American Mathematics Competitions
2003 AMC 10 A Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2213
Number of unofficial participants: 45
Average score of participants: 70.6
Average score for female students is: 68.2 ( 969 Students)
Average score for male students is: 72.1 ( 1107 Students)
Average score for unspecified gender is 75.3 ( 137 Students)
Average score for grade 10 is: 71.8 ( 1266 Students)
Average score for grade 9 is: 68.0 ( 852 Students)
Average score for grade 8 and below is: 79.6 ( 27 Students)
Average score with unknown grade: 75.4 ( 68 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 18
Number of schools returning results 81
Average school winning score 101.73
American Mathematics Competitions
2003 AMC 12 A Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3714
Number of unofficial participants: 55
Average score of participants: 75.2
Average score for female students is: 71.7 ( 1538 Students)
Average score for male students is: 77.8 ( 2042 Students)
Average score for unspecified gender is 74.6 ( 134 Students)
Average score for grade 12 is: 77.6 ( 1443 Students)
Average score for grade 11 is: 73.1 ( 1774 Students)
Average score for grade 10 is: 75.7 ( 341 Students)
Average score for grade 9 is: 74.9 ( 99 Students)
Average score with unknown grade: 76.0 ( 57 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 292
Number of schools returning results 99
Average school winning score 107.92
Average school team score 302.38
American Mathematics Competitions
2003 AMC 10 B Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 648
Number of unofficial participants: 0
Average score of participants: 79.7
Average score for female students is: 76.8 ( 284 Students)
Average score for male students is: 83.3 ( 289 Students)
Average score for unspecified gender is 76.5 ( 75 Students)
Average score for grade 10 is: 81.2 ( 279 Students)
Average score for grade 9 is: 78.7 ( 298 Students)
Average score for grade 8 and below is: 83.3 ( 21 Students)
Average score with unknown grade: 75.9 ( 50 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 4
Number of schools returning results 24
Average school winning score 109.35
American Mathematics Competitions
2003 AMC 12 B Results for Minnesota
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1057
Number of unofficial participants: 0
Average score of participants: 73.8
Average score for female students is: 69.4 ( 431 Students)
Average score for male students is: 77.6 ( 566 Students)
Average score for unspecified gender is 70.5 ( 60 Students)
Average score for grade 13 is: 49.0 ( 1 Student)
Average score for grade 12 is: 77.5 ( 378 Students)
Average score for grade 11 is: 70.9 ( 553 Students)
Average score for grade 10 is: 83.5 ( 57 Students)
Average score for grade 9 is: 71.4 ( 35 Students)
Average score with unknown grade: 68.6 ( 33 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 70
Number of schools returning results 34
Average school winning score 109.00
Average school team score 303.07
2003 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 0 0 1
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 1 1 1
146.0 0 0 0 0
145.5 0 0 0 0
145.0 0 0 0 0
144.5 0 0 0 0
144.0 2 3 0 0
143.5 0 0 0 0
143.0 0 0 0 0
142.5 0 0 0 0
142.0 0 0 0 0
141.5 0 0 0 0
141.0 0 0 0 0
140.5 0 0 0 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 5 1 0 0
137.5 0 0 0 0
137.0 1 1 0 0
136.5 0 0 0 0
136.0 1 0 0 0
135.5 0 0 0 0
135.0 0 0 0 0
134.5 1 0 0 0
134.0 0 0 0 0
133.5 1 0 1 1
133.0 0 0 0 0
132.5 1 0 1 0
132.0 1 0 0 0
131.5 0 0 0 0
131.0 0 0 0 0
130.5 0 0 0 0
130.0 1 0 1 0
129.5 0 0 0 0
129.0 3 0 0 0
128.5 0 1 0 0
128.0 0 0 0 0
127.5 0 1 0 0
127.0 0 0 0 0
126.5 3 0 0 1
126.0 1 2 0 0
125.5 1 0 2 0
125.0 0 0 1 0
124.5 0 0 0 0
124.0 2 0 1 0
123.5 0 0 0 0
123.0 2 2 0 0
122.5 3 0 0 0
122.0 2 1 0 0
121.5 1 2 2 0
121.0 0 0 0 0
120.5 3 1 4 1
120.0 0 0 0 0
119.5 3 3 4 1
119.0 2 0 0 0
118.5 2 2 0 0
118.0 1 0 1 1
117.5 0 0 0 0
117.0 3 0 1 3
116.5 0 0 0 0
116.0 9 2 2 0
115.5 1 1 0 0
115.0 4 5 1 2
114.5 5 1 1 2
114.0 0 1 0 1
113.5 6 4 3 2
113.0 0 0 0 0
112.5 12 1 4 2
112.0 1 0 1 1
111.5 2 0 1 0
111.0 7 1 4 1
110.5 0 0 0 0
110.0 11 2 4 2
109.5 0 0 0 1
109.0 8 3 3 2
108.5 6 3 3 4
108.0 7 0 1 0
107.5 10 2 7 3
107.0 1 1 0 1
106.5 17 5 3 2
106.0 1 1 2 0
105.5 15 4 0 3
105.0 5 0 3 3
104.5 6 0 0 1
104.0 17 3 8 3
103.5 3 0 0 0
103.0 14 1 9 4
102.5 5 0 1 0
102.0 24 2 5 2
101.5 15 1 6 4
101.0 10 1 1 3
100.5 19 4 9 5
100.0 2 0 1 3
99.5 28 6 6 5
99.0 7 2 3 2
98.5 16 5 11 6
98.0 16 3 12 8
97.5 6 2 3 2
97.0 20 8 8 5
96.5 3 1 1 4
96.0 33 8 11 10
95.5 17 4 9 1
95.0 23 7 5 2
94.5 21 5 9 9
94.0 11 2 4 5
93.5 36 6 10 12
93.0 6 0 5 3
92.5 33 8 15 8
92.0 12 6 11 4
91.5 14 2 3 3
91.0 34 4 23 8
90.5 9 2 2 4
90.0 44 5 14 8
89.5 12 1 6 2
89.0 63 12 16 9
88.5 28 3 16 5
88.0 25 4 5 5
87.5 44 9 19 7
87.0 6 0 8 4
86.5 62 23 20 19
86.0 18 2 10 4
85.5 30 9 22 8
85.0 34 13 13 12
84.5 28 8 6 7
84.0 46 12 31 7
83.5 25 3 6 9
83.0 78 21 33 11
82.5 16 8 18 6
82.0 33 11 18 8
81.5 34 14 22 5
81.0 27 11 3 4
80.5 53 19 36 12
80.0 26 8 16 3
79.5 57 17 22 4
79.0 35 7 16 8
78.5 45 11 19 3
78.0 73 20 42 10
77.5 28 10 20 4
77.0 84 13 38 8
76.5 32 4 21 5
76.0 45 11 29 5
75.5 39 13 30 7
75.0 59 9 20 9
74.5 51 17 42 9
74.0 38 9 30 3
73.5 59 25 30 16
73.0 38 8 22 8
72.5 63 17 27 12
72.0 46 16 35 8
71.5 48 15 19 10
71.0 44 24 33 8
70.5 28 11 22 6
70.0 45 13 36 7
69.5 38 19 23 5
69.0 49 10 23 5
68.5 37 18 26 8
68.0 43 15 34 5
67.5 41 19 28 5
67.0 43 11 23 4
66.5 45 10 26 9
66.0 45 11 34 10
65.5 39 10 24 4
65.0 43 14 31 5
64.5 35 8 24 1
64.0 37 14 26 6
63.5 30 6 17 7
63.0 37 11 26 3
62.5 36 20 33 12
62.0 26 11 30 6
61.5 25 8 32 0
61.0 28 7 17 4
60.5 38 8 24 2
60.0 40 12 30 11
59.5 26 6 18 2
59.0 42 13 24 4
58.5 22 7 16 3
58.0 31 11 14 5
57.5 16 6 22 3
57.0 21 7 21 2
56.5 21 9 13 1
56.0 23 3 14 3
55.5 17 4 20 1
55.0 20 7 14 1
54.5 14 1 11 0
54.0 20 9 20 4
53.5 14 7 13 2
53.0 17 4 7 1
52.5 12 3 9 0
52.0 20 6 14 2
51.5 12 6 13 2
51.0 19 4 19 0
50.5 20 4 13 0
50.0 7 4 9 1
49.5 11 4 19 1
49.0 8 4 12 2
48.5 10 3 8 2
48.0 22 5 22 2
47.5 11 6 11 1
47.0 16 3 7 2
46.5 10 6 9 0
46.0 9 0 8 1
45.5 6 2 4 1
45.0 5 1 4 0
44.5 6 2 13 2
44.0 5 2 6 0
43.5 7 2 2 0
43.0 8 2 3 0
42.5 4 2 4 2
42.0 14 5 16 0
41.5 4 0 2 0
41.0 4 2 3 2
40.5 4 0 5 1
40.0 2 0 1 0
39.5 1 0 2 0
39.0 2 2 1 1
38.5 4 2 4 0
38.0 3 3 3 1
37.5 5 1 4 0
37.0 2 0 4 1
36.5 2 1 0 0
36.0 11 9 11 2
35.5 6 0 2 0
35.0 2 0 0 0
34.5 1 1 2 0
34.0 3 1 2 0
33.5 1 0 0 0
33.0 0 1 3 0
32.5 1 0 0 0
32.0 1 0 1 0
31.5 1 0 1 0
31.0 0 0 0 0
30.5 1 0 1 0
30.0 5 3 9 0
29.5 1 0 1 0
29.0 1 0 2 0
28.5 0 0 0 0
28.0 1 0 0 0
27.5 0 0 0 0
27.0 3 0 3 0
26.5 1 0 2 0
26.0 0 0 0 0
25.5 1 0 0 0
25.0 0 0 0 0
24.5 0 0 1 0
24.0 6 2 7 1
23.5 1 0 1 0
23.0 1 0 1 0
22.5 0 0 0 0
22.0 0 0 0 0
21.5 0 0 0 0
21.0 0 0 1 0
20.5 1 0 1 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 0 2 1
17.5 0 0 0 0
17.0 0 0 0 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 1 0 0 0
14.0 0 0 0 0
13.5 0 0 0 0
13.0 0 0 0 0
12.5 0 0 0 0
12.0 1 0 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 0 0
7.0 0 0 0 0
6.5 0 0 0 0
6.0 0 0 1 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 Minnesota
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 1 0
149.5 0 0 124.5 0 0 99.5 4 2
149.0 0 0 124.0 1 0 99.0 3 0
148.5 0 0 123.5 0 0 98.5 6 4
148.0 0 0 123.0 0 0 98.0 7 3
147.5 0 0 122.5 0 0 97.5 2 1
147.0 0 0 122.0 0 0 97.0 2 4
146.5 1 0 121.5 2 0 96.5 1 0
146.0 0 0 121.0 0 0 96.0 4 5
145.5 0 0 120.5 4 0 95.5 3 3
145.0 0 0 120.0 0 0 95.0 2 3
144.5 0 0 119.5 2 0 94.5 5 4
144.0 0 0 119.0 0 0 94.0 2 2
143.5 0 0 118.5 0 0 93.5 4 5
143.0 0 0 118.0 1 0 93.0 4 0
142.5 0 0 117.5 0 0 92.5 10 3
142.0 0 0 117.0 1 0 92.0 8 3
141.5 0 0 116.5 0 0 91.5 2 1
141.0 0 0 116.0 2 0 91.0 14 8
140.5 0 0 115.5 0 0 90.5 1 1
140.0 0 0 115.0 1 0 90.0 8 4
139.5 0 0 114.5 1 0 89.5 2 3
139.0 0 0 114.0 0 0 89.0 7 7
138.5 0 0 113.5 3 0 88.5 8 6
138.0 0 0 113.0 0 0 88.0 4 1
137.5 0 0 112.5 3 0 87.5 10 5
137.0 0 0 112.0 0 1 87.0 3 3
136.5 0 0 111.5 1 0 86.5 8 10
136.0 0 0 111.0 4 0 86.0 8 1
135.5 0 0 110.5 0 0 85.5 14 7
135.0 0 0 110.0 3 0 85.0 8 5
134.5 0 0 109.5 0 0 84.5 3 3
134.0 0 0 109.0 2 1 84.0 22 8
133.5 1 0 108.5 2 0 83.5 3 3
133.0 0 0 108.0 1 0 83.0 14 16
132.5 1 0 107.5 5 1 82.5 9 8
132.0 0 0 107.0 0 0 82.0 8 10
131.5 0 0 106.5 1 2 81.5 14 7
131.0 0 0 106.0 1 0 81.0 2 1
130.5 0 0 105.5 0 0 80.5 15 20
130.0 1 0 105.0 3 0 80.0 12 4
129.5 0 0 104.5 0 0 79.5 14 7
129.0 0 0 104.0 5 2 79.0 12 2
128.5 0 0 103.5 0 0 78.5 9 6
128.0 0 0 103.0 8 1 78.0 27 14
127.5 0 0 102.5 1 0 77.5 6 12
127.0 0 0 102.0 2 2 77.0 25 11
126.5 0 0 101.5 6 0 76.5 9 10
126.0 0 0 101.0 0 1 76.0 14 15
125.5 2 0 100.5 4 2 75.5 19 11
American Mathematics Competitions
2003 AMC 10 A Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 12 50.0 4 5 25.0 0 0
74.5 19 20 49.5 6 12 24.5 0 1
74.0 9 19 49.0 3 8 24.0 4 3
73.5 9 19 48.5 1 6 23.5 0 1
73.0 13 8 48.0 12 9 23.0 1 0
72.5 8 19 47.5 5 5 22.5 0 0
72.0 15 14 47.0 4 3 22.0 0 0
71.5 9 10 46.5 4 4 21.5 0 0
71.0 14 18 46.0 5 3 21.0 1 0
70.5 11 10 45.5 3 1 20.5 1 0
70.0 14 21 45.0 3 1 20.0 0 0
69.5 9 12 44.5 7 6 19.5 0 0
69.0 10 11 44.0 5 1 19.0 0 0
68.5 15 10 43.5 0 2 18.5 0 0
68.0 14 16 43.0 2 0 18.0 1 1
67.5 14 12 42.5 3 1 17.5 0 0
67.0 7 11 42.0 14 1 17.0 0 0
66.5 9 16 41.5 0 2 16.5 0 0
66.0 21 11 41.0 2 1 16.0 0 0
65.5 11 12 40.5 4 1 15.5 0 0
65.0 14 17 40.0 1 0 15.0 0 0
64.5 12 11 39.5 1 1 14.5 0 0
64.0 8 17 39.0 1 0 14.0 0 0
63.5 7 9 38.5 2 2 13.5 0 0
63.0 12 14 38.0 1 2 13.0 0 0
62.5 17 15 37.5 3 0 12.5 0 0
62.0 15 14 37.0 1 3 12.0 1 0
61.5 14 16 36.5 0 0 11.5 0 0
61.0 5 11 36.0 7 4 11.0 0 0
60.5 13 10 35.5 2 0 10.5 0 0
60.0 17 13 35.0 0 0 10.0 0 0
59.5 9 9 34.5 1 1 9.5 0 0
59.0 10 13 34.0 1 0 9.0 0 0
58.5 9 6 33.5 0 0 8.5 0 0
58.0 5 9 33.0 1 2 8.0 0 0
57.5 10 12 32.5 0 0 7.5 0 0
57.0 9 12 32.0 1 0 7.0 0 0
56.5 7 5 31.5 0 1 6.5 0 0
56.0 4 9 31.0 0 0 6.0 0 1
55.5 6 14 30.5 0 1 5.5 0 0
55.0 5 8 30.0 8 1 5.0 0 0
54.5 7 4 29.5 0 1 4.5 0 0
54.0 11 8 29.0 0 1 4.0 0 0
53.5 4 6 28.5 0 0 3.5 0 0
53.0 2 4 28.0 0 0 3.0 0 0
52.5 2 5 27.5 0 0 2.5 0 0
52.0 6 6 27.0 2 1 2.0 0 0
51.5 7 6 26.5 0 2 1.5 0 0
51.0 5 13 26.0 0 0 1.0 0 0
50.5 8 5 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Minnesota
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 1 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 1 0
133.0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 1 0
132.0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 0 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 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 2 0
125.0 0 0 0 0 1 0 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 1 0 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0
122.5 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0
121.5 0 0 0 0 1 1 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 2 2 0
120.0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 2 2
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 1 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 2 0 0
115.5 0 0 0 0 0 0 0
115.0 0 0 0 0 0 1 0
114.5 0 0 1 0 0 0 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 1 2 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 4 0
112.0 0 0 0 0 1 0 0
111.5 0 0 0 0 0 1 0
111.0 0 0 0 0 1 3 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 1 2 1
109.5 0 0 0 0 0 0 0
109.0 0 0 0 0 2 1 0
108.5 0 0 0 0 0 3 0
108.0 0 0 0 1 0 0 0
107.5 0 0 0 0 2 4 1
107.0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 3 0
106.0 0 0 0 0 1 1 0
105.5 0 0 0 0 0 0 0
105.0 0 0 0 0 0 3 0
104.5 0 0 0 0 0 0 0
104.0 0 0 0 0 6 2 0
103.5 0 0 0 0 0 0 0
103.0 0 0 0 0 4 5 0
102.5 0 0 0 0 0 1 0
102.0 0 0 0 0 3 1 1
101.5 0 0 0 0 2 4 0
101.0 0 0 0 0 0 1 0
100.5 0 0 0 1 1 7 0
100.0 0 0 0 0 0 1 0
99.5 0 0 0 0 3 3 0
99.0 0 0 0 0 2 1 0
98.5 0 0 0 0 2 8 1
98.0 0 0 0 0 2 9 1
97.5 0 0 0 0 1 2 0
97.0 0 0 0 0 3 5 0
96.5 0 0 0 0 1 0 0
96.0 0 0 0 0 1 8 2
95.5 0 0 0 0 1 6 2
95.0 0 0 0 0 0 5 0
94.5 0 0 0 0 2 7 0
94.0 0 0 0 0 1 3 0
93.5 0 0 0 0 3 7 0
93.0 0 0 0 0 1 3 1
92.5 0 1 0 0 6 7 1
92.0 0 0 0 0 4 7 0
91.5 0 0 0 0 0 3 0
91.0 0 0 0 0 4 18 1
90.5 0 0 0 0 0 2 0
90.0 0 0 0 0 4 8 2
89.5 0 0 0 0 1 4 1
89.0 0 0 0 0 2 14 0
88.5 0 0 0 0 6 9 1
88.0 0 0 0 1 1 3 0
87.5 0 0 0 0 6 12 1
87.0 0 0 0 0 3 4 1
86.5 0 0 0 0 10 9 1
86.0 0 0 1 0 3 6 0
85.5 0 0 0 0 8 14 0
85.0 0 0 0 1 4 8 0
84.5 0 0 0 0 3 3 0
84.0 0 0 0 0 12 19 0
83.5 0 0 0 0 2 4 0
83.0 0 0 0 0 8 22 3
82.5 0 0 0 1 5 11 1
82.0 0 0 0 0 7 11 0
81.5 0 0 0 0 10 11 1
81.0 0 0 0 0 1 2 0
80.5 0 0 0 0 12 24 0
80.0 0 0 0 0 7 9 0
79.5 0 0 0 0 11 11 0
79.0 0 0 0 1 5 9 1
78.5 0 0 0 0 5 10 4
78.0 0 0 0 0 12 30 0
77.5 0 0 0 0 4 14 2
77.0 0 0 2 0 12 23 1
76.5 0 0 0 0 10 10 1
76.0 0 0 0 0 14 15 0
75.5 0 0 1 0 13 16 0
75.0 0 0 0 0 4 15 1
74.5 0 0 0 0 18 23 1
74.0 0 0 0 1 11 18 0
73.5 0 0 0 0 18 11 1
73.0 0 0 0 0 9 13 0
72.5 0 1 0 0 13 13 0
72.0 0 0 0 1 14 17 3
71.5 0 0 0 0 2 17 0
71.0 0 0 0 0 14 19 0
70.5 0 0 0 0 9 13 0
70.0 0 0 0 0 13 22 1
69.5 0 0 1 1 8 12 1
69.0 0 1 0 0 11 10 1
68.5 0 0 0 0 9 16 1
68.0 0 1 0 1 11 20 1
67.5 0 0 0 0 13 13 2
67.0 0 0 0 1 6 14 2
66.5 0 0 0 0 8 18 0
66.0 0 0 0 0 14 20 0
65.5 0 0 0 0 15 8 1
65.0 0 0 0 1 14 16 0
64.5 0 0 0 0 12 12 0
64.0 0 0 0 1 11 14 0
63.5 0 0 0 0 5 11 1
63.0 0 0 0 0 8 18 0
62.5 0 0 0 1 10 21 1
62.0 0 0 0 0 12 17 1
61.5 0 0 0 0 15 14 3
61.0 0 0 0 0 8 8 1
60.5 0 0 0 0 8 16 0
60.0 0 0 0 1 8 21 0
59.5 0 0 0 0 6 12 0
59.0 0 0 0 0 13 11 0
58.5 0 0 0 0 3 13 0
58.0 0 0 0 0 6 8 0
57.5 0 0 0 0 7 15 0
57.0 0 0 0 1 7 13 0
56.5 0 0 0 0 5 6 2
56.0 0 0 0 0 5 9 0
55.5 0 0 0 0 9 11 0
55.0 0 0 0 0 6 8 0
54.5 0 0 0 0 6 5 0
54.0 0 0 0 0 9 11 0
53.5 0 0 0 0 9 4 0
53.0 0 0 0 0 4 3 0
52.5 0 0 0 0 5 4 0
52.0 0 0 0 0 6 7 1
51.5 0 0 0 0 3 10 0
51.0 0 0 0 0 8 11 0
50.5 0 0 0 0 9 4 0
50.0 0 0 0 0 6 3 0
49.5 0 0 0 0 8 11 0
49.0 0 0 0 0 4 7 1
48.5 0 0 0 0 1 7 0
48.0 0 0 0 0 14 8 0
47.5 0 0 0 0 6 5 0
47.0 0 0 0 0 6 1 0
46.5 0 0 0 0 3 6 0
46.0 0 0 0 0 5 3 0
45.5 0 0 0 0 1 3 0
45.0 0 0 0 0 3 1 0
44.5 0 0 0 0 9 3 1
44.0 0 0 0 0 5 1 0
43.5 0 0 0 0 1 1 0
43.0 0 0 0 0 3 0 0
42.5 0 0 0 0 3 1 0
42.0 0 0 0 0 8 7 1
41.5 0 0 0 0 0 2 0
41.0 0 0 0 0 1 2 0
40.5 0 0 0 0 0 5 0
40.0 0 0 0 0 1 0 0
39.5 0 0 0 0 1 1 0
39.0 0 0 0 0 0 1 0
38.5 0 0 0 0 2 2 0
38.0 0 0 0 0 2 1 0
37.5 0 0 0 0 3 0 1
37.0 0 0 0 0 2 2 0
36.5 0 0 0 0 0 0 0
36.0 0 0 0 0 8 3 0
35.5 0 0 0 0 2 0 0
35.0 0 0 0 0 0 0 0
34.5 0 0 0 0 1 1 0
34.0 0 0 0 0 1 0 1
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 2 1 0
32.5 0 0 0 0 0 0 0
32.0 0 0 0 0 1 0 0
31.5 0 0 0 0 0 1 0
31.0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 1 0
30.0 0 0 0 0 5 4 0
29.5 0 0 0 0 0 1 0
29.0 0 0 0 0 0 0 2
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 3 0
26.5 0 0 0 0 0 2 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 1 0
24.0 0 0 0 0 4 3 0
23.5 0 0 0 0 1 0 0
23.0 0 0 0 0 0 1 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 1 0
20.5 0 0 0 0 0 1 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 1 1 0
17.5 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0
15.5 0 0 0 0 0 0 0
15.0 0 0 0 0 0 0 0
14.5 0 0 0 0 0 0 0
14.0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0
12.0 0 0 0 0 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 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 1 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 Minnesota
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 0.66 2.49 0.75 3.30* 0.55 2.26 0.00
2 0.02 8.67* 0.21 0.87 0.03 0.20 0.00
3 0.55 2.50 0.48 3.45* 0.38 2.63 0.01
4 4.63* 0.17 0.28 3.17 0.04 1.71 0.00
5 0.70 4.41* 0.19 0.17 0.06 4.46 0.00
6 1.80 1.50 1.65* 0.54 0.92 3.58 0.00
7 1.34 1.51* 0.94 1.68 0.39 4.13 0.00
8 1.87 0.69 0.28 0.28 5.43* 1.45 0.00
9 1.70* 0.44 1.75 1.33 0.10 4.68 0.00
10 0.63 0.61 0.70 1.07 3.78* 3.21 0.00
11 0.33 0.10 0.13 0.23 6.00* 3.21 0.00
12 2.21* 2.96 0.18 1.23 0.90 2.52 0.00
13 4.54* 0.32 0.30 0.20 0.05 4.60 0.00
14 1.16* 0.94 0.44 0.76 0.76 5.94 0.00
15 0.71 1.85 3.58* 0.65 0.61 2.60 0.00
16 0.56 0.67 1.38* 0.30 0.55 6.54 0.00
17 0.40 0.59* 0.20 0.27 0.39 8.16 0.00
18 0.44 0.52* 0.20 0.64 0.80 7.40 0.00
19 0.22 0.27 0.38* 0.15 0.21 8.76 0.00
20 0.54 0.25 0.32 0.27 0.30* 8.31 0.00
21 0.61 0.49 1.07 1.98* 2.31 3.54 0.00
22 0.76 2.56* 0.48 0.20 0.04 5.96 0.00
23 0.19 0.24 0.69* 0.50 0.61 7.77 0.00
24 0.21 0.36 0.57 0.58 4.18* 4.10 0.00
25 0.16 0.39* 0.23 0.17 0.18 8.87 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 Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 0 125.0 0 0 100.0 2 0
149.5 0 0 124.5 0 0 99.5 18 9
149.0 0 0 124.0 2 0 99.0 6 1
148.5 0 0 123.5 0 0 98.5 9 4
148.0 0 0 123.0 1 1 98.0 8 5
147.5 0 0 122.5 2 1 97.5 4 2
147.0 0 0 122.0 2 0 97.0 16 4
146.5 0 0 121.5 1 0 96.5 3 0
146.0 0 0 121.0 0 0 96.0 22 8
145.5 0 0 120.5 2 1 95.5 9 6
145.0 0 0 120.0 0 0 95.0 17 5
144.5 0 0 119.5 2 1 94.5 16 3
144.0 2 0 119.0 2 0 94.0 6 3
143.5 0 0 118.5 2 0 93.5 21 14
143.0 0 0 118.0 1 0 93.0 5 1
142.5 0 0 117.5 0 0 92.5 15 17
142.0 0 0 117.0 3 0 92.0 9 3
141.5 0 0 116.5 0 0 91.5 10 4
141.0 0 0 116.0 7 2 91.0 22 12
140.5 0 0 115.5 1 0 90.5 6 3
140.0 0 0 115.0 2 2 90.0 32 12
139.5 0 0 114.5 5 0 89.5 8 3
139.0 0 0 114.0 0 0 89.0 32 28
138.5 0 0 113.5 3 3 88.5 20 7
138.0 5 0 113.0 0 0 88.0 12 12
137.5 0 0 112.5 10 1 87.5 30 14
137.0 1 0 112.0 1 0 87.0 4 2
136.5 0 0 111.5 0 2 86.5 34 25
136.0 1 0 111.0 7 0 86.0 12 5
135.5 0 0 110.5 0 0 85.5 21 8
135.0 0 0 110.0 7 3 85.0 25 9
134.5 1 0 109.5 0 0 84.5 15 10
134.0 0 0 109.0 5 3 84.0 30 16
133.5 1 0 108.5 6 0 83.5 15 10
133.0 0 0 108.0 4 2 83.0 43 32
132.5 1 0 107.5 9 1 82.5 12 3
132.0 1 0 107.0 1 0 82.0 19 10
131.5 0 0 106.5 15 2 81.5 19 13
131.0 0 0 106.0 1 0 81.0 13 14
130.5 0 0 105.5 9 5 80.5 33 20
130.0 1 0 105.0 2 2 80.0 14 9
129.5 0 0 104.5 4 1 79.5 32 23
129.0 2 1 104.0 12 5 79.0 22 13
128.5 0 0 103.5 2 1 78.5 26 16
128.0 0 0 103.0 11 2 78.0 37 35
127.5 0 0 102.5 4 1 77.5 16 11
127.0 0 0 102.0 18 5 77.0 49 31
126.5 3 0 101.5 9 6 76.5 17 14
126.0 1 0 101.0 7 3 76.0 28 16
125.5 1 0 100.5 15 4 75.5 24 13
American Mathematics Competitions
2003 AMC 12 A Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 32 26 50.0 4 2 25.0 0 0
74.5 26 24 49.5 5 6 24.5 0 0
74.0 14 22 49.0 5 2 24.0 3 3
73.5 34 24 48.5 3 5 23.5 1 0
73.0 26 11 48.0 12 9 23.0 0 1
72.5 22 40 47.5 7 4 22.5 0 0
72.0 17 27 47.0 5 11 22.0 0 0
71.5 16 32 46.5 5 5 21.5 0 0
71.0 24 20 46.0 6 3 21.0 0 0
70.5 14 13 45.5 2 4 20.5 0 1
70.0 20 25 45.0 3 2 20.0 0 0
69.5 19 18 44.5 2 2 19.5 0 0
69.0 22 26 44.0 1 3 19.0 0 0
68.5 20 17 43.5 1 6 18.5 0 0
68.0 23 18 43.0 1 7 18.0 2 2
67.5 16 23 42.5 0 4 17.5 0 0
67.0 23 18 42.0 7 7 17.0 0 0
66.5 22 23 41.5 1 2 16.5 0 0
66.0 25 18 41.0 2 2 16.0 0 0
65.5 14 23 40.5 2 2 15.5 0 0
65.0 22 17 40.0 1 1 15.0 0 0
64.5 17 18 39.5 0 1 14.5 1 0
64.0 17 20 39.0 0 2 14.0 0 0
63.5 19 10 38.5 0 4 13.5 0 0
63.0 21 16 38.0 1 2 13.0 0 0
62.5 18 14 37.5 3 2 12.5 0 0
62.0 15 9 37.0 1 1 12.0 1 0
61.5 7 16 36.5 1 1 11.5 0 0
61.0 16 12 36.0 6 4 11.0 0 0
60.5 16 19 35.5 2 2 10.5 0 0
60.0 20 18 35.0 1 1 10.0 0 0
59.5 10 15 34.5 1 0 9.5 0 0
59.0 19 23 34.0 0 2 9.0 0 0
58.5 10 10 33.5 1 0 8.5 0 0
58.0 17 13 33.0 0 0 8.0 0 0
57.5 8 7 32.5 1 0 7.5 0 0
57.0 9 11 32.0 0 1 7.0 0 0
56.5 12 9 31.5 1 0 6.5 0 0
56.0 10 13 31.0 0 0 6.0 0 0
55.5 6 11 30.5 0 1 5.5 0 0
55.0 10 10 30.0 4 1 5.0 0 0
54.5 8 5 29.5 1 0 4.5 0 0
54.0 10 10 29.0 1 0 4.0 0 0
53.5 5 8 28.5 0 0 3.5 0 0
53.0 10 6 28.0 1 0 3.0 0 0
52.5 4 7 27.5 0 0 2.5 0 0
52.0 8 11 27.0 2 1 2.0 0 0
51.5 6 6 26.5 1 0 1.5 0 0
51.0 7 12 26.0 0 0 1.0 0 0
50.5 6 13 25.5 1 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 0 1 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 2 0 0
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 0 0 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 1 4 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 1 0 0 0
136.5 0 0 0 0 0 0 0 0 0 0
136.0 0 0 0 0 0 0 0 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 1 0 0
134.0 0 0 0 0 0 0 0 0 0 0
133.5 0 0 0 0 0 0 0 1 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0 1 0 0
132.0 0 0 0 0 0 0 0 1 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 1 0 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 1 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 0 0 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 2 1 0 0
126.0 0 0 0 0 0 1 0 0 0 0
125.5 0 0 0 0 0 0 0 1 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 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 1 0 0
122.5 0 0 0 0 0 0 0 3 0 0
122.0 0 0 0 0 0 0 1 1 0 0
121.5 0 0 0 0 0 0 0 1 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 1 2 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 1 2 0 0
119.0 0 0 0 0 0 0 0 2 0 0
118.5 0 0 0 0 0 0 0 2 0 0
118.0 0 0 0 0 0 0 0 1 0 0
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 0 0 1 2 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 1 3 5 0 0
115.5 0 0 0 0 0 1 0 0 0 0
115.0 0 0 0 0 0 1 0 3 0 0
114.5 0 0 0 0 0 1 1 3 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 0 4 2 0 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 2 0 2 8 0 0
112.0 0 0 0 0 0 0 0 1 0 0
111.5 0 0 0 0 0 0 2 0 0 0
111.0 0 0 0 0 0 1 3 3 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 6 5 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 0 5 3 0 0
108.5 0 0 0 0 0 0 1 5 0 0
108.0 0 0 0 0 0 1 1 5 0 0
107.5 0 0 0 0 0 2 3 5 0 0
107.0 0 0 0 0 0 0 1 0 0 0
106.5 0 0 0 0 0 3 7 7 0 0
106.0 0 0 0 0 0 0 0 1 0 0
105.5 0 0 0 0 0 3 6 6 0 0
105.0 0 0 0 0 1 1 1 2 0 0
104.5 0 0 0 0 0 1 1 3 0 1
104.0 0 0 0 0 0 3 5 9 0 0
103.5 0 0 0 0 0 0 1 2 0 0
103.0 0 0 0 0 0 1 5 8 0 0
102.5 0 0 0 0 1 0 1 3 0 0
102.0 0 0 0 0 0 2 10 12 0 0
101.5 0 0 0 0 1 4 4 6 0 0
101.0 0 0 0 0 0 1 6 3 0 0
100.5 0 0 0 0 1 1 10 7 0 0
100.0 0 0 0 0 0 0 1 1 0 0
99.5 0 0 0 0 0 6 7 15 0 0
99.0 0 0 0 0 0 2 3 1 0 1
98.5 0 0 0 0 0 0 6 8 0 2
98.0 0 0 0 0 0 1 5 9 0 1
97.5 0 0 0 0 0 0 3 3 0 0
97.0 0 0 0 0 0 3 8 9 0 0
96.5 0 0 0 0 0 1 0 2 0 0
96.0 0 0 0 0 0 2 15 15 0 1
95.5 0 0 0 0 2 0 6 8 0 1
95.0 0 0 0 0 1 1 13 8 0 0
94.5 0 0 0 0 0 1 10 9 0 1
94.0 0 0 0 0 2 0 6 2 0 1
93.5 0 0 0 0 0 5 13 17 0 1
93.0 0 0 0 0 1 0 4 1 0 0
92.5 0 0 0 0 0 2 11 19 0 1
92.0 0 0 0 0 0 3 3 6 0 0
91.5 0 0 0 0 2 2 4 6 0 0
91.0 0 0 0 0 3 5 14 12 0 0
90.5 0 0 0 0 0 2 4 3 0 0
90.0 0 0 0 0 1 2 20 19 0 2
89.5 0 0 0 0 0 3 6 2 0 1
89.0 0 0 0 0 3 3 28 29 0 0
88.5 0 0 0 0 0 1 19 7 0 1
88.0 0 0 0 0 1 4 9 10 0 1
87.5 0 0 0 0 1 2 23 17 0 1
87.0 0 0 0 0 0 1 4 1 0 0
86.5 0 0 0 0 0 3 34 22 0 3
86.0 0 0 0 0 0 5 7 5 0 1
85.5 0 0 0 0 1 2 15 11 0 1
85.0 0 0 0 0 0 1 17 16 0 0
84.5 0 0 0 0 0 2 14 10 0 2
84.0 0 0 0 0 1 5 22 18 0 0
83.5 0 0 0 0 0 1 12 12 0 0
83.0 0 0 0 0 1 6 38 31 0 2
82.5 0 0 0 0 0 4 6 6 0 0
82.0 0 0 0 0 1 3 10 17 0 2
81.5 0 0 0 0 1 1 20 12 0 0
81.0 0 0 0 0 0 2 10 15 0 0
80.5 0 0 0 0 2 2 25 24 0 0
80.0 0 0 0 0 3 3 11 9 0 0
79.5 0 0 0 0 0 7 24 25 0 1
79.0 0 0 0 0 2 3 14 16 0 0
78.5 0 0 0 0 3 5 13 22 0 2
78.0 0 0 0 0 1 5 34 33 0 0
77.5 0 0 0 0 0 4 17 7 0 0
77.0 0 0 0 0 5 5 48 25 0 1
76.5 0 0 0 0 1 3 14 14 0 0
76.0 0 0 0 0 1 3 25 16 0 0
75.5 0 0 0 0 0 5 16 18 0 0
75.0 0 0 0 0 3 10 27 19 0 0
74.5 0 0 0 0 1 4 23 20 0 3
74.0 0 0 0 0 0 3 14 20 0 1
73.5 0 0 0 0 1 8 26 23 0 1
73.0 0 0 0 0 0 2 21 15 0 0
72.5 0 0 0 0 4 6 33 20 0 0
72.0 0 0 0 0 0 2 28 16 0 0
71.5 0 0 0 0 3 4 16 25 0 0
71.0 0 0 0 0 3 2 21 18 0 0
70.5 0 0 0 0 4 2 12 10 0 0
70.0 0 0 0 0 0 6 22 17 0 0
69.5 0 0 0 0 0 6 20 12 0 0
69.0 0 0 0 0 0 4 25 19 0 1
68.5 0 0 0 0 3 2 20 12 0 0
68.0 0 0 0 0 1 1 26 14 0 1
67.5 0 0 0 0 1 2 23 14 0 1
67.0 0 0 0 0 0 4 26 13 0 0
66.5 0 0 0 0 1 5 21 18 0 0
66.0 0 0 0 0 1 4 16 24 0 0
65.5 0 0 0 0 1 6 20 12 0 0
65.0 0 0 0 0 0 3 24 15 0 1
64.5 0 0 0 0 0 4 18 13 0 0
64.0 0 0 0 0 1 3 21 12 0 0
63.5 0 0 0 0 1 6 15 8 0 0
63.0 0 0 0 0 2 6 21 7 0 1
62.5 0 0 0 0 0 3 23 9 0 1
62.0 0 0 0 0 0 1 12 13 0 0
61.5 0 0 0 0 0 2 11 11 0 1
61.0 0 0 0 0 2 2 15 9 0 0
60.5 0 0 0 0 1 2 23 12 0 0
60.0 0 0 0 0 3 6 15 15 0 1
59.5 0 0 0 0 2 5 9 9 0 1
59.0 0 0 0 0 0 5 22 15 0 0
58.5 0 0 0 0 2 2 11 7 0 0
58.0 0 0 0 0 1 2 14 13 0 1
57.5 0 0 0 0 0 0 10 6 0 0
57.0 0 0 0 0 2 5 7 6 0 1
56.5 0 0 0 0 2 2 13 4 0 0
56.0 0 0 0 0 0 0 14 9 0 0
55.5 0 0 0 0 1 3 7 6 0 0
55.0 0 0 0 0 0 3 10 7 0 0
54.5 0 0 0 0 0 2 6 6 0 0
54.0 0 0 0 0 1 1 13 5 0 0
53.5 0 0 0 0 1 1 7 4 0 1
53.0 0 0 0 0 0 1 8 7 0 1
52.5 0 0 0 0 0 3 4 4 0 1
52.0 0 0 0 0 0 2 13 5 0 0
51.5 0 0 0 0 0 1 10 1 0 0
51.0 0 0 0 0 1 2 12 4 0 0
50.5 0 0 0 0 0 1 13 6 0 0
50.0 0 0 0 0 0 1 3 2 0 1
49.5 0 0 0 0 0 1 7 3 0 0
49.0 0 0 0 0 0 0 2 6 0 0
48.5 0 0 0 0 1 0 6 2 0 1
48.0 0 0 0 0 1 2 13 5 0 1
47.5 0 0 0 0 0 2 6 3 0 0
47.0 0 0 0 0 0 0 10 6 0 0
46.5 0 0 0 0 0 1 7 2 0 0
46.0 0 0 0 0 0 0 5 4 0 0
45.5 0 0 0 0 0 0 3 3 0 0
45.0 0 0 0 0 0 0 4 1 0 0
44.5 0 0 0 0 0 0 2 2 0 2
44.0 0 0 0 0 0 1 2 2 0 0
43.5 0 0 0 0 0 0 4 3 0 0
43.0 0 0 0 0 0 1 5 2 0 0
42.5 0 0 0 0 0 1 3 0 0 0
42.0 0 0 0 0 1 0 8 5 0 0
41.5 0 0 0 0 0 0 4 0 0 0
41.0 0 0 0 0 0 0 3 1 0 0
40.5 0 0 0 0 0 0 3 1 0 0
40.0 0 0 0 0 0 1 1 0 0 0
39.5 0 0 0 0 0 0 1 0 0 0
39.0 0 0 0 0 0 0 1 1 0 0
38.5 0 0 0 0 0 0 3 1 0 0
38.0 0 0 0 0 0 0 2 1 0 0
37.5 0 0 0 0 0 0 2 3 0 0
37.0 0 0 0 0 0 0 2 0 0 0
36.5 0 0 0 0 0 0 1 1 0 0
36.0 0 0 0 0 0 0 5 5 0 1
35.5 0 0 0 0 0 2 3 1 0 0
35.0 0 0 0 0 0 0 2 0 0 0
34.5 0 0 0 0 0 0 0 1 0 0
34.0 0 0 0 0 0 2 1 0 0 0
33.5 0 0 0 0 0 0 1 0 0 0
33.0 0 0 0 0 0 0 0 0 0 0
32.5 0 0 0 0 0 0 1 0 0 0
32.0 0 0 0 0 0 0 1 0 0 0
31.5 0 0 0 0 0 0 1 0 0 0
31.0 0 0 0 0 0 0 0 0 0 0
30.5 0 0 0 0 0 0 1 0 0 0
30.0 0 0 0 0 0 0 1 4 0 0
29.5 0 0 0 0 0 0 1 0 0 0
29.0 0 0 0 0 0 0 1 0 0 0
28.5 0 0 0 0 0 0 0 0 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 2 0 0
26.5 0 0 0 0 0 0 1 0 0 0
26.0 0 0 0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0 1 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 2 3 0 0
23.5 0 0 0 0 0 0 1 0 0 0
23.0 0 0 0 0 0 0 0 1 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 0 1 0 0 0
20.0 0 0 0 0 0 0 0 0 0 0
19.5 0 0 0 0 0 0 0 0 0 0
19.0 0 0 0 0 0 0 0 0 0 0
18.5 0 0 0 0 0 0 0 0 0 0
18.0 0 0 0 0 0 0 2 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 1 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 1 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Minnesota
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 0.41 1.69 0.61 4.99* 0.44 1.86 0.00
2 0.06 8.96* 0.10 0.64 0.01 0.23 0.00
3 0.30 2.65 0.22 5.07* 0.20 1.56 0.00
4 5.25* 0.12 0.17 3.14 0.07 1.25 0.00
5 0.24 0.09 0.11 0.18 7.19* 2.19 0.00
6 1.19 1.71 3.09* 0.43 0.54 3.05 0.00
7 1.40 1.86* 0.86 1.84 0.27 3.77 0.00
8 1.17 0.48 0.20 0.19 6.80* 1.17 0.00
9 0.34 0.68 1.31 2.82* 0.19 4.67 0.00
10 0.41 0.85 0.43 2.70* 0.16 5.46 0.00
11 0.60 0.67 1.13* 0.37 0.78 6.45 0.00
12 0.12 0.24 0.51 0.42 6.24* 2.47 0.00
13 0.42 0.41 0.67 1.09 4.59* 2.82 0.00
14 0.81 0.33 0.44 4.22* 1.20 2.99 0.00
15 0.24 0.24 0.70* 0.11 0.31 8.40 0.00
16 0.52 0.47 3.96* 0.36 0.84 3.85 0.00
17 0.66 1.00* 0.29 0.53 0.21 7.30 0.00
18 0.12 0.37* 0.21 0.18 0.22 8.91 0.00
19 0.49 0.48 0.88 1.04* 0.42 6.69 0.00
20 0.34* 0.31 0.64 1.20 0.19 7.32 0.00
21 0.68 0.23 0.18 0.63* 1.54 6.74 0.00
22 0.58 0.52 0.32* 0.60 0.17 7.81 0.00
23 0.22 0.27* 0.21 0.18 0.15 8.95 0.00
24 0.07 1.40* 0.67 0.21 0.19 7.46 0.00
25 0.51 0.34 0.13* 0.05 1.79 7.18 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 Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 0 125.0 0 0 100.0 2 1
149.5 0 0 124.5 0 0 99.5 3 1
149.0 0 0 124.0 0 0 99.0 2 0
148.5 0 0 123.5 0 0 98.5 5 1
148.0 0 0 123.0 0 0 98.0 4 3
147.5 0 0 122.5 0 0 97.5 2 0
147.0 0 0 122.0 0 0 97.0 3 1
146.5 1 0 121.5 0 0 96.5 3 0
146.0 0 0 121.0 0 0 96.0 7 3
145.5 0 0 120.5 1 0 95.5 0 1
145.0 0 0 120.0 0 0 95.0 1 0
144.5 0 0 119.5 1 0 94.5 4 3
144.0 0 0 119.0 0 0 94.0 3 2
143.5 0 0 118.5 0 0 93.5 4 7
143.0 0 0 118.0 1 0 93.0 2 1
142.5 0 0 117.5 0 0 92.5 3 3
142.0 0 0 117.0 3 0 92.0 1 3
141.5 0 0 116.5 0 0 91.5 1 1
141.0 0 0 116.0 0 0 91.0 3 5
140.5 0 0 115.5 0 0 90.5 3 1
140.0 0 0 115.0 2 0 90.0 5 3
139.5 0 0 114.5 1 1 89.5 1 1
139.0 0 0 114.0 1 0 89.0 5 3
138.5 0 0 113.5 2 0 88.5 3 1
138.0 0 0 113.0 0 0 88.0 3 2
137.5 0 0 112.5 1 0 87.5 0 6
137.0 0 0 112.0 0 0 87.0 3 1
136.5 0 0 111.5 0 0 86.5 7 11
136.0 0 0 111.0 1 0 86.0 3 1
135.5 0 0 110.5 0 0 85.5 2 4
135.0 0 0 110.0 1 1 85.0 7 3
134.5 0 0 109.5 0 1 84.5 4 2
134.0 0 0 109.0 1 0 84.0 2 5
133.5 1 0 108.5 4 0 83.5 6 3
133.0 0 0 108.0 0 0 83.0 3 7
132.5 0 0 107.5 2 1 82.5 4 2
132.0 0 0 107.0 1 0 82.0 2 5
131.5 0 0 106.5 1 0 81.5 2 3
131.0 0 0 106.0 0 0 81.0 2 1
130.5 0 0 105.5 3 0 80.5 8 4
130.0 0 0 105.0 0 3 80.0 2 1
129.5 0 0 104.5 0 1 79.5 2 2
129.0 0 0 104.0 1 1 79.0 5 2
128.5 0 0 103.5 0 0 78.5 3 0
128.0 0 0 103.0 1 3 78.0 2 7
127.5 0 0 102.5 0 0 77.5 1 2
127.0 0 0 102.0 1 1 77.0 4 2
126.5 0 1 101.5 4 0 76.5 2 3
126.0 0 0 101.0 2 1 76.0 2 3
125.5 0 0 100.5 5 0 75.5 1 6
American Mathematics Competitions
2003 AMC 10 B Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 4 50.0 1 0 25.0 0 0
74.5 2 6 49.5 0 1 24.5 0 0
74.0 1 2 49.0 0 1 24.0 1 0
73.5 2 10 48.5 1 1 23.5 0 0
73.0 3 5 48.0 0 2 23.0 0 0
72.5 4 5 47.5 0 1 22.5 0 0
72.0 4 2 47.0 1 0 22.0 0 0
71.5 4 4 46.5 0 0 21.5 0 0
71.0 3 4 46.0 0 1 21.0 0 0
70.5 3 2 45.5 1 0 20.5 0 0
70.0 1 5 45.0 0 0 20.0 0 0
69.5 1 4 44.5 1 1 19.5 0 0
69.0 3 2 44.0 0 0 19.0 0 0
68.5 3 5 43.5 0 0 18.5 0 0
68.0 2 2 43.0 0 0 18.0 0 1
67.5 2 3 42.5 1 1 17.5 0 0
67.0 2 2 42.0 0 0 17.0 0 0
66.5 1 4 41.5 0 0 16.5 0 0
66.0 2 7 41.0 1 0 16.0 0 0
65.5 0 3 40.5 0 1 15.5 0 0
65.0 1 4 40.0 0 0 15.0 0 0
64.5 0 0 39.5 0 0 14.5 0 0
64.0 4 1 39.0 0 1 14.0 0 0
63.5 4 2 38.5 0 0 13.5 0 0
63.0 1 1 38.0 0 1 13.0 0 0
62.5 5 5 37.5 0 0 12.5 0 0
62.0 2 2 37.0 1 0 12.0 0 0
61.5 0 0 36.5 0 0 11.5 0 0
61.0 2 2 36.0 2 0 11.0 0 0
60.5 2 0 35.5 0 0 10.5 0 0
60.0 3 6 35.0 0 0 10.0 0 0
59.5 1 1 34.5 0 0 9.5 0 0
59.0 1 3 34.0 0 0 9.0 0 0
58.5 1 2 33.5 0 0 8.5 0 0
58.0 2 3 33.0 0 0 8.0 0 0
57.5 1 2 32.5 0 0 7.5 0 0
57.0 1 0 32.0 0 0 7.0 0 0
56.5 0 1 31.5 0 0 6.5 0 0
56.0 0 1 31.0 0 0 6.0 0 0
55.5 0 0 30.5 0 0 5.5 0 0
55.0 0 1 30.0 0 0 5.0 0 0
54.5 0 0 29.5 0 0 4.5 0 0
54.0 1 2 29.0 0 0 4.0 0 0
53.5 0 2 28.5 0 0 3.5 0 0
53.0 1 0 28.0 0 0 3.0 0 0
52.5 0 0 27.5 0 0 2.5 0 0
52.0 2 0 27.0 0 0 2.0 0 0
51.5 1 1 26.5 0 0 1.5 0 0
51.0 0 0 26.0 0 0 1.0 0 0
50.5 0 0 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for Minnesota
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 0 1 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 1 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 1 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 1 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 0 0 0
122.5 0 0 0 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 0 1 0
120.0 0 0 0 0 0 0 0
119.5 0 0 0 0 1 0 0
119.0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0
118.0 0 0 0 1 0 0 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 1 1 1 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 0
115.5 0 0 0 0 0 0 0
115.0 0 0 0 0 1 0 1
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 2 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 1 0 1
112.0 0 0 0 0 0 1 0
111.5 0 0 0 0 0 0 0
111.0 0 0 0 0 0 1 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 0 2 0
109.5 0 0 0 0 1 0 0
109.0 0 0 0 0 0 1 1
108.5 0 0 0 0 2 2 0
108.0 0 0 0 0 0 0 0
107.5 0 0 0 0 2 1 0
107.0 0 0 0 1 0 0 0
106.5 0 0 0 0 1 0 1
106.0 0 0 0 0 0 0 0
105.5 0 0 0 0 1 2 0
105.0 0 0 0 1 1 1 0
104.5 0 0 0 0 0 1 0
104.0 0 0 0 0 1 1 1
103.5 0 0 0 0 0 0 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 1 1 0
101.5 0 0 0 0 0 4 0
101.0 0 0 0 0 2 1 0
100.5 0 0 0 0 4 1 0
100.0 0 0 0 0 1 2 0
99.5 0 0 0 0 2 3 0
99.0 0 0 0 0 2 0 0
98.5 0 0 0 0 4 2 0
98.0 0 0 0 0 3 5 0
97.5 0 0 0 0 1 1 0
97.0 0 0 0 0 2 2 1
96.5 0 0 0 0 0 4 0
96.0 0 0 0 0 6 4 0
95.5 0 0 0 0 1 0 0
95.0 0 0 0 0 0 1 1
94.5 0 0 0 0 2 5 2
94.0 0 0 0 0 3 2 0
93.5 0 0 0 0 6 5 1
93.0 0 0 0 0 2 1 0
92.5 0 0 0 0 4 2 2
92.0 0 0 0 0 3 1 0
91.5 0 0 0 0 2 0 1
91.0 0 0 0 0 5 3 0
90.5 0 0 0 1 1 2 0
90.0 0 0 0 0 4 3 1
89.5 0 0 0 0 1 1 0
89.0 0 0 0 1 4 4 0
88.5 0 0 0 0 2 2 1
88.0 0 0 0 0 1 4 0
87.5 0 0 0 0 6 1 0
87.0 0 0 0 0 2 2 0
86.5 0 0 0 1 9 9 0
86.0 0 0 0 0 2 2 0
85.5 0 0 0 0 3 4 1
85.0 0 0 1 0 4 6 1
84.5 0 0 1 0 3 2 1
84.0 0 0 0 0 1 6 0
83.5 0 0 0 0 5 4 0
83.0 0 0 0 2 7 1 1
82.5 0 0 0 1 2 3 0
82.0 0 0 0 0 5 3 0
81.5 0 0 0 0 1 4 0
81.0 0 0 0 0 3 0 1
80.5 0 0 0 1 7 4 0
80.0 0 0 0 0 2 1 0
79.5 0 0 0 0 1 3 0
79.0 0 0 0 0 7 1 0
78.5 0 0 0 0 2 1 0
78.0 0 0 0 0 7 3 0
77.5 0 0 0 0 3 0 1
77.0 0 0 0 0 4 3 1
76.5 0 0 0 0 2 3 0
76.0 0 0 0 1 3 1 0
75.5 0 0 0 0 1 6 0
75.0 0 0 0 0 5 4 0
74.5 0 0 0 0 5 4 0
74.0 0 0 0 0 2 1 0
73.5 0 0 0 0 9 5 2
73.0 0 0 0 0 4 4 0
72.5 0 0 0 0 3 6 3
72.0 0 0 0 0 4 3 1
71.5 0 0 1 0 3 5 1
71.0 0 0 0 0 4 4 0
70.5 0 0 0 0 5 0 1
70.0 0 0 0 0 5 2 0
69.5 0 0 0 0 1 4 0
69.0 0 0 0 0 2 3 0
68.5 0 0 0 0 2 5 1
68.0 0 0 0 0 2 2 1
67.5 0 0 0 0 1 4 0
67.0 0 0 0 0 2 2 0
66.5 0 0 0 0 2 4 3
66.0 0 0 0 0 7 2 1
65.5 0 0 0 0 2 1 1
65.0 0 0 0 0 2 3 0
64.5 0 0 0 0 1 0 0
64.0 0 0 0 0 2 4 0
63.5 0 0 0 1 3 2 1
63.0 0 0 0 0 2 0 1
62.5 0 0 0 0 4 8 0
62.0 0 0 0 0 1 3 2
61.5 0 0 0 0 0 0 0
61.0 0 0 0 0 1 3 0
60.5 0 0 0 0 2 0 0
60.0 0 0 0 0 6 4 1
59.5 0 0 0 1 1 0 0
59.0 0 0 0 0 1 3 0
58.5 0 0 0 0 2 1 0
58.0 0 0 0 0 3 2 0
57.5 0 0 0 0 3 0 0
57.0 0 0 0 0 0 1 1
56.5 0 0 0 0 0 0 1
56.0 0 0 0 0 1 1 1
55.5 0 0 0 0 0 0 1
55.0 0 0 0 0 0 1 0
54.5 0 0 0 0 0 0 0
54.0 0 0 0 0 0 3 1
53.5 0 0 0 0 0 2 0
53.0 0 0 0 0 1 0 0
52.5 0 0 0 0 0 0 0
52.0 0 0 0 0 2 0 0
51.5 0 0 0 0 1 1 0
51.0 0 0 0 0 0 0 0
50.5 0 0 0 0 0 0 0
50.0 0 0 0 0 1 0 0
49.5 0 0 0 0 1 0 0
49.0 0 0 0 0 1 0 1
48.5 0 0 0 1 0 1 0
48.0 0 0 0 0 2 0 0
47.5 0 0 0 0 1 0 0
47.0 0 0 0 0 0 2 0
46.5 0 0 0 0 0 0 0
46.0 0 0 0 0 1 0 0
45.5 0 0 0 0 1 0 0
45.0 0 0 0 0 0 0 0
44.5 0 0 0 0 2 0 0
44.0 0 0 0 0 0 0 0
43.5 0 0 0 0 0 0 0
43.0 0 0 0 0 0 0 0
42.5 0 0 0 0 2 0 0
42.0 0 0 0 0 0 0 0
41.5 0 0 0 0 0 0 0
41.0 0 0 0 0 1 0 1
40.5 0 0 0 0 0 1 0
40.0 0 0 0 0 0 0 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 1 0 0
38.5 0 0 0 0 0 0 0
38.0 0 0 0 0 0 1 0
37.5 0 0 0 0 0 0 0
37.0 0 0 0 1 0 0 0
36.5 0 0 0 0 0 0 0
36.0 0 0 0 1 0 1 0
35.5 0 0 0 0 0 0 0
35.0 0 0 0 0 0 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 0 0
30.5 0 0 0 0 0 0 0
30.0 0 0 0 0 0 0 0
29.5 0 0 0 0 0 0 0
29.0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 0
26.5 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0
24.0 0 0 0 0 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 1
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 Minnesota
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 0.02 0.06 9.69* 0.09 0.03 0.11 0.00
2 0.09 0.12 1.23 7.64* 0.37 0.54 0.00
3 0.17 6.39* 0.51 0.91 0.09 1.93 0.00
4 8.61* 0.14 0.22 0.05 0.25 0.74 0.00
5 0.34 0.49 4.32* 0.74 1.30 2.81 0.00
6 0.82 1.77 0.28 3.33* 0.62 3.18 0.00
7 0.31 5.23* 0.17 0.69 0.12 3.47 0.00
8 0.25 0.94* 0.35 0.74 0.28 7.44 0.00
9 0.26 2.48* 0.31 0.28 0.20 6.47 0.00
10 0.25 0.28 3.49* 1.28 0.37 4.34 0.00
11 5.14* 0.34 0.34 0.15 1.11 2.90 0.02
12 0.34 0.57 5.97* 0.22 0.40 2.50 0.00
13 2.19 0.48 0.25 0.77 0.85* 5.45 0.02
14 0.91 0.28 0.22 3.02* 0.08 5.49 0.00
15 1.50 1.93 0.19 1.16 3.01* 2.21 0.02
16 0.22 0.34 0.35 0.43 5.32* 3.32 0.02
17 0.08 1.20* 0.62 0.39 0.11 7.61 0.00
18 0.31 1.02 0.19 1.48* 1.71 5.29 0.00
19 0.26 0.15 0.28 0.31 0.49* 8.50 0.00
20 0.20 0.26 0.35 1.84* 1.27 6.06 0.02
21 1.87 0.26 0.52* 1.05 0.42 5.88 0.00
22 1.02 2.44* 1.88 0.56 0.56 3.55 0.00
23 0.28 0.35 0.48 1.03* 0.35 7.50 0.00
24 0.09 0.02 1.47 0.05 0.06* 8.32 0.00
25 1.02 2.04* 1.00 0.23 0.28 5.43 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 Minnesota
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 0
149.0 0 0 124.0 0 0 99.0 2 0
148.5 0 0 123.5 0 0 98.5 2 2
148.0 0 0 123.0 2 0 98.0 2 1
147.5 0 0 122.5 0 0 97.5 2 0
147.0 0 0 122.0 1 0 97.0 6 2
146.5 1 0 121.5 2 0 96.5 0 1
146.0 0 0 121.0 0 0 96.0 5 2
145.5 0 0 120.5 1 0 95.5 3 1
145.0 0 0 120.0 0 0 95.0 3 4
144.5 0 0 119.5 2 1 94.5 3 1
144.0 3 0 119.0 0 0 94.0 2 0
143.5 0 0 118.5 2 0 93.5 6 0
143.0 0 0 118.0 0 0 93.0 0 0
142.5 0 0 117.5 0 0 92.5 5 3
142.0 0 0 117.0 0 0 92.0 4 1
141.5 0 0 116.5 0 0 91.5 2 0
141.0 0 0 116.0 1 1 91.0 4 0
140.5 0 0 115.5 1 0 90.5 1 1
140.0 0 0 115.0 3 1 90.0 4 1
139.5 0 0 114.5 1 0 89.5 1 0
139.0 0 0 114.0 1 0 89.0 9 3
138.5 0 0 113.5 4 0 88.5 2 0
138.0 1 0 113.0 0 0 88.0 2 2
137.5 0 0 112.5 1 0 87.5 6 2
137.0 1 0 112.0 0 0 87.0 0 0
136.5 0 0 111.5 0 0 86.5 17 6
136.0 0 0 111.0 0 1 86.0 1 1
135.5 0 0 110.5 0 0 85.5 5 3
135.0 0 0 110.0 2 0 85.0 11 2
134.5 0 0 109.5 0 0 84.5 5 3
134.0 0 0 109.0 1 1 84.0 9 3
133.5 0 0 108.5 3 0 83.5 3 0
133.0 0 0 108.0 0 0 83.0 11 9
132.5 0 0 107.5 2 0 82.5 5 2
132.0 0 0 107.0 1 0 82.0 4 6
131.5 0 0 106.5 4 1 81.5 7 7
131.0 0 0 106.0 1 0 81.0 3 7
130.5 0 0 105.5 4 0 80.5 11 7
130.0 0 0 105.0 0 0 80.0 5 1
129.5 0 0 104.5 0 0 79.5 8 7
129.0 0 0 104.0 3 0 79.0 1 4
128.5 1 0 103.5 0 0 78.5 5 6
128.0 0 0 103.0 1 0 78.0 13 7
127.5 1 0 102.5 0 0 77.5 5 5
127.0 0 0 102.0 2 0 77.0 6 6
126.5 0 0 101.5 1 0 76.5 1 3
126.0 1 1 101.0 0 1 76.0 8 3
125.5 0 0 100.5 3 1 75.5 9 4
American Mathematics Competitions
2003 AMC 12 B Results for Minnesota
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 5 3 50.0 1 3 25.0 0 0
74.5 9 6 49.5 1 3 24.5 0 0
74.0 4 5 49.0 1 3 24.0 2 0
73.5 11 13 48.5 2 1 23.5 0 0
73.0 5 3 48.0 4 1 23.0 0 0
72.5 9 8 47.5 2 4 22.5 0 0
72.0 6 9 47.0 0 3 22.0 0 0
71.5 4 10 46.5 3 2 21.5 0 0
71.0 15 8 46.0 0 0 21.0 0 0
70.5 7 3 45.5 0 2 20.5 0 0
70.0 3 10 45.0 0 1 20.0 0 0
69.5 13 6 44.5 1 1 19.5 0 0
69.0 5 4 44.0 0 2 19.0 0 0
68.5 4 11 43.5 2 0 18.5 0 0
68.0 4 10 43.0 0 2 18.0 0 0
67.5 12 5 42.5 0 1 17.5 0 0
67.0 7 4 42.0 2 2 17.0 0 0
66.5 3 7 41.5 0 0 16.5 0 0
66.0 7 3 41.0 0 2 16.0 0 0
65.5 6 4 40.5 0 0 15.5 0 0
65.0 7 7 40.0 0 0 15.0 0 0
64.5 4 4 39.5 0 0 14.5 0 0
64.0 4 8 39.0 0 2 14.0 0 0
63.5 4 2 38.5 1 0 13.5 0 0
63.0 6 5 38.0 1 1 13.0 0 0
62.5 10 5 37.5 1 0 12.5 0 0
62.0 7 4 37.0 0 0 12.0 0 0
61.5 3 5 36.5 0 1 11.5 0 0
61.0 4 3 36.0 6 3 11.0 0 0
60.5 2 5 35.5 0 0 10.5 0 0
60.0 3 9 35.0 0 0 10.0 0 0
59.5 0 6 34.5 1 0 9.5 0 0
59.0 3 9 34.0 1 0 9.0 0 0
58.5 2 4 33.5 0 0 8.5 0 0
58.0 4 5 33.0 0 1 8.0 0 0
57.5 3 3 32.5 0 0 7.5 0 0
57.0 3 3 32.0 0 0 7.0 0 0
56.5 6 2 31.5 0 0 6.5 0 0
56.0 1 1 31.0 0 0 6.0 0 0
55.5 3 1 30.5 0 0 5.5 0 0
55.0 0 6 30.0 2 1 5.0 0 0
54.5 1 0 29.5 0 0 4.5 0 0
54.0 5 3 29.0 0 0 4.0 0 0
53.5 5 2 28.5 0 0 3.5 0 0
53.0 0 4 28.0 0 0 3.0 0 0
52.5 2 1 27.5 0 0 2.5 0 0
52.0 2 3 27.0 0 0 2.0 0 0
51.5 2 4 26.5 0 0 1.5 0 0
51.0 1 3 26.0 0 0 1.0 0 0
50.5 2 2 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Minnesota
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 1 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 1 0 2 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 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 0 0 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 0 0 0 0 0 0
132.0 0 0 0 0 0 0 0 0 0 0
131.5 0 0 0 0 0 0 0 0 0 0
131.0 0 0 0 0 0 0 0 0 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0 1 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 0 0 1 0 0
127.0 0 0 0 0 0 0 0 0 0 0
126.5 0 0 0 0 0 0 0 0 0 0
126.0 0 0 0 0 0 1 0 1 0 0
125.5 0 0 0 0 0 0 0 0 0 0
125.0 0 0 0 0 0 0 0 0 0 0
124.5 0 0 0 0 0 0 0 0 0 0
124.0 0 0 0 0 0 0 0 0 0 0
123.5 0 0 0 0 0 0 0 0 0 0
123.0 0 0 0 0 0 1 1 0 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 1 0 0 0
121.5 0 0 0 0 0 0 0 2 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 0 0 0 1 0 0
120.0 0 0 0 0 0 0 0 0 0 0
119.5 0 0 0 0 0 0 0 3 0 0
119.0 0 0 0 0 0 0 0 0 0 0
118.5 0 0 0 0 0 0 0 2 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 0 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 1 0 1 0 0
115.5 0 0 0 0 0 0 0 1 0 0
115.0 0 0 0 0 0 0 2 2 0 1
114.5 0 0 0 0 0 0 1 0 0 0
114.0 0 0 0 0 0 1 0 0 0 0
113.5 0 0 0 0 0 2 2 0 0 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 0 0 1 0 0 0
112.0 0 0 0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 0 0 0 0 0
111.0 0 0 0 0 0 0 0 1 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 1 1 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 1 1 1 0 0
108.5 0 0 0 0 0 0 0 3 0 0
108.0 0 0 0 0 0 0 0 0 0 0
107.5 0 0 0 0 0 1 1 0 0 0
107.0 0 0 0 0 0 0 0 1 0 0
106.5 0 0 0 0 2 0 0 3 0 0
106.0 0 0 0 0 0 0 0 1 0 0
105.5 0 0 0 0 0 1 2 1 0 0
105.0 0 0 0 0 0 0 0 0 0 0
104.5 0 0 0 0 0 0 0 0 0 0
104.0 0 0 0 0 0 0 3 0 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 0 1 0 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 0 0 0 0 1 0 1 0 0
101.5 0 0 0 0 1 0 0 0 0 0
101.0 0 0 0 0 0 0 1 0 0 0
100.5 0 0 0 0 0 2 1 1 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 0 1 4 1 0 0
99.0 0 0 0 0 0 0 1 1 0 0
98.5 0 0 0 0 0 0 1 3 0 1
98.0 0 0 0 0 0 0