American Mathematics Competitions
2003 AMC 10 A Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3078
Number of unofficial participants: 40
Average score of participants: 73.2
Average score for female students is: 71.1 ( 1226 Students)
Average score for male students is: 74.9 ( 1685 Students)
Average score for unspecified gender is 70.6 ( 167 Students)
Average score for grade 10 is: 74.0 ( 1655 Students)
Average score for grade 9 is: 71.7 ( 1338 Students)
Average score for grade 8 and below is: 84.1 ( 35 Students)
Average score with unknown grade: 76.2 ( 50 Students)
AIME qualifying score = 119.0 or better
Number of AIME qualifers 28
Number of schools returning results 112
Average school winning score 105.32
American Mathematics Competitions
2003 AMC 12 A Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 4064
Number of unofficial participants: 68
Average score of participants: 78.4
Average score for female students is: 74.6 ( 1529 Students)
Average score for male students is: 80.9 ( 2411 Students)
Average score for unspecified gender is 76.1 ( 124 Students)
Average score for grade 13 is: 78.9 ( 6 Students)
Average score for grade 12 is: 80.6 ( 1750 Students)
Average score for grade 11 is: 76.7 ( 1925 Students)
Average score for grade 10 is: 76.6 ( 281 Students)
Average score for grade 9 is: 79.2 ( 71 Students)
Average score for grade 8 and below is: 78.5 ( 1 Student)
Average score with unknown grade: 69.3 ( 30 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 471
Number of schools returning results 133
Average school winning score 108.13
Average school team score 302.76
American Mathematics Competitions
2003 AMC 10 B Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 2139
Number of unofficial participants: 0
Average score of participants: 79.3
Average score for female students is: 76.3 ( 936 Students)
Average score for male students is: 82.2 ( 1081 Students)
Average score for unspecified gender is 76.9 ( 122 Students)
Average score for grade 10 is: 80.2 ( 1215 Students)
Average score for grade 9 is: 78.1 ( 797 Students)
Average score for grade 8 and below is: 81.6 ( 69 Students)
Average score with unknown grade: 75.4 ( 58 Students)
AIME qualifying score = 121.0 or better
Number of AIME qualifers 25
Number of schools returning results 73
Average school winning score 109.38
American Mathematics Competitions
2003 AMC 12 B Results for Pennsylvania
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 3486
Number of unofficial participants: 0
Average score of participants: 75.9
Average score for female students is: 71.5 ( 1382 Students)
Average score for male students is: 78.8 ( 1989 Students)
Average score for unspecified gender is 77.4 ( 115 Students)
Average score for grade 13 is: 66.3 ( 2 Students)
Average score for grade 12 is: 77.3 ( 1408 Students)
Average score for grade 11 is: 75.1 ( 1590 Students)
Average score for grade 10 is: 73.0 ( 367 Students)
Average score for grade 9 is: 77.7 ( 82 Students)
Average score for grade 8 and below is: 86.5 ( 1 Student)
Average score with unknown grade: 79.3 ( 36 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 233
Number of schools returning results 96
Average school winning score 108.33
Average school team score 300.15
2003 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 0 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 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 1 1 0 1
143.5 0 0 0 0
143.0 0 1 0 1
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 1 2 1 0
139.0 0 0 0 0
138.5 0 0 0 0
138.0 1 0 1 1
137.5 0 0 0 0
137.0 0 1 0 1
136.5 0 0 0 0
136.0 0 0 0 0
135.5 0 0 0 0
135.0 0 0 0 0
134.5 0 0 0 0
134.0 0 0 0 0
133.5 0 1 1 0
133.0 0 0 0 0
132.5 2 1 1 1
132.0 2 1 1 1
131.5 0 0 0 0
131.0 1 2 2 1
130.5 0 0 0 0
130.0 4 3 0 0
129.5 0 0 0 0
129.0 0 2 0 1
128.5 0 0 2 1
128.0 0 0 0 0
127.5 1 0 2 1
127.0 0 0 0 0
126.5 3 6 1 1
126.0 1 1 0 0
125.5 1 1 2 3
125.0 1 0 4 0
124.5 0 0 0 0
124.0 2 2 2 5
123.5 0 0 0 0
123.0 3 3 0 2
122.5 0 0 0 1
122.0 3 2 1 1
121.5 2 0 2 1
121.0 0 0 0 0
120.5 4 1 2 4
120.0 1 0 0 0
119.5 7 3 2 2
119.0 1 1 1 0
118.5 6 6 2 2
118.0 3 3 3 2
117.5 0 0 0 0
117.0 3 2 5 1
116.5 1 0 1 0
116.0 6 7 4 2
115.5 0 0 5 2
115.0 5 3 3 2
114.5 1 2 4 5
114.0 1 0 0 0
113.5 8 7 7 5
113.0 0 1 0 0
112.5 14 9 6 7
112.0 2 0 5 2
111.5 18 4 1 2
111.0 8 6 3 7
110.5 1 0 0 0
110.0 18 6 7 3
109.5 0 1 3 0
109.0 16 7 4 8
108.5 6 0 5 3
108.0 21 9 3 4
107.5 19 4 12 12
107.0 1 0 2 3
106.5 30 13 7 7
106.0 4 0 4 4
105.5 35 12 4 4
105.0 5 3 8 11
104.5 11 11 1 4
104.0 18 7 19 11
103.5 1 0 0 7
103.0 31 21 10 12
102.5 8 0 6 8
102.0 44 17 5 17
101.5 16 5 13 13
101.0 25 10 6 7
100.5 31 22 18 12
100.0 2 0 1 3
99.5 40 23 12 7
99.0 12 4 11 11
98.5 40 17 6 13
98.0 26 15 16 9
97.5 7 5 5 4
97.0 34 24 21 24
96.5 9 1 11 8
96.0 60 35 16 23
95.5 15 7 10 8
95.0 58 42 7 11
94.5 23 17 22 33
94.0 9 8 4 11
93.5 52 31 20 28
93.0 8 3 12 8
92.5 43 45 17 29
92.0 23 9 31 23
91.5 21 22 10 15
91.0 27 21 19 22
90.5 10 7 7 15
90.0 67 31 19 33
89.5 12 9 18 12
89.0 79 59 21 24
88.5 23 19 29 21
88.0 18 34 8 22
87.5 52 31 31 23
87.0 14 13 9 14
86.5 73 64 35 40
86.0 23 12 26 15
85.5 42 33 24 41
85.0 40 22 34 27
84.5 26 21 18 22
84.0 69 62 38 28
83.5 29 25 18 15
83.0 84 82 29 29
82.5 30 16 36 20
82.0 36 45 30 24
81.5 48 34 34 27
81.0 18 18 28 22
80.5 65 74 37 46
80.0 34 21 33 16
79.5 45 48 39 50
79.0 44 24 38 22
78.5 39 41 27 26
78.0 67 57 39 31
77.5 37 19 31 25
77.0 80 100 31 33
76.5 33 20 33 25
76.0 41 54 33 21
75.5 42 47 45 19
75.0 34 34 26 27
74.5 56 74 43 31
74.0 25 24 28 14
73.5 51 65 35 20
73.0 36 40 33 22
72.5 48 57 34 24
72.0 69 67 48 32
71.5 46 32 25 22
71.0 51 91 31 18
70.5 23 32 35 12
70.0 46 55 28 17
69.5 46 41 46 17
69.0 39 45 38 25
68.5 53 53 51 26
68.0 42 23 26 21
67.5 38 50 43 20
67.0 39 29 39 14
66.5 39 46 39 25
66.0 60 56 53 23
65.5 32 25 39 12
65.0 53 61 31 26
64.5 37 18 42 15
64.0 30 34 31 9
63.5 41 29 31 11
63.0 31 25 25 17
62.5 28 48 40 21
62.0 26 24 27 16
61.5 31 40 24 15
61.0 22 27 25 10
60.5 26 17 24 11
60.0 41 52 44 20
59.5 26 13 30 11
59.0 25 48 25 6
58.5 19 20 24 7
58.0 22 18 21 13
57.5 28 23 17 14
57.0 14 11 24 8
56.5 15 26 25 14
56.0 25 13 15 7
55.5 19 17 22 5
55.0 11 19 19 5
54.5 16 13 27 7
54.0 23 27 23 16
53.5 14 8 15 6
53.0 23 16 20 6
52.5 12 12 19 6
52.0 8 7 19 7
51.5 12 12 12 11
51.0 3 10 11 5
50.5 12 10 21 8
50.0 15 7 10 4
49.5 9 8 10 3
49.0 9 3 13 5
48.5 6 1 12 4
48.0 21 15 25 7
47.5 10 3 12 4
47.0 7 11 12 2
46.5 7 5 15 2
46.0 5 6 7 1
45.5 3 2 5 1
45.0 3 4 12 3
44.5 11 7 6 4
44.0 8 8 9 1
43.5 3 0 3 3
43.0 5 6 4 2
42.5 3 1 3 2
42.0 10 13 13 7
41.5 1 4 4 2
41.0 2 3 4 2
40.5 4 3 5 1
40.0 3 0 8 2
39.5 4 1 0 0
39.0 2 0 4 0
38.5 6 1 3 1
38.0 2 2 3 0
37.5 2 1 3 2
37.0 2 0 4 0
36.5 4 2 5 2
36.0 10 10 9 6
35.5 5 2 2 3
35.0 2 1 1 0
34.5 1 0 1 0
34.0 0 0 1 1
33.5 1 0 0 0
33.0 0 3 4 0
32.5 3 0 3 0
32.0 0 0 1 0
31.5 3 0 3 0
31.0 1 0 1 0
30.5 1 1 1 1
30.0 6 6 3 5
29.5 1 0 1 0
29.0 0 0 1 0
28.5 0 0 0 1
28.0 0 1 0 0
27.5 0 0 0 0
27.0 1 1 1 1
26.5 1 0 1 0
26.0 0 0 0 0
25.5 0 0 1 0
25.0 0 0 0 0
24.5 0 0 1 0
24.0 3 2 6 0
23.5 0 0 0 0
23.0 0 0 2 0
22.5 0 0 0 0
22.0 3 0 0 0
21.5 0 0 0 0
21.0 0 0 0 0
20.5 0 0 0 1
20.0 0 0 0 0
19.5 0 0 0 0
19.0 0 0 0 0
18.5 0 0 1 0
18.0 1 0 1 0
17.5 0 0 1 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 0 0 1 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 0 0 0 0
11.5 0 0 0 0
11.0 0 0 0 0
10.5 0 0 0 0
10.0 0 0 0 0
9.5 0 0 0 0
9.0 0 0 0 0
8.5 0 0 0 0
8.0 0 0 0 0
7.5 0 0 0 0
7.0 0 0 0 0
6.5 0 0 0 0
6.0 0 0 0 0
5.5 0 0 0 0
5.0 0 0 0 0
4.5 0 0 0 0
4.0 0 0 0 0
3.5 0 0 0 0
3.0 0 0 0 0
2.5 0 0 0 0
2.0 0 0 0 0
1.5 0 0 0 0
1.0 0 0 0 0
0.5 0 0 0 0
0 0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 3 1 100.0 1 0
149.5 0 0 124.5 0 0 99.5 9 2
149.0 0 0 124.0 2 0 99.0 6 4
148.5 0 0 123.5 0 0 98.5 3 3
148.0 0 0 123.0 0 0 98.0 12 3
147.5 0 0 122.5 0 0 97.5 3 2
147.0 0 0 122.0 0 0 97.0 16 5
146.5 0 0 121.5 2 0 96.5 6 4
146.0 0 0 121.0 0 0 96.0 8 7
145.5 0 0 120.5 2 0 95.5 8 1
145.0 0 0 120.0 0 0 95.0 4 3
144.5 0 0 119.5 2 0 94.5 17 5
144.0 0 0 119.0 1 0 94.0 2 1
143.5 0 0 118.5 2 0 93.5 11 8
143.0 0 0 118.0 2 1 93.0 9 2
142.5 0 0 117.5 0 0 92.5 11 6
142.0 0 0 117.0 4 1 92.0 16 14
141.5 0 0 116.5 1 0 91.5 5 4
141.0 0 0 116.0 3 1 91.0 10 9
140.5 0 0 115.5 3 2 90.5 5 2
140.0 0 0 115.0 3 0 90.0 11 7
139.5 1 0 114.5 4 0 89.5 13 4
139.0 0 0 114.0 0 0 89.0 15 6
138.5 0 0 113.5 6 1 88.5 17 11
138.0 1 0 113.0 0 0 88.0 5 3
137.5 0 0 112.5 6 0 87.5 20 10
137.0 0 0 112.0 5 0 87.0 7 1
136.5 0 0 111.5 1 0 86.5 17 14
136.0 0 0 111.0 2 1 86.0 17 6
135.5 0 0 110.5 0 0 85.5 15 9
135.0 0 0 110.0 4 3 85.0 21 13
134.5 0 0 109.5 2 1 84.5 5 11
134.0 0 0 109.0 4 0 84.0 29 9
133.5 1 0 108.5 4 1 83.5 10 7
133.0 0 0 108.0 2 0 83.0 12 15
132.5 1 0 107.5 8 3 82.5 23 12
132.0 1 0 107.0 1 0 82.0 16 12
131.5 0 0 106.5 6 0 81.5 15 18
131.0 2 0 106.0 4 0 81.0 18 8
130.5 0 0 105.5 2 2 80.5 19 14
130.0 0 0 105.0 8 0 80.0 19 11
129.5 0 0 104.5 0 0 79.5 17 21
129.0 0 0 104.0 12 7 79.0 23 13
128.5 0 1 103.5 0 0 78.5 14 13
128.0 0 0 103.0 7 3 78.0 21 15
127.5 2 0 102.5 5 1 77.5 17 12
127.0 0 0 102.0 4 1 77.0 12 19
126.5 1 0 101.5 9 4 76.5 22 11
126.0 0 0 101.0 2 3 76.0 20 11
125.5 2 0 100.5 10 7 75.5 24 19
American Mathematics Competitions
2003 AMC 10 A Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 13 11 50.0 7 3 25.0 0 0
74.5 29 12 49.5 4 6 24.5 1 0
74.0 17 9 49.0 8 4 24.0 4 2
73.5 17 18 48.5 6 6 23.5 0 0
73.0 16 16 48.0 17 8 23.0 1 1
72.5 11 22 47.5 6 3 22.5 0 0
72.0 22 20 47.0 7 2 22.0 0 0
71.5 12 10 46.5 9 5 21.5 0 0
71.0 11 19 46.0 5 2 21.0 0 0
70.5 14 20 45.5 3 1 20.5 0 0
70.0 9 13 45.0 5 7 20.0 0 0
69.5 23 21 44.5 3 2 19.5 0 0
69.0 20 16 44.0 4 5 19.0 0 0
68.5 25 26 43.5 1 2 18.5 1 0
68.0 11 14 43.0 2 2 18.0 1 0
67.5 20 22 42.5 3 0 17.5 1 0
67.0 23 14 42.0 7 6 17.0 0 0
66.5 14 24 41.5 2 2 16.5 0 0
66.0 31 19 41.0 2 2 16.0 0 0
65.5 17 19 40.5 2 3 15.5 0 0
65.0 13 17 40.0 3 4 15.0 0 0
64.5 19 19 39.5 0 0 14.5 1 0
64.0 18 12 39.0 3 0 14.0 0 0
63.5 17 13 38.5 3 0 13.5 0 0
63.0 13 11 38.0 1 2 13.0 0 0
62.5 18 20 37.5 2 0 12.5 0 0
62.0 10 16 37.0 4 0 12.0 0 0
61.5 15 7 36.5 3 2 11.5 0 0
61.0 14 11 36.0 4 4 11.0 0 0
60.5 10 11 35.5 1 1 10.5 0 0
60.0 28 13 35.0 1 0 10.0 0 0
59.5 20 10 34.5 0 1 9.5 0 0
59.0 14 9 34.0 0 1 9.0 0 0
58.5 13 10 33.5 0 0 8.5 0 0
58.0 7 12 33.0 2 2 8.0 0 0
57.5 7 10 32.5 1 2 7.5 0 0
57.0 10 11 32.0 0 1 7.0 0 0
56.5 11 12 31.5 2 0 6.5 0 0
56.0 5 7 31.0 0 0 6.0 0 0
55.5 11 8 30.5 1 0 5.5 0 0
55.0 11 7 30.0 2 0 5.0 0 0
54.5 11 14 29.5 1 0 4.5 0 0
54.0 15 7 29.0 1 0 4.0 0 0
53.5 8 6 28.5 0 0 3.5 0 0
53.0 11 7 28.0 0 0 3.0 0 0
52.5 7 9 27.5 0 0 2.5 0 0
52.0 9 8 27.0 1 0 2.0 0 0
51.5 8 4 26.5 1 0 1.5 0 0
51.0 6 5 26.0 0 0 1.0 0 0
50.5 5 15 25.5 0 1 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Pennsylvania
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 1 0
139.0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0
138.0 0 0 0 0 0 1 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 1 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 1 0 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 2 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 2 0
128.0 0 0 0 0 0 0 0
127.5 0 0 0 0 0 2 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 2 0
125.0 0 0 0 0 0 4 0
124.5 0 0 0 0 0 0 0
124.0 0 0 0 0 1 1 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 1
121.5 0 0 0 0 0 2 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 1 0 0
118.5 0 0 0 0 1 1 0
118.0 0 0 0 0 0 3 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 2 3 0
116.5 0 0 0 0 0 1 0
116.0 0 0 0 0 1 3 0
115.5 0 0 0 0 2 3 0
115.0 0 0 0 0 2 1 0
114.5 0 0 0 1 1 2 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 4 3 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 0 2 4 0
112.0 0 0 0 0 3 2 0
111.5 0 0 0 1 0 0 0
111.0 0 0 0 1 1 1 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 4 3 0
109.5 0 0 0 1 1 1 0
109.0 0 0 0 0 0 4 0
108.5 0 0 0 0 0 5 0
108.0 0 0 0 0 0 3 0
107.5 0 0 0 1 4 7 0
107.0 0 0 0 0 1 1 0
106.5 0 0 0 0 4 3 0
106.0 0 0 0 0 0 4 0
105.5 0 0 0 0 2 2 0
105.0 0 0 0 0 5 3 0
104.5 0 0 0 0 0 0 1
104.0 0 0 0 1 5 13 0
103.5 0 0 0 0 0 0 0
103.0 0 0 0 0 4 6 0
102.5 0 0 0 0 1 5 0
102.0 0 0 0 1 1 3 0
101.5 0 0 0 1 3 9 0
101.0 0 0 0 0 2 3 1
100.5 0 0 0 1 6 11 0
100.0 0 0 0 0 0 1 0
99.5 0 0 0 0 4 8 0
99.0 0 0 0 1 1 9 0
98.5 0 0 0 0 5 1 0
98.0 0 0 0 1 5 9 1
97.5 0 0 0 0 2 3 0
97.0 0 0 0 0 7 14 0
96.5 0 0 0 1 4 6 0
96.0 0 0 0 1 5 10 0
95.5 0 0 0 0 2 8 0
95.0 0 0 0 0 3 4 0
94.5 0 0 0 0 14 7 1
94.0 0 0 0 0 3 1 0
93.5 0 0 0 0 7 12 1
93.0 0 0 0 0 4 8 0
92.5 0 0 0 0 7 9 1
92.0 0 0 0 0 12 18 1
91.5 0 0 0 0 6 4 0
91.0 0 0 0 0 10 9 0
90.5 0 0 0 1 3 3 0
90.0 0 0 1 0 6 12 0
89.5 0 0 0 1 10 7 0
89.0 0 0 0 0 10 11 0
88.5 0 0 0 1 13 14 1
88.0 0 0 0 1 2 5 0
87.5 0 0 0 0 16 14 1
87.0 0 0 0 0 1 7 1
86.5 0 0 0 0 12 21 2
86.0 0 0 0 1 10 13 2
85.5 0 0 0 0 8 15 1
85.0 0 0 0 1 12 21 0
84.5 0 0 0 0 7 9 2
84.0 0 0 0 0 18 20 0
83.5 0 0 0 0 3 14 1
83.0 0 0 0 1 11 16 1
82.5 0 0 0 0 9 27 0
82.0 0 0 0 0 17 13 0
81.5 0 0 0 0 16 18 0
81.0 0 0 1 0 12 13 2
80.5 0 0 0 0 22 14 1
80.0 0 0 0 0 13 19 1
79.5 0 0 0 0 15 23 1
79.0 0 0 0 0 15 22 1
78.5 0 0 0 0 14 13 0
78.0 0 0 0 0 20 18 1
77.5 0 0 0 1 7 22 1
77.0 0 0 0 0 10 21 0
76.5 0 0 0 0 11 22 0
76.0 0 0 0 0 18 15 0
75.5 0 0 0 0 15 30 0
75.0 0 0 0 0 13 12 1
74.5 0 0 0 2 23 18 0
74.0 0 0 0 1 18 8 1
73.5 0 0 0 0 17 18 0
73.0 0 0 0 0 13 20 0
72.5 0 0 0 0 13 20 1
72.0 0 0 0 1 20 25 2
71.5 0 0 0 0 13 11 1
71.0 0 0 0 0 14 17 0
70.5 0 0 0 0 15 20 0
70.0 0 0 0 0 14 13 1
69.5 0 0 0 0 23 22 1
69.0 0 0 0 0 20 17 1
68.5 0 0 0 2 23 26 0
68.0 0 0 0 0 9 17 0
67.5 0 0 0 0 19 23 1
67.0 0 0 0 0 18 20 1
66.5 0 0 0 0 17 22 0
66.0 0 0 0 0 28 25 0
65.5 0 0 0 0 17 22 0
65.0 0 0 0 0 13 18 0
64.5 0 0 0 0 21 21 0
64.0 0 0 0 0 9 21 1
63.5 0 0 0 0 8 23 0
63.0 0 0 0 0 11 14 0
62.5 0 0 0 0 25 14 1
62.0 0 0 0 0 12 15 0
61.5 0 1 0 0 9 13 1
61.0 0 0 0 0 12 13 0
60.5 0 0 0 0 18 6 0
60.0 0 0 0 1 16 26 1
59.5 0 0 0 0 15 15 0
59.0 0 0 0 0 15 10 0
58.5 0 0 0 0 12 12 0
58.0 0 0 0 0 10 11 0
57.5 0 0 0 0 11 6 0
57.0 0 0 0 1 12 11 0
56.5 0 0 0 0 13 12 0
56.0 0 0 0 0 7 8 0
55.5 0 0 0 0 11 11 0
55.0 0 0 0 0 10 9 0
54.5 0 0 0 0 8 18 1
54.0 0 0 0 0 13 10 0
53.5 0 0 0 0 8 7 0
53.0 0 0 0 0 13 6 1
52.5 0 0 0 0 8 10 1
52.0 0 0 0 0 12 7 0
51.5 0 0 0 0 6 6 0
51.0 0 0 0 0 6 5 0
50.5 0 0 0 0 15 6 0
50.0 0 0 0 0 6 4 0
49.5 0 0 0 0 3 7 0
49.0 0 0 0 0 3 10 0
48.5 0 0 0 0 4 8 0
48.0 0 0 0 1 10 14 0
47.5 0 0 0 0 4 8 0
47.0 0 0 0 0 8 4 0
46.5 0 0 0 0 5 10 0
46.0 0 0 0 0 2 5 0
45.5 0 0 0 0 1 3 1
45.0 0 0 0 0 6 6 0
44.5 0 0 0 0 2 4 0
44.0 0 0 0 0 3 6 0
43.5 0 0 0 0 2 1 0
43.0 0 0 0 0 1 3 0
42.5 0 0 0 0 2 1 0
42.0 0 0 0 0 8 5 0
41.5 0 0 0 0 2 2 0
41.0 0 0 0 0 1 3 0
40.5 0 0 0 0 3 2 0
40.0 0 0 0 0 4 3 1
39.5 0 0 0 0 0 0 0
39.0 0 0 0 1 1 1 1
38.5 0 0 0 0 1 2 0
38.0 0 0 0 0 1 2 0
37.5 0 0 0 0 2 1 0
37.0 0 0 0 0 1 3 0
36.5 0 0 0 1 1 3 0
36.0 0 0 0 0 1 8 0
35.5 0 0 0 0 1 1 0
35.0 0 0 0 0 0 1 0
34.5 0 0 0 0 1 0 0
34.0 0 0 0 0 0 1 0
33.5 0 0 0 0 0 0 0
33.0 0 0 0 0 2 2 0
32.5 0 0 0 0 3 0 0
32.0 0 0 0 0 1 0 0
31.5 0 0 0 0 1 1 1
31.0 0 0 0 0 0 1 0
30.5 0 0 0 0 1 0 0
30.0 0 0 0 0 0 3 0
29.5 0 0 0 0 0 1 0
29.0 0 0 0 0 1 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 1 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 1 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 1 0 0
24.0 0 0 0 0 2 4 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 1 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 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 1 0
18.0 0 0 0 0 0 1 0
17.5 0 0 0 0 1 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 1 0 0
14.0 0 0 0 0 0 0 0
13.5 0 0 0 0 0 0 0
13.0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0
12.0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0
11.0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0
10.0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0
9.0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0
8.0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0
7.0 0 0 0 0 0 0 0
6.5 0 0 0 0 0 0 0
6.0 0 0 0 0 0 0 0
5.5 0 0 0 0 0 0 0
5.0 0 0 0 0 0 0 0
4.5 0 0 0 0 0 0 0
4.0 0 0 0 0 0 0 0
3.5 0 0 0 0 0 0 0
3.0 0 0 0 0 0 0 0
2.5 0 0 0 0 0 0 0
2.0 0 0 0 0 0 0 0
1.5 0 0 0 0 0 0 0
1.0 0 0 0 0 0 0 0
0.5 0 0 0 0 0 0 0
0 0 0 0 0 0 0
American Mathematics Competitions
2003 AMC 10 A Results for Pennsylvania
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 0.69 2.24 0.80 4.19* 0.52 1.56 0.00
2 0.05 8.60* 0.23 0.82 0.04 0.27 0.00
3 0.56 2.40 0.43 3.69* 0.39 2.53 0.00
4 4.46* 0.17 0.25 3.37 0.10 1.65 0.00
5 0.70 5.57* 0.20 0.11 0.08 3.34 0.00
6 1.55 1.88 2.53* 0.59 0.74 2.70 0.00
7 1.61 2.10* 1.14 1.84 0.40 2.91 0.00
8 1.25 0.70 0.37 0.25 6.37* 1.06 0.00
9 1.62* 0.56 1.53 1.90 0.10 4.29 0.00
10 0.66 0.51 0.85 1.28 3.56* 3.14 0.00
11 0.28 0.13 0.16 0.19 6.72* 2.51 0.00
12 2.61* 2.89 0.22 1.04 0.80 2.44 0.00
13 5.98* 0.28 0.23 0.19 0.06 3.26 0.00
14 1.69* 1.16 0.42 0.91 1.09 4.73 0.00
15 0.82 1.72 4.19* 0.49 0.71 2.06 0.00
16 0.82 0.84 2.17* 0.26 0.67 5.23 0.00
17 0.47 0.73* 0.27 0.35 0.36 7.82 0.00
18 0.65 0.65* 0.18 0.65 0.74 7.14 0.00
19 0.25 0.31 0.45* 0.17 0.15 8.68 0.00
20 0.46 0.27 0.29 0.35 0.38* 8.25 0.00
21 0.60 0.53 1.16 2.10* 2.32 3.29 0.00
22 0.73 2.18* 0.49 0.18 0.09 6.33 0.00
23 0.35 0.25 0.73* 0.57 0.63 7.47 0.00
24 0.20 0.42 0.67 0.60 4.53* 3.58 0.00
25 0.23 0.40* 0.26 0.22 0.22 8.65 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 Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 0 0 125.0 1 0 100.0 0 2
149.5 0 0 124.5 0 0 99.5 27 11
149.0 0 0 124.0 2 0 99.0 8 3
148.5 0 0 123.5 0 0 98.5 30 9
148.0 0 0 123.0 3 0 98.0 21 5
147.5 0 0 122.5 0 0 97.5 4 3
147.0 0 0 122.0 1 2 97.0 25 9
146.5 0 0 121.5 2 0 96.5 6 3
146.0 0 0 121.0 0 0 96.0 36 20
145.5 0 0 120.5 3 1 95.5 9 5
145.0 0 0 120.0 1 0 95.0 37 20
144.5 0 0 119.5 7 0 94.5 19 4
144.0 1 0 119.0 1 0 94.0 8 1
143.5 0 0 118.5 5 1 93.5 39 11
143.0 0 0 118.0 3 0 93.0 6 2
142.5 0 0 117.5 0 0 92.5 28 14
142.0 0 0 117.0 2 1 92.0 15 6
141.5 0 0 116.5 1 0 91.5 10 10
141.0 0 0 116.0 6 0 91.0 16 8
140.5 0 0 115.5 0 0 90.5 8 2
140.0 0 0 115.0 5 0 90.0 49 18
139.5 1 0 114.5 1 0 89.5 11 1
139.0 0 0 114.0 1 0 89.0 49 28
138.5 0 0 113.5 7 1 88.5 20 2
138.0 1 0 113.0 0 0 88.0 12 5
137.5 0 0 112.5 13 1 87.5 36 14
137.0 0 0 112.0 2 0 87.0 10 4
136.5 0 0 111.5 17 1 86.5 47 24
136.0 0 0 111.0 7 1 86.0 18 5
135.5 0 0 110.5 1 0 85.5 16 25
135.0 0 0 110.0 15 3 85.0 24 15
134.5 0 0 109.5 0 0 84.5 13 12
134.0 0 0 109.0 14 2 84.0 45 21
133.5 0 0 108.5 4 2 83.5 19 10
133.0 0 0 108.0 11 10 83.0 49 32
132.5 2 0 107.5 13 4 82.5 16 12
132.0 2 0 107.0 1 0 82.0 22 10
131.5 0 0 106.5 25 5 81.5 31 16
131.0 1 0 106.0 4 0 81.0 9 9
130.5 0 0 105.5 21 10 80.5 36 26
130.0 4 0 105.0 3 2 80.0 21 13
129.5 0 0 104.5 9 1 79.5 23 21
129.0 0 0 104.0 15 2 79.0 29 15
128.5 0 0 103.5 1 0 78.5 16 21
128.0 0 0 103.0 25 5 78.0 37 27
127.5 1 0 102.5 7 1 77.5 16 20
127.0 0 0 102.0 36 8 77.0 50 29
126.5 3 0 101.5 14 2 76.5 18 14
126.0 1 0 101.0 12 11 76.0 15 26
125.5 1 0 100.5 24 7 75.5 22 17
American Mathematics Competitions
2003 AMC 12 A Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 16 17 50.0 7 8 25.0 0 0
74.5 30 26 49.5 5 4 24.5 0 0
74.0 18 7 49.0 4 4 24.0 1 1
73.5 30 20 48.5 2 3 23.5 0 0
73.0 23 13 48.0 13 7 23.0 0 0
72.5 21 27 47.5 6 3 22.5 0 0
72.0 37 32 47.0 3 4 22.0 2 1
71.5 22 22 46.5 4 2 21.5 0 0
71.0 23 27 46.0 3 1 21.0 0 0
70.5 12 10 45.5 1 2 20.5 0 0
70.0 22 22 45.0 1 2 20.0 0 0
69.5 32 14 44.5 7 2 19.5 0 0
69.0 15 21 44.0 3 4 19.0 0 0
68.5 29 22 43.5 1 2 18.5 0 0
68.0 22 19 43.0 1 4 18.0 0 1
67.5 17 19 42.5 2 1 17.5 0 0
67.0 23 15 42.0 7 3 17.0 0 0
66.5 14 23 41.5 1 0 16.5 0 0
66.0 33 23 41.0 1 1 16.0 0 0
65.5 18 14 40.5 3 1 15.5 0 0
65.0 27 25 40.0 3 0 15.0 0 0
64.5 18 18 39.5 1 3 14.5 0 0
64.0 16 12 39.0 1 1 14.0 0 0
63.5 18 22 38.5 2 4 13.5 0 0
63.0 9 22 38.0 1 0 13.0 0 0
62.5 9 17 37.5 2 0 12.5 0 0
62.0 9 15 37.0 0 2 12.0 0 0
61.5 16 15 36.5 2 2 11.5 0 0
61.0 13 8 36.0 8 2 11.0 0 0
60.5 16 10 35.5 4 1 10.5 0 0
60.0 18 21 35.0 0 2 10.0 0 0
59.5 17 9 34.5 0 1 9.5 0 0
59.0 13 12 34.0 0 0 9.0 0 0
58.5 10 9 33.5 1 0 8.5 0 0
58.0 9 12 33.0 0 0 8.0 0 0
57.5 14 13 32.5 3 0 7.5 0 0
57.0 8 6 32.0 0 0 7.0 0 0
56.5 10 5 31.5 3 0 6.5 0 0
56.0 15 10 31.0 1 0 6.0 0 0
55.5 9 8 30.5 1 0 5.5 0 0
55.0 4 6 30.0 3 2 5.0 0 0
54.5 10 4 29.5 1 0 4.5 0 0
54.0 15 8 29.0 0 0 4.0 0 0
53.5 6 8 28.5 0 0 3.5 0 0
53.0 14 9 28.0 0 0 3.0 0 0
52.5 8 4 27.5 0 0 2.5 0 0
52.0 2 6 27.0 1 0 2.0 0 0
51.5 6 6 26.5 0 1 1.5 0 0
51.0 0 3 26.0 0 0 1.0 0 0
50.5 4 7 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 A Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 0 0 0 0 0 0 0 0 0 0
149.5 0 0 0 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0 0 0 0
144.0 0 0 0 0 0 0 1 0 0 0
143.5 0 0 0 0 0 0 0 0 0 0
143.0 0 0 0 0 0 0 0 0 0 0
142.5 0 0 0 0 0 0 0 0 0 0
142.0 0 0 0 0 0 0 0 0 0 0
141.5 0 0 0 0 0 0 0 0 0 0
141.0 0 0 0 0 0 0 0 0 0 0
140.5 0 0 0 0 0 0 0 0 0 0
140.0 0 0 0 0 0 0 0 0 0 0
139.5 0 0 0 0 0 0 1 0 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0 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 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 2 0 0 0
132.0 0 0 0 0 2 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 1 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 2 2 0 0
129.5 0 0 0 0 0 0 0 0 0 0
129.0 0 0 0 0 0 0 0 0 0 0
128.5 0 0 0 0 0 0 0 0 0 0
128.0 0 0 0 0 0 0 0 0 0 0
127.5 0 0 0 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 1 1 1 0 0
126.0 0 0 0 0 0 0 0 1 0 0
125.5 0 0 0 0 0 0 0 1 0 0
125.0 0 0 0 0 0 1 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 1 1 1 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 1 1 1 0 0
121.5 0 0 0 0 0 1 1 0 0 0
121.0 0 0 0 0 0 0 0 0 0 0
120.5 0 0 0 0 1 0 1 2 0 0
120.0 0 0 0 0 0 0 0 1 0 0
119.5 0 0 0 0 0 0 1 6 0 0
119.0 0 0 0 0 0 0 1 0 0 0
118.5 0 0 0 0 0 0 2 4 0 0
118.0 0 0 0 0 0 0 0 3 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 1 0 0
116.0 0 0 0 0 0 0 2 4 0 0
115.5 0 0 0 0 0 0 0 0 0 0
115.0 0 0 0 0 0 1 1 3 0 0
114.5 0 0 0 0 0 0 0 1 0 0
114.0 0 0 0 0 0 0 1 0 0 0
113.5 0 0 0 0 0 1 5 2 0 0
113.0 0 0 0 0 0 0 0 0 0 0
112.5 0 0 0 0 2 0 3 9 0 0
112.0 0 0 0 0 0 0 1 1 0 0
111.5 0 0 0 0 1 1 6 10 0 0
111.0 0 0 0 0 0 0 2 6 0 0
110.5 0 0 0 0 0 1 0 0 0 0
110.0 0 0 0 0 0 3 5 10 0 0
109.5 0 0 0 0 0 0 0 0 0 0
109.0 0 0 0 0 0 0 8 8 0 0
108.5 0 0 0 0 1 0 2 3 0 0
108.0 0 0 0 0 0 2 9 10 0 0
107.5 0 0 0 0 0 0 6 13 0 0
107.0 0 0 0 0 0 0 0 1 0 0
106.5 0 0 0 0 1 1 7 21 0 0
106.0 0 0 0 0 0 1 0 3 0 0
105.5 0 0 0 0 1 2 11 21 0 0
105.0 0 0 0 0 0 0 1 4 0 0
104.5 0 0 0 0 0 1 2 8 0 0
104.0 0 0 0 0 0 0 12 6 0 0
103.5 0 0 0 0 1 0 0 0 0 0
103.0 0 0 0 0 0 1 13 17 0 0
102.5 0 0 0 0 0 0 4 4 0 0
102.0 0 0 0 0 0 1 15 28 0 0
101.5 0 0 0 0 1 0 7 8 0 0
101.0 0 0 0 0 0 3 10 11 0 1
100.5 0 0 0 0 0 2 12 17 0 0
100.0 0 0 0 0 0 0 2 0 0 0
99.5 0 0 0 0 2 2 16 18 0 2
99.0 0 0 0 0 0 1 7 4 0 0
98.5 0 0 0 0 0 1 17 20 1 1
98.0 0 0 0 0 0 0 11 15 0 0
97.5 0 0 0 0 0 0 2 5 0 0
97.0 0 0 0 0 0 2 18 14 0 0
96.5 0 0 0 0 0 1 3 5 0 0
96.0 0 0 0 0 1 2 28 29 0 0
95.5 0 0 0 0 1 0 5 9 0 0
95.0 0 0 0 0 3 5 22 27 0 1
94.5 0 0 0 0 0 1 10 12 0 0
94.0 0 0 0 0 0 1 3 5 0 0
93.5 0 0 0 0 1 0 24 27 0 0
93.0 0 0 0 0 0 0 6 2 0 0
92.5 0 0 0 0 1 7 14 20 0 1
92.0 0 0 0 0 0 0 13 10 0 0
91.5 0 0 0 0 0 0 6 15 0 0
91.0 0 0 0 0 0 4 12 10 0 1
90.5 0 0 0 0 0 0 4 6 0 0
90.0 0 0 0 0 1 5 30 31 0 0
89.5 0 0 0 0 0 1 8 3 0 0
89.0 0 0 0 0 1 5 33 39 0 1
88.5 0 0 0 0 0 3 6 14 0 0
88.0 0 0 0 0 0 3 10 5 0 0
87.5 0 0 0 0 1 5 29 16 1 0
87.0 0 0 0 0 0 2 7 5 0 0
86.5 0 0 0 0 1 6 30 36 0 0
86.0 0 0 0 0 0 2 10 11 0 0
85.5 0 0 0 0 0 3 23 16 0 0
85.0 0 0 0 0 0 2 20 18 0 0
84.5 0 0 0 0 0 1 12 13 0 0
84.0 0 0 0 0 0 2 37 28 0 2
83.5 0 0 0 0 1 1 17 10 0 0
83.0 0 0 0 0 1 7 37 38 1 0
82.5 0 0 0 0 0 2 20 8 0 0
82.0 0 0 0 0 0 2 15 18 1 0
81.5 0 0 0 0 1 1 19 27 0 0
81.0 0 0 0 0 0 0 6 12 0 0
80.5 0 0 0 0 1 5 32 27 0 0
80.0 0 0 0 0 0 0 17 17 0 0
79.5 0 0 0 0 1 3 24 17 0 0
79.0 0 0 0 0 2 0 25 17 0 0
78.5 0 1 0 0 2 0 18 16 0 2
78.0 0 0 0 0 3 3 36 25 0 0
77.5 0 0 0 0 0 5 15 17 0 0
77.0 0 0 0 0 1 6 34 38 0 1
76.5 0 0 0 0 0 2 17 14 0 0
76.0 0 0 0 0 1 3 18 19 0 0
75.5 0 0 0 0 0 2 27 12 0 1
75.0 0 0 0 0 0 3 12 19 0 0
74.5 0 0 0 0 1 6 26 23 0 0
74.0 0 0 0 0 0 0 17 8 0 0
73.5 0 0 0 0 1 3 20 27 0 0
73.0 0 0 0 0 1 4 20 11 0 0
72.5 0 0 0 0 0 7 15 26 0 0
72.0 0 0 0 0 0 7 37 24 0 1
71.5 0 0 0 0 2 5 22 17 0 0
71.0 0 0 0 0 1 3 26 20 0 1
70.5 0 0 0 0 0 2 13 8 0 0
70.0 0 0 0 0 3 2 23 18 0 0
69.5 0 0 0 0 0 3 30 13 0 0
69.0 0 0 0 0 2 3 23 11 0 0
68.5 0 0 0 0 2 7 28 16 0 0
68.0 0 0 0 0 0 4 20 17 1 0
67.5 0 0 0 0 1 2 21 14 0 0
67.0 0 0 0 0 0 3 19 17 0 0
66.5 0 0 0 0 1 7 14 16 0 1
66.0 0 0 0 0 1 4 29 26 0 0
65.5 0 0 0 0 2 2 20 8 0 0
65.0 0 0 0 0 0 5 32 16 0 0
64.5 0 0 0 0 1 1 18 17 0 0
64.0 0 0 0 0 1 0 16 13 0 0
63.5 0 0 0 0 0 2 22 15 0 2
63.0 0 0 0 0 0 0 18 12 0 1
62.5 0 0 0 0 0 2 12 14 0 0
62.0 0 0 0 0 0 1 15 9 0 1
61.5 0 0 0 0 0 1 19 11 0 0
61.0 0 0 0 0 0 2 15 5 0 0
60.5 0 0 0 0 0 2 14 9 0 1
60.0 0 0 0 0 1 2 22 16 0 0
59.5 0 0 0 0 0 5 15 6 0 0
59.0 0 0 0 0 1 4 11 9 0 0
58.5 0 0 0 0 1 3 7 8 0 0
58.0 0 0 0 0 1 2 8 11 0 0
57.5 0 0 0 0 0 4 12 12 0 0
57.0 0 0 0 0 1 1 8 4 0 0
56.5 0 0 0 0 0 1 9 5 0 0
56.0 0 0 0 0 0 1 14 10 0 0
55.5 0 0 0 0 0 3 7 9 0 0
55.0 0 0 0 0 0 2 3 6 0 0
54.5 0 0 0 0 0 0 10 5 1 0
54.0 0 0 0 0 2 3 10 8 0 0
53.5 0 0 0 0 0 2 8 4 0 0
53.0 0 0 0 0 1 1 16 5 0 0
52.5 0 0 0 0 0 0 9 3 0 0
52.0 0 0 0 0 0 0 4 4 0 0
51.5 0 0 0 0 0 1 9 2 0 0
51.0 0 0 0 0 0 0 3 0 0 0
50.5 0 0 0 0 0 1 6 5 0 0
50.0 0 0 0 0 0 1 10 4 0 0
49.5 0 0 0 0 1 1 5 2 0 0
49.0 0 0 0 0 0 0 7 1 0 1
48.5 0 0 0 0 0 1 2 3 0 0
48.0 0 0 0 0 0 2 8 11 0 0
47.5 0 0 0 0 0 0 7 3 0 0
47.0 0 0 0 0 1 1 3 1 0 1
46.5 0 0 0 0 0 0 4 3 0 0
46.0 0 0 0 0 0 1 3 1 0 0
45.5 0 0 0 0 0 0 1 2 0 0
45.0 0 0 0 0 0 1 2 0 0 0
44.5 0 0 0 0 1 0 5 3 0 2
44.0 0 0 0 0 0 0 3 4 0 1
43.5 0 0 0 0 0 0 1 2 0 0
43.0 0 0 0 0 0 1 3 1 0 0
42.5 0 0 0 0 0 0 3 0 0 0
42.0 0 0 0 0 0 1 5 4 0 0
41.5 0 0 0 0 0 1 0 0 0 0
41.0 0 0 0 0 1 1 0 0 0 0
40.5 0 0 0 0 0 1 1 2 0 0
40.0 0 0 0 0 0 0 2 1 0 0
39.5 0 0 0 0 0 0 1 3 0 0
39.0 0 0 0 0 0 0 0 2 0 0
38.5 0 0 0 0 1 0 2 3 0 0
38.0 0 0 0 0 0 0 0 2 0 0
37.5 0 0 0 0 0 0 1 1 0 0
37.0 0 0 0 0 0 1 1 0 0 0
36.5 0 0 0 0 0 0 2 2 0 0
36.0 0 0 0 0 0 1 3 6 0 0
35.5 0 0 0 0 0 1 2 2 0 0
35.0 0 0 0 0 0 0 1 1 0 0
34.5 0 0 0 0 0 0 0 1 0 0
34.0 0 0 0 0 0 0 0 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 3 0 0 0
32.0 0 0 0 0 0 0 0 0 0 0
31.5 0 0 0 0 0 0 1 2 0 0
31.0 0 0 0 0 0 0 1 0 0 0
30.5 0 0 0 0 0 0 1 0 0 0
30.0 0 0 0 0 0 0 2 2 0 2
29.5 0 0 0 0 0 0 1 0 0 0
29.0 0 0 0 0 0 0 0 0 0 0
28.5 0 0 0 0 0 0 0 0 0 0
28.0 0 0 0 0 0 0 0 0 0 0
27.5 0 0 0 0 0 0 0 0 0 0
27.0 0 0 0 0 0 0 1 0 0 0
26.5 0 0 0 0 0 0 0 1 0 0
26.0 0 0 0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0 2 0 1
23.5 0 0 0 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 2 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 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 0 1 0 0
17.5 0 0 0 0 0 0 0 0 0 0
17.0 0 0 0 0 0 0 0 0 0 0
16.5 0 0 0 0 0 0 0 0 0 0
16.0 0 0 0 0 0 0 0 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 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 Pennsylvania
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 0.40 1.37 0.59 5.73* 0.39 1.51 0.00
2 0.04 9.22* 0.08 0.49 0.01 0.17 0.00
3 0.30 2.56 0.28 5.22* 0.17 1.47 0.00
4 5.72* 0.13 0.16 3.11 0.06 0.82 0.00
5 0.20 0.07 0.10 0.15 8.22* 1.26 0.00
6 1.02 2.17 4.09* 0.39 0.51 1.81 0.00
7 1.62 2.53* 0.88 1.68 0.25 3.03 0.00
8 0.71 0.31 0.24 0.17 7.85* 0.72 0.00
9 0.27 0.71 1.33 3.11* 0.19 4.39 0.00
10 0.41 0.83 0.41 3.57* 0.16 4.63 0.00
11 0.64 0.68 1.38* 0.36 0.90 6.03 0.00
12 0.12 0.19 0.50 0.42 6.57* 2.20 0.00
13 0.41 0.46 0.61 1.11 4.55* 2.87 0.00
14 0.72 0.38 0.50 4.68* 0.94 2.78 0.00
15 0.25 0.21 0.83* 0.14 0.24 8.32 0.00
16 0.61 0.53 3.76* 0.38 0.86 3.87 0.00
17 0.53 0.81* 0.34 0.68 0.19 7.45 0.00
18 0.10 0.40* 0.22 0.16 0.23 8.89 0.00
19 0.52 0.54 0.86 1.04* 0.43 6.62 0.00
20 0.39* 0.23 0.52 1.14 0.13 7.60 0.00
21 0.66 0.30 0.21 0.67* 1.31 6.84 0.00
22 0.55 0.49 0.34* 0.55 0.16 7.90 0.00
23 0.17 0.31* 0.19 0.14 0.19 8.99 0.00
24 0.15 1.60* 0.68 0.12 0.15 7.29 0.00
25 0.53 0.34 0.12* 0.07 1.44 7.49 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 Pennsylvania
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 5 2
149.0 0 0 124.0 5 0 99.0 7 4
148.5 0 0 123.5 0 0 98.5 4 9
148.0 0 0 123.0 2 0 98.0 6 2
147.5 0 0 122.5 1 0 97.5 4 0
147.0 0 0 122.0 1 0 97.0 14 9
146.5 0 0 121.5 1 0 96.5 4 4
146.0 0 0 121.0 0 0 96.0 14 7
145.5 0 0 120.5 2 2 95.5 5 3
145.0 0 0 120.0 0 0 95.0 7 4
144.5 0 0 119.5 1 1 94.5 22 7
144.0 1 0 119.0 0 0 94.0 7 4
143.5 0 0 118.5 0 2 93.5 13 15
143.0 1 0 118.0 1 1 93.0 5 0
142.5 0 0 117.5 0 0 92.5 14 15
142.0 0 0 117.0 1 0 92.0 16 5
141.5 0 0 116.5 0 0 91.5 7 8
141.0 0 0 116.0 2 0 91.0 10 10
140.5 0 0 115.5 2 0 90.5 10 4
140.0 0 0 115.0 1 0 90.0 19 13
139.5 0 0 114.5 5 0 89.5 8 4
139.0 0 0 114.0 0 0 89.0 15 6
138.5 0 0 113.5 2 3 88.5 12 9
138.0 1 0 113.0 0 0 88.0 13 8
137.5 0 0 112.5 5 2 87.5 15 8
137.0 1 0 112.0 1 1 87.0 5 8
136.5 0 0 111.5 2 0 86.5 15 23
136.0 0 0 111.0 5 2 86.0 10 4
135.5 0 0 110.5 0 0 85.5 21 19
135.0 0 0 110.0 2 1 85.0 15 12
134.5 0 0 109.5 0 0 84.5 9 11
134.0 0 0 109.0 5 3 84.0 19 8
133.5 0 0 108.5 3 0 83.5 6 8
133.0 0 0 108.0 3 1 83.0 12 14
132.5 0 1 107.5 9 3 82.5 12 8
132.0 1 0 107.0 3 0 82.0 11 11
131.5 0 0 106.5 0 7 81.5 13 12
131.0 1 0 106.0 4 0 81.0 10 11
130.5 0 0 105.5 4 0 80.5 24 18
130.0 0 0 105.0 9 1 80.0 8 8
129.5 0 0 104.5 2 2 79.5 23 19
129.0 0 1 104.0 6 5 79.0 13 8
128.5 0 0 103.5 6 1 78.5 15 10
128.0 0 0 103.0 10 1 78.0 17 13
127.5 1 0 102.5 6 2 77.5 14 11
127.0 0 0 102.0 11 6 77.0 19 11
126.5 1 0 101.5 10 1 76.5 18 7
126.0 0 0 101.0 5 2 76.0 6 15
125.5 3 0 100.5 7 3 75.5 6 11
American Mathematics Competitions
2003 AMC 10 B Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 11 15 50.0 3 1 25.0 0 0
74.5 13 15 49.5 2 1 24.5 0 0
74.0 10 3 49.0 1 4 24.0 0 0
73.5 4 13 48.5 2 1 23.5 0 0
73.0 12 9 48.0 5 1 23.0 0 0
72.5 11 10 47.5 1 3 22.5 0 0
72.0 14 16 47.0 1 1 22.0 0 0
71.5 10 9 46.5 0 2 21.5 0 0
71.0 10 7 46.0 0 1 21.0 0 0
70.5 3 8 45.5 0 1 20.5 1 0
70.0 5 10 45.0 2 0 20.0 0 0
69.5 12 5 44.5 1 3 19.5 0 0
69.0 11 14 44.0 0 1 19.0 0 0
68.5 7 18 43.5 0 3 18.5 0 0
68.0 11 9 43.0 1 1 18.0 0 0
67.5 9 8 42.5 1 0 17.5 0 0
67.0 4 7 42.0 2 3 17.0 0 0
66.5 9 15 41.5 0 2 16.5 0 0
66.0 7 14 41.0 2 0 16.0 0 0
65.5 2 8 40.5 0 1 15.5 0 0
65.0 7 15 40.0 1 1 15.0 0 0
64.5 4 11 39.5 0 0 14.5 0 0
64.0 1 8 39.0 0 0 14.0 0 0
63.5 2 8 38.5 1 0 13.5 0 0
63.0 8 8 38.0 0 0 13.0 0 0
62.5 8 13 37.5 1 1 12.5 0 0
62.0 4 12 37.0 0 0 12.0 0 0
61.5 8 7 36.5 0 2 11.5 0 0
61.0 5 5 36.0 6 0 11.0 0 0
60.5 5 5 35.5 1 2 10.5 0 0
60.0 8 11 35.0 0 0 10.0 0 0
59.5 8 3 34.5 0 0 9.5 0 0
59.0 4 2 34.0 1 0 9.0 0 0
58.5 4 3 33.5 0 0 8.5 0 0
58.0 7 6 33.0 0 0 8.0 0 0
57.5 2 10 32.5 0 0 7.5 0 0
57.0 2 6 32.0 0 0 7.0 0 0
56.5 5 8 31.5 0 0 6.5 0 0
56.0 5 2 31.0 0 0 6.0 0 0
55.5 3 2 30.5 0 0 5.5 0 0
55.0 3 2 30.0 2 3 5.0 0 0
54.5 0 7 29.5 0 0 4.5 0 0
54.0 8 7 29.0 0 0 4.0 0 0
53.5 3 2 28.5 0 1 3.5 0 0
53.0 3 2 28.0 0 0 3.0 0 0
52.5 5 0 27.5 0 0 2.5 0 0
52.0 2 5 27.0 1 0 2.0 0 0
51.5 4 7 26.5 0 0 1.5 0 0
51.0 1 4 26.0 0 0 1.0 0 0
50.5 2 6 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 10 B Results for Pennsylvania
SCORE DISTRIBUTION
score -----------grade-----------
5 6 7 8 9 10 unknown
---------------------------
150.0 0 0 0 0 1 0 0
149.5 0 0 0 0 0 0 0
149.0 0 0 0 0 0 0 0
148.5 0 0 0 0 0 0 0
148.0 0 0 0 0 0 0 0
147.5 0 0 0 0 0 0 0
147.0 0 0 0 0 0 0 0
146.5 0 0 0 0 0 0 0
146.0 0 0 0 0 0 0 0
145.5 0 0 0 0 0 0 0
145.0 0 0 0 0 0 0 0
144.5 0 0 0 0 0 0 0
144.0 0 0 0 0 0 1 0
143.5 0 0 0 0 0 0 0
143.0 0 0 0 0 0 1 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 1 0
137.5 0 0 0 0 0 0 0
137.0 0 0 0 0 1 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 1 0 0
132.0 0 0 0 0 0 1 0
131.5 0 0 0 0 0 0 0
131.0 0 0 0 0 0 1 0
130.5 0 0 0 0 0 0 0
130.0 0 0 0 0 0 0 0
129.5 0 0 0 0 0 0 0
129.0 0 0 0 0 0 1 0
128.5 0 0 0 0 0 0 1
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 1 0
126.0 0 0 0 0 0 0 0
125.5 0 0 0 0 1 2 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 2 3 0
123.5 0 0 0 0 0 0 0
123.0 0 0 0 0 1 1 0
122.5 0 0 0 0 1 0 0
122.0 0 0 0 0 1 0 0
121.5 0 0 0 1 0 0 0
121.0 0 0 0 0 0 0 0
120.5 0 0 0 0 1 3 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 1 1 0
118.0 0 0 0 0 1 1 0
117.5 0 0 0 0 0 0 0
117.0 0 0 0 0 1 0 0
116.5 0 0 0 0 0 0 0
116.0 0 0 0 0 1 1 0
115.5 0 0 0 0 0 2 0
115.0 0 0 0 0 0 1 1
114.5 0 0 0 0 1 4 0
114.0 0 0 0 0 0 0 0
113.5 0 0 0 0 2 3 0
113.0 0 0 0 0 0 0 0
112.5 0 0 0 2 1 4 0
112.0 0 0 0 0 0 2 0
111.5 0 0 0 0 1 1 0
111.0 0 0 0 0 2 5 0
110.5 0 0 0 0 0 0 0
110.0 0 0 0 0 0 3 0
109.5 0 0 0 0 0 0 0
109.0 0 0 0 0 0 8 0
108.5 0 0 0 0 1 2 0
108.0 0 0 0 0 1 3 0
107.5 0 0 0 2 5 5 0
107.0 0 0 0 0 1 2 0
106.5 0 0 0 0 4 3 0
106.0 0 0 0 0 2 2 0
105.5 0 0 0 0 2 2 0
105.0 0 0 0 1 2 7 1
104.5 0 0 0 0 3 1 0
104.0 0 0 0 0 7 4 0
103.5 0 0 0 0 2 5 0
103.0 0 0 0 0 3 9 0
102.5 0 0 0 0 3 5 0
102.0 0 0 0 1 5 11 0
101.5 0 0 0 0 7 5 1
101.0 0 0 0 0 2 5 0
100.5 0 0 0 0 4 8 0
100.0 0 0 0 0 1 2 0
99.5 0 0 0 0 3 4 0
99.0 0 0 0 0 2 9 0
98.5 0 0 0 0 5 8 0
98.0 0 0 0 1 2 5 1
97.5 0 0 0 1 1 2 0
97.0 0 0 0 2 7 15 0
96.5 0 0 0 1 0 7 0
96.0 0 0 0 0 7 15 1
95.5 0 0 0 0 3 5 0
95.0 0 0 0 1 4 6 0
94.5 0 0 0 1 6 25 1
94.0 0 0 0 1 3 7 0
93.5 0 0 0 1 6 21 0
93.0 0 0 0 0 0 8 0
92.5 0 0 0 1 9 19 0
92.0 0 0 0 1 8 14 0
91.5 0 0 0 0 8 7 0
91.0 0 0 0 2 5 13 2
90.5 0 0 0 0 10 5 0
90.0 0 0 0 0 12 21 0
89.5 0 0 0 0 2 10 0
89.0 0 0 0 1 10 11 2
88.5 0 1 0 1 4 15 0
88.0 0 0 0 0 9 13 0
87.5 0 0 0 0 5 18 0
87.0 0 0 0 0 6 7 1
86.5 0 0 0 1 17 21 1
86.0 0 0 0 1 3 11 0
85.5 0 0 0 2 17 22 0
85.0 0 0 0 0 10 17 0
84.5 0 0 0 0 6 14 2
84.0 0 0 0 0 10 17 1
83.5 0 0 0 0 7 8 0
83.0 0 0 0 0 8 21 0
82.5 0 0 0 1 6 12 1
82.0 0 0 0 3 5 15 1
81.5 0 0 0 1 12 14 0
81.0 0 0 0 4 9 9 0
80.5 0 0 0 3 20 22 1
80.0 0 0 0 0 8 8 0
79.5 0 0 0 1 23 25 1
79.0 0 0 0 0 7 15 0
78.5 0 0 0 2 12 12 0
78.0 0 0 0 0 14 15 2
77.5 0 0 0 0 11 14 0
77.0 0 0 0 0 10 20 3
76.5 0 0 0 0 9 16 0
76.0 0 0 0 0 8 13 0
75.5 0 0 0 0 11 7 1
75.0 0 0 0 0 11 15 1
74.5 0 0 0 4 12 14 1
74.0 0 0 0 0 8 6 0
73.5 0 1 0 1 9 8 1
73.0 0 0 0 1 9 11 1
72.5 0 0 0 1 10 11 2
72.0 0 0 0 1 11 20 0
71.5 0 0 0 0 8 10 4
71.0 0 0 0 1 12 4 1
70.5 0 0 0 0 6 6 0
70.0 0 0 1 1 5 9 1
69.5 0 0 0 0 7 10 0
69.0 0 0 0 0 8 17 0
68.5 0 0 0 0 12 14 0
68.0 0 0 0 2 7 10 2
67.5 0 0 0 1 8 10 1
67.0 0 0 0 0 6 7 1
66.5 0 0 0 3 7 15 0
66.0 0 0 1 0 6 14 2
65.5 0 0 0 0 5 6 1
65.0 0 0 0 3 12 8 3
64.5 0 0 0 0 9 6 0
64.0 0 0 0 0 5 4 0
63.5 0 0 0 1 4 6 0
63.0 0 0 0 0 11 6 0
62.5 0 0 0 0 9 12 0
62.0 0 0 0 0 7 9 0
61.5 0 0 0 0 8 7 0
61.0 0 0 0 0 4 6 0
60.5 0 0 0 0 4 7 0
60.0 0 0 0 0 5 14 1
59.5 0 0 0 1 5 5 0
59.0 0 0 0 0 3 3 0
58.5 0 0 0 0 4 3 0
58.0 0 0 0 1 5 6 1
57.5 0 0 0 0 7 6 1
57.0 0 0 0 0 5 3 0
56.5 0 0 0 0 3 10 1
56.0 0 0 0 0 5 2 0
55.5 0 0 0 0 1 4 0
55.0 0 0 0 0 2 3 0
54.5 0 0 0 0 2 5 0
54.0 0 0 0 0 8 8 0
53.5 0 0 0 0 3 2 1
53.0 0 0 0 0 1 4 1
52.5 0 0 0 1 3 1 1
52.0 0 0 0 0 2 5 0
51.5 0 0 0 0 6 5 0
51.0 0 0 0 0 2 3 0
50.5 0 0 0 0 5 3 0
50.0 0 0 0 0 1 3 0
49.5 0 0 0 0 2 1 0
49.0 0 0 0 0 2 3 0
48.5 0 0 0 0 1 1 2
48.0 0 0 0 0 0 7 0
47.5 0 0 0 0 0 4 0
47.0 0 0 0 0 0 2 0
46.5 0 0 0 0 0 2 0
46.0 0 0 0 0 0 1 0
45.5 0 0 0 0 1 0 0
45.0 0 0 0 0 1 2 0
44.5 0 0 0 0 1 3 0
44.0 0 0 0 0 0 1 0
43.5 0 0 0 0 2 1 0
43.0 0 0 0 0 2 0 0
42.5 0 0 0 0 0 2 0
42.0 0 0 0 0 4 2 1
41.5 0 0 0 1 0 1 0
41.0 0 0 0 0 0 2 0
40.5 0 0 0 0 0 1 0
40.0 0 0 0 0 1 1 0
39.5 0 0 0 0 0 0 0
39.0 0 0 0 0 0 0 0
38.5 0 0 0 0 0 1 0
38.0 0 0 0 0 0 0 0
37.5 0 0 0 0 0 2 0
37.0 0 0 0 0 0 0 0
36.5 0 0 0 0 1 1 0
36.0 0 0 0 0 0 6 0
35.5 0 0 0 0 3 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 1 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 1 0
30.0 0 0 0 0 2 3 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 1 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 1 0
26.5 0 0 0 0 0 0 0
26.0 0 0 0 0 0 0 0
25.5 0 0 0 0 0 0 0
25.0 0 0 0 0 0 0 0
24.5 0 0 0 0 0 0 0
24.0 0 0 0 0 0 0 0
23.5 0 0 0 0 0 0 0
23.0 0 0 0 0 0 0 0
22.5 0 0 0 0 0 0 0
22.0 0 0 0 0 0 0 0
21.5 0 0 0 0 0 0 0
21.0 0 0 0 0 0 0 0
20.5 0 0 0 0 0 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 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 Pennsylvania
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 0.03 0.08 9.68* 0.10 0.04 0.07 0.00
2 0.04 0.14 1.33 7.72* 0.33 0.44 0.00
3 0.34 6.93* 0.64 0.67 0.12 1.29 0.00
4 8.31* 0.20 0.27 0.09 0.24 0.89 0.00
5 0.31 0.36 3.86* 0.71 1.43 3.34 0.00
6 0.96 1.60 0.40 3.39* 0.45 3.20 0.00
7 0.43 5.37* 0.26 0.78 0.21 2.96 0.00
8 0.18 0.86* 0.42 0.66 0.52 7.34 0.00
9 0.31 2.39* 0.36 0.30 0.32 6.33 0.00
10 0.27 0.36 3.31* 1.05 0.42 4.60 0.00
11 4.67* 0.58 0.31 0.22 1.02 3.20 0.00
12 0.49 0.36 6.33* 0.19 0.35 2.30 0.00
13 2.37 0.56 0.29 0.68 1.22* 4.89 0.00
14 1.22 0.36 0.18 2.98* 0.11 5.14 0.00
15 1.61 2.03 0.24 0.87 3.21* 2.03 0.00
16 0.24 0.28 0.37 0.55 4.91* 3.65 0.00
17 0.18 1.26* 0.58 0.29 0.13 7.56 0.00
18 0.38 1.45 0.21 1.55* 1.51 4.89 0.00
19 0.14 0.17 0.34 0.42 0.34* 8.59 0.00
20 0.23 0.26 0.35 1.65* 1.14 6.36 0.00
21 1.68 0.36 0.50* 1.33 0.51 5.63 0.00
22 1.46 2.81* 1.62 0.71 0.36 3.04 0.00
23 0.25 0.31 0.35 1.15* 0.37 7.57 0.00
24 0.05 0.08 1.85 0.10 0.08* 7.84 0.00
25 0.92 2.69* 0.95 0.27 0.32 4.86 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 Pennsylvania
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 17 3
149.0 0 0 124.0 2 0 99.0 3 1
148.5 0 0 123.5 0 0 98.5 13 3
148.0 0 0 123.0 3 0 98.0 12 1
147.5 0 0 122.5 0 0 97.5 3 2
147.0 0 0 122.0 1 1 97.0 19 3
146.5 0 0 121.5 0 0 96.5 0 0
146.0 0 0 121.0 0 0 96.0 26 8
145.5 0 0 120.5 1 0 95.5 7 0
145.0 0 0 120.0 0 0 95.0 33 8
144.5 0 0 119.5 1 2 94.5 13 2
144.0 1 0 119.0 1 0 94.0 3 5
143.5 0 0 118.5 4 1 93.5 23 8
143.0 1 0 118.0 2 0 93.0 3 0
142.5 0 0 117.5 0 0 92.5 33 9
142.0 0 0 117.0 1 1 92.0 7 2
141.5 0 0 116.5 0 0 91.5 13 9
141.0 0 0 116.0 7 0 91.0 18 2
140.5 0 0 115.5 0 0 90.5 7 0
140.0 0 0 115.0 3 0 90.0 23 7
139.5 2 0 114.5 1 1 89.5 7 2
139.0 0 0 114.0 0 0 89.0 42 14
138.5 0 0 113.5 6 1 88.5 15 3
138.0 0 0 113.0 1 0 88.0 15 19
137.5 0 0 112.5 9 0 87.5 22 8
137.0 1 0 112.0 0 0 87.0 6 6
136.5 0 0 111.5 3 1 86.5 39 23
136.0 0 0 111.0 6 0 86.0 8 4
135.5 0 0 110.5 0 0 85.5 20 12
135.0 0 0 110.0 6 0 85.0 17 4
134.5 0 0 109.5 1 0 84.5 12 9
134.0 0 0 109.0 4 3 84.0 40 20
133.5 1 0 108.5 0 0 83.5 15 8
133.0 0 0 108.0 7 2 83.0 52 25
132.5 1 0 107.5 3 1 82.5 10 5
132.0 1 0 107.0 0 0 82.0 23 20
131.5 0 0 106.5 10 2 81.5 20 14
131.0 1 1 106.0 0 0 81.0 9 7
130.5 0 0 105.5 9 3 80.5 43 28
130.0 3 0 105.0 2 1 80.0 11 9
129.5 0 0 104.5 8 3 79.5 23 24
129.0 2 0 104.0 6 1 79.0 14 9
128.5 0 0 103.5 0 0 78.5 21 18
128.0 0 0 103.0 16 4 78.0 36 19
127.5 0 0 102.5 0 0 77.5 9 10
127.0 0 0 102.0 12 3 77.0 58 40
126.5 6 0 101.5 5 0 76.5 14 6
126.0 1 0 101.0 9 1 76.0 25 28
125.5 0 1 100.5 18 3 75.5 30 16
American Mathematics Competitions
2003 AMC 12 B Results for Pennsylvania
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 14 20 50.0 4 2 25.0 0 0
74.5 49 25 49.5 5 3 24.5 0 0
74.0 12 11 49.0 0 3 24.0 1 1
73.5 28 34 48.5 0 1 23.5 0 0
73.0 19 21 48.0 8 7 23.0 0 0
72.5 31 22 47.5 1 2 22.5 0 0
72.0 45 20 47.0 2 8 22.0 0 0
71.5 14 18 46.5 4 1 21.5 0 0
71.0 51 37 46.0 3 3 21.0 0 0
70.5 13 17 45.5 2 0 20.5 0 0
70.0 20 33 45.0 2 2 20.0 0 0
69.5 23 18 44.5 4 3 19.5 0 0
69.0 22 23 44.0 1 7 19.0 0 0
68.5 27 23 43.5 0 0 18.5 0 0
68.0 16 7 43.0 3 3 18.0 0 0
67.5 24 23 42.5 1 0 17.5 0 0
67.0 19 10 42.0 6 7 17.0 0 0
66.5 18 27 41.5 2 2 16.5 0 0
66.0 32 23 41.0 1 2 16.0 0 0
65.5 4 21 40.5 2 1 15.5 0 0
65.0 29 32 40.0 0 0 15.0 0 0
64.5 11 6 39.5 0 1 14.5 0 0
64.0 18 14 39.0 0 0 14.0 0 0
63.5 11 18 38.5 1 0 13.5 0 1
63.0 12 13 38.0 2 0 13.0 0 0
62.5 24 22 37.5 1 0 12.5 0 0
62.0 8 16 37.0 0 0 12.0 0 0
61.5 20 18 36.5 1 1 11.5 0 0
61.0 18 9 36.0 5 5 11.0 0 0
60.5 5 11 35.5 0 1 10.5 0 0
60.0 24 26 35.0 1 0 10.0 0 0
59.5 7 5 34.5 0 0 9.5 0 0
59.0 21 24 34.0 0 0 9.0 0 0
58.5 8 12 33.5 0 0 8.5 0 0
58.0 7 11 33.0 0 3 8.0 0 0
57.5 9 13 32.5 0 0 7.5 0 0
57.0 2 9 32.0 0 0 7.0 0 0
56.5 11 13 31.5 0 0 6.5 0 0
56.0 10 3 31.0 0 0 6.0 0 0
55.5 7 9 30.5 1 0 5.5 0 0
55.0 9 10 30.0 3 3 5.0 0 0
54.5 8 5 29.5 0 0 4.5 0 0
54.0 15 10 29.0 0 0 4.0 0 0
53.5 2 6 28.5 0 0 3.5 0 0
53.0 7 9 28.0 0 1 3.0 0 0
52.5 3 7 27.5 0 0 2.5 0 0
52.0 4 3 27.0 0 1 2.0 0 0
51.5 3 7 26.5 0 0 1.5 0 0
51.0 3 7 26.0 0 0 1.0 0 0
50.5 4 6 25.5 0 0 0.5 0 0
0.0 0 0
American Mathematics Competitions
2003 AMC 12 B Results for Pennsylvania
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 1 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 1 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 2 0 0 0
139.0 0 0 0 0 0 0 0 0 0 0
138.5 0 0 0 0 0 0 0 0 0 0
138.0 0 0 0 0 0 0 0 0 0 0
137.5 0 0 0 0 0 0 0 0 0 0
137.0 0 0 0 0 0 0 0 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 1 0 0 0 0
133.0 0 0 0 0 0 0 0 0 0 0
132.5 0 0 0 0 1 0 0 0 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 2 0 0
130.5 0 0 0 0 0 0 0 0 0 0
130.0 0 0 0 0 1 2 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 1 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 1 0 3 2 0 0
126.0 0 0 0 0 0 0 0 1 0 0
125.5 0 0 0 0 0 0 1 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 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 2 1 0 0
122.5 0 0 0 0 0 0 0 0 0 0
122.0 0 0 0 0 0 0 0 2 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 1 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 1 0 0 0
118.5 0 0 0 0 0 0 5 1 0 0
118.0 0 0 0 0 0 0 1 1 0 1
117.5 0 0 0 0 0 0 0 0 0 0
117.0 0 0 0 0 1 0 0 1 0 0
116.5 0 0 0 0 0 0 0 0 0 0
116.0 0 0 0 0 0 0 2 5 0 0
115.5 0 0 0 0 0 0 0 0 0 0
115.0 0 0 0 0 0 1 0 2 0 0
114.5 0 0 0 0 0 0 2 0 0 0
114.0 0 0 0 0 0 0 0 0 0 0
113.5 0 0 0 0 0 2 2 3 0 0
113.0 0 0 0 0 0 0 0 1 0 0
112.5 0 0 0 0 0 0 5 3 0 1
112.0 0 0 0 0 0 0 0 0 0 0
111.5 0 0 0 0 0 1 0 3 0 0
111.0 0 0 0 0 0 1 2 3 0 0
110.5 0 0 0 0 0 0 0 0 0 0
110.0 0 0 0 0 0 0 5 1 0 0
109.5 0 0 0 0 1 0 0 0 0 0
109.0 0 0 0 0 0 1 4 2 0 0
108.5 0 0 0 0 0 0 0 0 0 0
108.0 0 0 0 0 0 0 3 6 0 0
107.5 0 0 0 0 0 0 3 1 0 0
107.0 0 0 0 0 0 0 0 0 0 0
106.5 0 0 0 0 0 1 6 4 0 2
106.0 0 0 0 0 0 0 0 0 0 0
105.5 0 0 0 0 0 1 4 6 0 1
105.0 0 0 0 0 0 0 0 3 0 0
104.5 0 0 0 0 0 0 4 7 0 0
104.0 0 0 0 0 0 0 3 4 0 0
103.5 0 0 0 0 0 0 0 0 0 0
103.0 0 0 0 0 0 0 13 8 0 0
102.5 0 0 0 0 0 0 0 0 0 0
102.0 0 0 0 0 0 0 5 11 0 1
101.5 0 0 0 0 1 0 1 3 0 0
101.0 0 0 0 0 0 1 5 4 0 0
100.5 0 0 0 0 0 2 8 12 0 0
100.0 0 0 0 0 0 0 0 0 0 0
99.5 0 0 0 0 1 2 11 9 0