.5 2 4 40.5 0 0 15.5 0 0
65.0 2 10 40.0 1 1 15.0 0 0
64.5 5 4 39.5 0 1 14.5 0 0
64.0 2 5 39.0 1 0 14.0 0 0
63.5 2 3 38.5 1 0 13.5 0 0
63.0 2 2 38.0 1 0 13.0 0 0
62.5 2 3 37.5 0 0 12.5 0 0
62.0 1 3 37.0 0 0 12.0 0 0
61.5 2 1 36.5 1 0 11.5 0 0
61.0 1 7 36.0 0 1 11.0 0 0
60.5 1 4 35.5 0 0 10.5 0 0
60.0 2 2 35.0 1 0 10.0 0 0
59.5 1 3 34.5 0 0 9.5 0 0
59.0 2 3 34.0 0 0 9.0 0 0
58.5 1 3 33.5 0 0 8.5 0 0
58.0 1 0 33.0 0 0 8.0 0 0
57.5 2 3 32.5 0 0 7.5 0 0
57.0 2 3 32.0 0 0 7.0 0 0
56.5 1 1 31.5 0 0 6.5 0 0
56.0 1 5 31.0 1 0 6.0 0 0
55.5 1 3 30.5 0 0 5.5 0 0
55.0 0 1 30.0 1 0 5.0 0 0
54.5 2 2 29.5 0 0 4.5 0 0
54.0 3 1 29.0 0 0 4.0 0 0
53.5 1 0 28.5 0 0 3.5 0 0
53.0 0 1 28.0 0 0 3.0 0 0
52.5 2 2 27.5 0 0 2.5 0 0
52.0 0 1 27.0 0 0 2.0 0 0
51.5 2 1 26.5 0 1 1.5 0 0
51.0 1 0 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 Ohio
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 0 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 0 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 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 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 0 0 0 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 1 0
125.0 0 0 0 0 0 1 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 1 0 3 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 0 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 0 0 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 2 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 0 0 0 1 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 0 4 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 1 2 0
115.5 0 0 0 0 0 1 0
115.0 0 0 0 0 0 0 0
114.5 0 0 0 0 0 2 0
114.0 0 0 0 0 0 1 0
113.5 0 0 0 0 0 1 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 1 0
112.0 0 0 0 0 0 1 0
111.5 0 0 0 0 1 2 0
111.0 0 0 0 0 1 1 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 1 1 0
109.5 0 0 0 0 1 0 0
109.0 0 0 0 1 0 2 0
108.5 0 0 0 0 0 1 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 2 0
106.5 0 0 0 0 0 2 0
106.0 0 0 0 0 0 2 0
105.5 0 0 0 0 0 2 0
105.0 0 0 0 0 0 3 0
104.5 0 0 0 0 0 3 0
104.0 0 0 0 0 0 7 0
103.5 0 0 0 0 0 3 0
103.0 0 0 0 0 0 4 0
102.5 0 0 0 0 0 0 0
102.0 0 0 0 0 2 7 0
101.5 0 0 0 0 1 2 0
101.0 0 0 0 0 2 6 0
100.5 0 0 0 1 2 3 0
100.0 0 0 0 0 1 2 0
99.5 0 0 0 0 6 4 1
99.0 0 0 0 0 1 3 0
98.5 0 0 0 0 2 5 0
98.0 0 0 0 0 4 2 0
97.5 0 0 0 0 1 1 0
97.0 0 0 0 0 2 7 0
96.5 0 0 0 0 0 3 0
96.0 0 0 0 0 4 7 0
95.5 0 0 0 0 3 4 0
95.0 0 0 0 0 3 4 0
94.5 0 0 0 0 1 3 0
94.0 0 0 0 0 3 2 0
93.5 0 0 0 0 6 6 0
93.0 0 0 0 0 0 0 0
92.5 0 0 0 0 6 6 0
92.0 0 0 0 0 2 4 0
91.5 0 0 0 0 7 5 0
91.0 0 0 0 0 6 7 1
90.5 0 0 0 1 3 4 0
90.0 0 0 0 0 6 7 0
89.5 0 0 0 0 1 3 0
89.0 0 0 0 2 12 9 0
88.5 0 0 0 0 4 4 0
88.0 0 0 0 0 8 8 1
87.5 0 0 0 0 7 10 0
87.0 0 0 0 0 4 4 0
86.5 0 0 0 0 9 4 1
86.0 0 0 0 0 1 1 0
85.5 0 0 0 0 6 11 2
85.0 0 0 0 0 5 4 0
84.5 0 0 0 0 6 10 1
84.0 0 0 0 0 3 5 0
83.5 0 0 1 0 7 4 0
83.0 0 0 0 0 15 10 0
82.5 0 0 0 0 4 3 0
82.0 0 0 0 0 10 8 1
81.5 0 0 0 0 4 8 1
81.0 0 0 0 0 4 7 0
80.5 0 0 0 0 8 7 0
80.0 0 0 0 0 7 7 0
79.5 0 0 0 0 7 7 0
79.0 0 0 0 0 1 7 0
78.5 0 0 0 0 7 10 0
78.0 0 0 0 0 0 6 0
77.5 0 0 0 0 5 8 0
77.0 0 0 0 0 17 4 0
76.5 0 0 0 0 5 5 0
76.0 0 0 0 0 6 9 0
75.5 0 1 0 0 5 6 0
75.0 0 0 0 0 7 8 0
74.5 0 0 0 0 4 4 0
74.0 0 0 0 0 4 7 1
73.5 0 0 0 0 9 6 0
73.0 0 0 0 0 7 10 0
72.5 0 0 0 0 10 7 0
72.0 0 0 0 0 8 5 1
71.5 0 0 0 0 4 4 0
71.0 0 0 0 0 10 2 0
70.5 0 0 0 0 3 4 0
70.0 0 0 0 0 8 4 0
69.5 0 0 0 1 5 4 0
69.0 0 0 0 0 10 3 0
68.5 0 0 0 0 2 5 0
68.0 0 0 0 0 2 5 2
67.5 0 0 0 0 6 4 0
67.0 0 0 0 0 3 5 0
66.5 0 0 0 0 3 6 0
66.0 0 0 0 0 3 1 0
65.5 0 0 0 0 3 4 0
65.0 0 0 0 1 6 6 0
64.5 0 0 0 0 3 6 0
64.0 0 0 0 0 5 2 0
63.5 0 0 0 0 3 2 0
63.0 0 0 0 0 1 3 0
62.5 0 0 0 0 2 4 6
62.0 0 0 0 0 2 2 0
61.5 0 0 0 0 2 1 0
61.0 0 0 0 0 6 2 0
60.5 0 0 0 0 2 3 0
60.0 0 0 0 0 0 4 0
59.5 0 0 0 0 2 2 0
59.0 0 0 0 0 3 2 0
58.5 0 0 0 0 2 1 1
58.0 0 0 0 0 0 1 0
57.5 0 0 0 0 3 3 0
57.0 0 0 0 0 3 2 0
56.5 0 0 0 1 1 0 0
56.0 0 0 0 0 1 4 2
55.5 0 0 0 0 2 2 0
55.0 0 0 0 0 1 0 0
54.5 0 0 0 0 2 2 0
54.0 0 0 1 0 1 2 0
53.5 0 0 0 0 0 1 0
53.0 0 0 0 0 1 0 0
52.5 0 0 0 0 5 1 0
52.0 0 0 0 0 0 1 0
51.5 0 0 0 0 2 1 0
51.0 0 0 0 0 1 0 0
50.5 0 0 0 0 2 0 0
50.0 0 0 0 0 0 0 0
49.5 0 0 0 0 2 1 0
49.0 0 0 0 0 0 1 0
48.5 0 0 0 0 0 0 0
48.0 0 0 0 0 0 2 0
47.5 0 0 0 0 0 0 0
47.0 0 0 1 0 0 0 0
46.5 0 0 0 0 1 0 0
46.0 0 0 0 0 1 2 0
45.5 0 0 0 0 0 0 0
45.0 0 0 0 0 3 0 0
44.5 0 0 0 0 0 0 0
44.0 0 0 0 0 0 1 0
43.5 0 0 0 0 0 0 0
43.0 0 0 0 0 0 1 0
42.5 0 0 0 0 0 1 0
42.0 0 0 0 0 1 2 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 0 0
40.0 0 0 0 0 2 0 0
39.5 0 0 0 0 1 0 0
39.0 0 0 0 0 2 0 0
38.5 0 0 0 0 0 1 0
38.0 0 0 0 0 1 0 0
37.5 0 0 0 0 0 0 0
37.0 0 0 0 0 0 0 0
36.5 0 0 1 0 0 0 0
36.0 0 0 0 0 0 1 0
35.5 0 0 0 0 0 0 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 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 1 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 0 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 1 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 1 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 Ohio
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 0.13 9.56* 0.11 0.03 0.17 0.00
2 0.01 0.09 0.88 8.24* 0.31 0.48 0.00
3 0.40 6.82* 0.56 0.57 0.08 1.57 0.00
4 8.37* 0.15 0.27 0.09 0.14 0.99 0.00
5 0.30 0.35 3.84* 0.63 0.96 3.92 0.00
6 1.03 1.51 0.36 3.31* 0.39 3.39 0.00
7 0.40 4.66* 0.22 0.56 0.30 3.86 0.00
8 0.18 0.83* 0.39 0.51 0.38 7.70 0.00
9 0.21 2.27* 0.26 0.27 0.24 6.77 0.00
10 0.14 0.24 2.74* 1.09 0.44 5.35 0.00
11 4.79* 0.45 0.28 0.18 0.83 3.48 0.00
12 0.47 0.43 5.74* 0.20 0.31 2.85 0.00
13 1.98 0.38 0.27 0.64 0.92* 5.80 0.01
14 0.82 0.26 0.11 3.01* 0.12 5.68 0.00
15 1.30 1.68 0.30 0.65 3.44* 2.63 0.00
16 0.23 0.25 0.38 0.48 4.48* 4.18 0.00
17 0.15 1.21* 0.61 0.23 0.13 7.67 0.00
18 0.28 1.26 0.23 1.43* 1.59 5.22 0.00
19 0.16 0.16 0.29 0.41 0.28* 8.71 0.00
20 0.23 0.24 0.43 1.50* 1.03 6.57 0.00
21 1.57 0.23 0.39* 1.05 0.40 6.35 0.00
22 1.65 2.45* 1.58 0.46 0.30 3.57 0.00
23 0.30 0.33 0.18 0.95* 0.33 7.92 0.00
24 0.07 0.08 1.41 0.08 0.04* 8.33 0.00
25 0.86 2.41* 0.81 0.29 0.18 5.46 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 Ohio
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 0
149.5 0 0 124.5 0 0 99.5 6 2
149.0 0 0 124.0 1 0 99.0 2 0
148.5 0 0 123.5 0 0 98.5 7 2
148.0 0 0 123.0 4 0 98.0 5 4
147.5 0 0 122.5 0 0 97.5 1 1
147.0 0 0 122.0 0 0 97.0 7 5
146.5 0 0 121.5 0 0 96.5 2 0
146.0 0 0 121.0 0 0 96.0 9 3
145.5 0 0 120.5 0 0 95.5 2 1
145.0 0 0 120.0 1 0 95.0 8 4
144.5 0 0 119.5 1 0 94.5 6 2
144.0 0 0 119.0 1 0 94.0 2 2
143.5 0 0 118.5 1 0 93.5 9 1
143.0 0 0 118.0 0 0 93.0 5 0
142.5 0 0 117.5 0 0 92.5 5 9
142.0 0 0 117.0 2 0 92.0 6 3
141.5 0 0 116.5 0 0 91.5 9 6
141.0 0 0 116.0 2 0 91.0 9 6
140.5 0 0 115.5 1 0 90.5 1 0
140.0 0 0 115.0 2 0 90.0 15 5
139.5 0 0 114.5 2 0 89.5 4 2
139.0 0 0 114.0 0 0 89.0 20 10
138.5 0 0 113.5 8 0 88.5 6 2
138.0 1 0 113.0 0 0 88.0 6 2
137.5 0 0 112.5 3 0 87.5 18 3
137.0 0 0 112.0 0 0 87.0 4 2
136.5 0 0 111.5 0 1 86.5 11 11
136.0 1 1 111.0 2 0 86.0 4 1
135.5 0 0 110.5 0 0 85.5 8 6
135.0 0 0 110.0 1 0 85.0 7 3
134.5 0 0 109.5 1 0 84.5 7 5
134.0 0 0 109.0 5 0 84.0 14 16
133.5 0 0 108.5 2 0 83.5 6 3
133.0 0 0 108.0 1 2 83.0 16 15
132.5 1 0 107.5 2 1 82.5 4 1
132.0 1 0 107.0 0 0 82.0 8 13
131.5 0 0 106.5 3 0 81.5 13 6
131.0 1 0 106.0 0 0 81.0 4 7
130.5 0 0 105.5 4 1 80.5 10 13
130.0 0 0 105.0 2 0 80.0 7 9
129.5 0 0 104.5 2 0 79.5 15 9
129.0 1 0 104.0 2 1 79.0 11 5
128.5 1 0 103.5 0 0 78.5 9 8
128.0 0 0 103.0 6 5 78.0 17 14
127.5 0 0 102.5 1 0 77.5 5 15
127.0 0 0 102.0 5 3 77.0 26 18
126.5 0 0 101.5 0 1 76.5 6 6
126.0 0 0 101.0 2 1 76.0 13 19
125.5 0 0 100.5 3 1 75.5 7 5
American Mathematics Competitions
2003 AMC 12 B Results for Ohio
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 11 50.0 3 2 25.0 0 0
74.5 14 12 49.5 2 0 24.5 0 0
74.0 9 10 49.0 3 3 24.0 4 0
73.5 20 18 48.5 2 1 23.5 0 0
73.0 10 6 48.0 8 4 23.0 0 0
72.5 16 15 47.5 1 3 22.5 0 0
72.0 8 11 47.0 3 1 22.0 0 0
71.5 10 10 46.5 1 3 21.5 0 0
71.0 12 27 46.0 2 0 21.0 0 0
70.5 8 8 45.5 1 2 20.5 0 0
70.0 19 19 45.0 1 1 20.0 0 0
69.5 14 10 44.5 1 2 19.5 0 0
69.0 11 20 44.0 0 4 19.0 0 0
68.5 17 15 43.5 3 3 18.5 0 0
68.0 13 12 43.0 4 0 18.0 3 0
67.5 16 12 42.5 1 2 17.5 0 0
67.0 7 13 42.0 4 3 17.0 0 0
66.5 14 26 41.5 0 3 16.5 0 0
66.0 13 9 41.0 0 0 16.0 0 0
65.5 10 21 40.5 0 3 15.5 0 0
65.0 25 33 40.0 1 0 15.0 0 0
64.5 9 9 39.5 1 1 14.5 0 0
64.0 12 12 39.0 2 1 14.0 0 0
63.5 12 8 38.5 0 0 13.5 1 0
63.0 5 10 38.0 0 2 13.0 0 0
62.5 12 12 37.5 1 1 12.5 0 0
62.0 9 5 37.0 0 0 12.0 1 0
61.5 5 13 36.5 0 1 11.5 0 0
61.0 4 7 36.0 4 6 11.0 0 0
60.5 6 10 35.5 0 2 10.5 0 0
60.0 6 14 35.0 1 2 10.0 0 0
59.5 7 4 34.5 0 1 9.5 0 0
59.0 13 8 34.0 0 0 9.0 0 0
58.5 4 7 33.5 0 0 8.5 0 0
58.0 4 4 33.0 1 2 8.0 0 0
57.5 6 5 32.5 2 0 7.5 0 0
57.0 1 6 32.0 0 0 7.0 0 0
56.5 4 14 31.5 1 0 6.5 0 0
56.0 4 3 31.0 1 0 6.0 0 0
55.5 5 8 30.5 0 1 5.5 0 0
55.0 3 7 30.0 0 0 5.0 0 0
54.5 2 3 29.5 0 0 4.5 0 0
54.0 6 6 29.0 0 0 4.0 0 0
53.5 4 5 28.5 0 0 3.5 0 0
53.0 6 8 28.0 0 0 3.0 0 0
52.5 4 7 27.5 0 0 2.5 0 0
52.0 2 3 27.0 0 0 2.0 0 0
51.5 4 5 26.5 0 0 1.5 0 0
51.0 2 5 26.0 0 0 1.0 0 0
50.5 2 5 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Ohio
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 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 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 0 1 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 1 1 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 1 0 0 0 0
132.0 0 0 0 0 0 0 1 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0 1 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 1 0 0
128.5 0 0 0 0 0 0 0 1 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0 0 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 0 0 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 1 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 1 3 0 1
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 0 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 0 0 0 0
120.0 0 0 0 0 0 0 1 0 0 0
119.5 0 0 0 0 0 1 0 0 0 0
119.0 0 0 0 0 0 0 0 1 0 0
118.5 0 0 0 0 0 0 0 1 0 0
118.0 0 0 0 0 0 0 0 0 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 1 1 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 0 2 0 0
115.5 0 0 0 0 0 1 0 0 0 0
115.0 0 0 0 0 0 0 1 1 0 0
114.5 0 0 0 0 0 1 0 1 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 1 2 5 0 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 2 1 0 0
112.0 0 0 0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 0 1 0 0
111.0 0 0 0 0 0 0 0 2 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 1 0 0 0
109.5 0 0 0 0 0 0 0 1 0 0
109.0 0 0 0 0 0 0 2 3 0 1
108.5 0 0 0 0 0 0 0 1 1 0
108.0 0 0 0 0 0 0 1 2 0 0
107.5 0 0 0 0 0 1 2 0 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 0 0 4 0 0
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 1 2 3 0 0
105.0 0 0 0 0 0 0 1 1 0 0
104.5 0 0 0 0 0 1 0 1 0 0
104.0 0 0 0 0 0 1 1 1 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 2 4 5 0 1
102.5 0 0 0 0 0 1 0 0 0 0
102.0 0 0 0 0 0 0 7 1 0 1
101.5 0 0 0 0 0 0 1 0 0 0
101.0 0 0 0 0 0 0 1 2 0 0
100.5 0 0 0 0 0 1 2 1 0 1
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 0 2 6 0