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Missing Title
American Mathematics Competitions
2006 AMC 10 A Results for Wisconsin
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 704
Number of unofficial participants: 25
Average score of participants: 77.4
Average score for female students is: 73.8 ( 294 Students)
Average score for male students is: 80.8 ( 342 Students)
Average score for unspecified gender is 75.8 ( 68 Students)
Average score for grade 10 is: 78.3 ( 408 Students)
Average score for grade 9 is: 77.3 ( 229 Students)
Average score for grade 8 and below is: 73.0 ( 29 Students)
Average score with unknown grade: 72.5 ( 38 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 20
Number of schools returning results 50
Average school winning score 103.33
American Mathematics Competitions
2006 AMC 12 A Results for Wisconsin
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1241
Number of unofficial participants: 45
Average score of participants: 84.1
Average score for female students is: 80.2 ( 433 Students)
Average score for male students is: 86.9 ( 687 Students)
Average score for unspecified gender is 81.8 ( 121 Students)
Average score for grade 12 is: 86.7 ( 520 Students)
Average score for grade 11 is: 81.5 ( 528 Students)
Average score for grade 10 is: 84.8 ( 94 Students)
Average score for grade 9 is: 84.6 ( 20 Students)
Average score for grade 8 and below is: 102.0 ( 1 Student)
Average score with unknown grade: 82.9 ( 78 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 228
Number of schools returning results 62
Average school winning score 109.16
Average school team score 304.91
American Mathematics Competitions
2006 AMC 10 B Results for Wisconsin
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 213
Number of unofficial participants: 0
Average score of participants: 67.1
Average score for female students is: 63.2 ( 102 Students)
Average score for male students is: 70.7 ( 95 Students)
Average score for unspecified gender is 70.6 ( 16 Students)
Average score for grade 10 is: 70.6 ( 112 Students)
Average score for grade 9 is: 61.0 ( 90 Students)
Average score for grade 8 and below is: 105.8 ( 3 Students)
Average score with unknown grade: 71.3 ( 8 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 2
Number of schools returning results 12
Average school winning score 97.63
American Mathematics Competitions
2006 AMC 12 B Results for Wisconsin
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 375
Number of unofficial participants: 0
Average score of participants: 84.8
Average score for female students is: 78.8 ( 162 Students)
Average score for male students is: 89.7 ( 198 Students)
Average score for unspecified gender is 84.4 ( 15 Students)
Average score for grade 12 is: 87.7 ( 156 Students)
Average score for grade 11 is: 81.8 ( 181 Students)
Average score for grade 10 is: 87.1 ( 28 Students)
Average score for grade 9 is: 85.6 ( 5 Students)
Average score with unknown grade: 86.8 ( 5 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 57
Number of schools returning results 19
Average school winning score 108.76
Average school team score 293.50
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
392.5 1 1
390.0 1 2
366.0 1 3
362.5 1 4
356.5 2 5
345.0 2 7
339.5 1 9
338.5 3 10
337.5 2 13
335.0 1 15
332.5 1 16
331.5 2 17
330.0 1 19
328.0 1 20
325.5 1 21
324.5 2 22
324.0 1 24
323.5 2 2 25
321.0 1 2 29
320.5 1 32
319.5 1 33
318.5 1 34
317.5 1 35
317.0 1 36
313.0 1 37
312.5 1 38
312.0 1 39
311.0 1 40
309.5 1 41
309.0 1 42
308.5 1 43
307.0 1 44
305.5 1 45
303.0 1 46
302.5 1 47
301.0 1 48
300.0 2 49
299.0 1 51
297.5 1 52
297.0 1 53
296.5 1 54
294.0 3 55
292.0 1 58
291.0 1 59
288.5 1 60
288.0 1 61
287.0 1 62
285.5 1 1 63
282.0 1 65
281.5 1 66
279.0 2 67
277.0 1 69
270.5 1 70
270.0 1 71
264.5 1 72
264.0 1 73
261.0 1 74
258.5 1 75
248.5 1 76
235.0 1 77
225.0 1 78
120.5 1 79
110.0 1 80
90.0 1 81
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
146.5 1
143.0 1 1
140.5 1
136.0 1
133.5 2
132.5 2
131.0 1
130.0 1
128.5 2
127.5 1 1
126.5 1
125.5 1 1
125.0 1
123.0 1 3
122.0 2 2 1
121.5 1 4
120.5 3 1
119.5 3 1
118.5 9 1
117.0 3 1 1
116.0 4 1 2
115.5 3
115.0 5 1 1
114.5 2 2
113.5 4 1 3 1
112.5 17 1 2
112.0 1
111.5 3 3 1 1
111.0 6 4
110.0 15 1 3
109.5 1
109.0 12 2 1 1
108.5 1 1 1 2
108.0 7 4 1 1
107.5 4 1 4
106.5 25 3 3 1
106.0 4
105.5 8 5 2 1
105.0 6 1
104.5 1 3 1 1
104.0 8 1 2 1
103.0 23 4 2 1
102.5 2 1
102.0 20 6 2
101.5 6 1
101.0 3 10 2
100.5 20 1 6
99.5 13 7 6
99.0 2 4
98.5 9 11 3
98.0 18 7
97.5 2 1 2
97.0 23 7 7 1
96.5 2 1 3
96.0 21 9 7 2
95.5 9 1 5
95.0 16 11 2
94.5 21 1 9 2
94.0 3 1 2
93.5 21 3 7 1
93.0 2 3
92.5 14 9 7 2
92.0 13 5
91.5 6 10 6 2
91.0 24 4 6 1
90.5 3 3 1
90.0 28 11 6
89.5 12 5 1
89.0 23 15 8 1
88.5 17 1 1 2
88.0 8 4 7 1
87.5 15 5 5 2
87.0 4 3 6
86.5 20 10 9 1
86.0 14 1 3
85.5 9 3 2
85.0 17 5 10 2
84.5 6 2 7
84.0 18 8 8 2
83.5 6 4 3
83.0 22 11 8 3
82.5 19 3
82.0 8 7 7 1
81.5 18 1 5 3
81.0 11 3 2 2
80.5 14 6 8
80.0 11 2 11 2
79.5 14 5 13 3
79.0 13 2 11 2
78.5 7 4 9 2
78.0 24 7 10 4
77.5 10 4 4
77.0 24 12 7 3
76.5 15 2 8 1
76.0 11 6 11
75.5 16 1 11 2
75.0 8 6 3 3
74.5 13 8 11 4
74.0 7 3 9 1
73.5 12 3 3 4
73.0 16 3 9 1
72.5 9 1 11 4
72.0 10 4 4 4
71.5 8 2 8
71.0 15 3 13 6
70.5 10 3 5
70.0 7 3 4 2
69.5 10 4 5
69.0 3 1 6 1
68.5 15 1 10 1
68.0 12 4 12 1
67.5 6 1 9 3
67.0 9 1 3
66.5 7 4 7 4
66.0 14 8 4
65.5 2 2 5
65.0 3 2 7 4
64.5 5 4 1
64.0 5 1 6 4
63.5 8 1 6 3
63.0 4 3 10 2
62.5 8 2 8 3
62.0 7 1 3 2
61.5 4 1 2 3
61.0 9 5 2
60.5 1 1 11 1
60.0 11 1 6 3
59.5 6 2 7
59.0 2 1 1 6
58.5 6 3 1
58.0 4 2 3
57.5 4 1 1 2
57.0 3 1 5 3
56.5 4 1 5 2
56.0 1 3
55.5 2 3 2 3
55.0 2 6
54.5 1 7 3
54.0 10 5 9 1
53.5 1 4 1
53.0 5 2 3
52.5 3 2
52.0 3 4 4
51.5 2 5 3
51.0 2
50.5 4 1 3 2
50.0 1 1 3
49.5 2 1
49.0 2
48.5 1 4 1
48.0 2 3 7 2
47.5 2 3 2
47.0 2 1 1
46.5 2 1
46.0 1 1
45.5 1 1
45.0 2
44.5 2 1
44.0 2
43.5 1
43.0 1 2
42.0 5 1 4 1
41.0 2 1
40.5 2
40.0 1 3
39.0 1 1
38.5 1 1
38.0 1
37.5 1 1
37.0 1
36.0 3 1 7
35.5 2
35.0 1
34.5 1
34.0 2 1
33.0 1
32.0 1
31.5 1 1
30.5 1
30.0 1 4
29.5 1
28.5 1
28.0 1
26.5 1
26.0 1
25.5 1
24.0 2
20.5 1
19.5 1
18.0 1
13.5 1
American Mathematics Competitions
2006 AMC 10 A Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 1 100.0
149.5 124.5 99.5 5
149.0 124.0 99.0 3 1
148.5 123.5 98.5 3
148.0 123.0 2 1 98.0 5 1
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 6 1
146.5 121.5 3 96.5 3
146.0 121.0 96.0 5 1
145.5 120.5 3 95.5 5
145.0 120.0 95.0 1 1
144.5 119.5 94.5 5 2
144.0 119.0 94.0 2
143.5 118.5 93.5 5 2
143.0 1 118.0 93.0 3
142.5 117.5 92.5 4 2
142.0 117.0 1 92.0 4
141.5 116.5 91.5 3 3
141.0 116.0 1 1 91.0 6
140.5 1 115.5 1 1 90.5 1
140.0 115.0 1 90.0 4 2
139.5 114.5 2 89.5 4 1
139.0 114.0 89.0 4 3
138.5 113.5 2 88.5 1
138.0 113.0 88.0 2 4
137.5 112.5 1 1 87.5 3 1
137.0 112.0 87.0 4 2
136.5 111.5 1 86.5 5 2
136.0 111.0 4 86.0 1 2
135.5 110.5 85.5 1 1
135.0 110.0 2 1 85.0 6 3
134.5 109.5 1 84.5 4 3
134.0 109.0 1 84.0 5 3
133.5 1 1 108.5 83.5 2
133.0 108.0 1 83.0 4 4
132.5 107.5 1 3 82.5 1 2
132.0 107.0 82.0 4 3
131.5 106.5 3 81.5 3 2
131.0 1 106.0 3 81.0 1 1
130.5 105.5 1 80.5 3 5
130.0 105.0 80.0 5 5
129.5 104.5 1 79.5 1 11
129.0 104.0 1 79.0 7 4
128.5 2 103.5 78.5 5 4
128.0 103.0 1 1 78.0 4 5
127.5 102.5 1 77.5 2 2
127.0 102.0 2 77.0 3 3
126.5 101.5 1 76.5 5 3
126.0 101.0 1 76.0 2 8
125.5 1 100.5 2 3 75.5 5 5
American Mathematics Competitions
2006 AMC 10 A Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 1 50.0 1 25.0
74.5 3 8 49.5 1 24.5
74.0 2 5 49.0 24.0
73.5 1 2 48.5 2 2 23.5
73.0 4 4 48.0 4 2 23.0
72.5 4 4 47.5 3 22.5
72.0 1 3 47.0 22.0
71.5 5 2 46.5 1 21.5
71.0 6 5 46.0 1 21.0
70.5 1 4 45.5 20.5 1
70.0 2 2 45.0 20.0
69.5 3 1 44.5 19.5
69.0 4 2 44.0 2 19.0
68.5 4 4 43.5 18.5
68.0 7 4 43.0 18.0 1
67.5 3 4 42.5 17.5
67.0 1 42.0 1 3 17.0
66.5 2 5 41.5 16.5
66.0 3 5 41.0 1 16.0
65.5 3 2 40.5 15.5
65.0 1 6 40.0 3 15.0
64.5 4 39.5 14.5
64.0 3 39.0 1 14.0
63.5 4 2 38.5 13.5
63.0 1 7 38.0 13.0
62.5 3 3 37.5 12.5
62.0 1 1 37.0 12.0
61.5 1 36.5 11.5
61.0 2 3 36.0 2 3 11.0
60.5 5 4 35.5 10.5
60.0 3 3 35.0 10.0
59.5 1 6 34.5 9.5
59.0 1 34.0 9.0
58.5 3 33.5 8.5
58.0 2 33.0 8.0
57.5 1 32.5 7.5
57.0 3 2 32.0 7.0
56.5 3 2 31.5 6.5
56.0 1 1 31.0 6.0
55.5 1 30.5 1 5.5
55.0 4 2 30.0 4 5.0
54.5 3 3 29.5 4.5
54.0 4 4 29.0 4.0
53.5 4 28.5 3.5
53.0 28.0 3.0
52.5 2 27.5 2.5
52.0 2 2 27.0 2.0
51.5 2 3 26.5 1.5
51.0 26.0 1.0
50.5 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 A Results for Wisconsin
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
143.0 1
140.5 1
133.5 1 1
131.0 1
128.5 1 1
125.5 1
125.0 1
123.0 3
122.0 1
121.5 2 2
120.5 1 2
117.0 1
116.0 2
115.5 2 1
115.0 1
114.5 1 1
113.5 3
112.5 1 1
111.5 1
111.0 3 1
110.0 1 2
109.5 1
109.0 1
108.5 1
108.0 1
107.5 4
106.5 2 1
106.0 2 1 1
105.5 1 1
105.0 1
104.5 1
104.0 1 1
103.0 1 1
102.5 1
102.0 1 1
101.5 1
101.0 1 1
100.5 3 3
99.5 2 4
99.0 1 3
98.5 1 2
98.0 1 5 1
97.5 1 1
97.0 3 4
96.5 2 1
96.0 2 5
95.5 1 1 3
95.0 2
94.5 4 4 1
94.0 2
93.5 2 5
93.0 1 2
92.5 1 4 2
92.0 2 2 1
91.5 1 3 2
91.0 2 4
90.5 1
90.0 2 4
89.5 5
89.0 4 4
88.5 1
88.0 3 3 1
87.5 5
87.0 3 3
86.5 2 6 1
86.0 1 2
85.5 2
85.0 4 5 1
84.5 3 4
84.0 1 1 6
83.5 3
83.0 2 6
82.5 3
82.0 4 3
81.5 1 1 3
81.0 1 1
80.5 1 7
80.0 4 6 1
79.5 4 9
79.0 3 8
78.5 1 5 3
78.0 3 6 1
77.5 1 3
77.0 1 1 5
76.5 2 5 1
76.0 1 4 6
75.5 1 1 8 1
75.0 1 2
74.5 3 8
74.0 2 5 2
73.5 2 1
73.0 2 6 1
72.5 4 6 1
72.0 2 2
71.5 1 1 6
71.0 2 2 7 2
70.5 4 1
70.0 1 3
69.5 1 1 2 1
69.0 2 4
68.5 1 4 3 2
68.0 1 11
67.5 1 1 5 2
67.0 1
66.5 1 1 5
66.0 2 6
65.5 2 3
65.0 3 4
64.5 2 2
64.0 2 4
63.5 1 3 2
63.0 5 3 2
62.5 1 3 3 1
62.0 3
61.5 1 1
61.0 1 1 3
60.5 3 7 1
60.0 3 3
59.5 1 6
59.0 1
58.5 2 1
58.0 1 1
57.5 1
57.0 2 2 1
56.5 2 3
56.0 1 1 1
55.5 1 1
55.0 2 4
54.5 2 4 1
54.0 2 6 1
53.5 1 3
53.0 1 1
52.5 2
52.0 1 1 2
51.5 1 2 2
50.5 1 2
50.0 1
49.5 1
48.5 1 3
48.0 3 3 1
47.5 1 2
47.0 1
46.5 1
46.0 1
44.0 2
42.0 3 1
41.0 1 1
40.0 3
39.0 1
36.0 4 1 2
30.5 1
30.0 2 2
20.5 1
18.0 1
American Mathematics Competitions
2006 AMC 10 A Results for Wisconsin
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.89* 0.00 0.04 0.03 0.01 0.03 0.00
2 0.84 0.17 2.09* 0.18 2.43 4.29 0.00
3 0.07 7.90* 0.10 0.16 1.61 0.17 0.00
4 1.93 0.21 0.13 0.16 6.88* 0.70 0.00
5 0.31 1.04 1.19 6.79* 0.27 0.40 0.00
6 0.26 7.67* 0.37 0.10 0.04 1.56 0.00
7 7.32* 0.10 0.31 0.30 0.34 1.63 0.00
8 0.88 0.47 0.45 0.17 2.09* 5.94 0.00
9 1.39 1.26 5.65* 0.23 0.36 1.11 0.00
10 0.44 0.34 0.84 2.39 0.81* 5.18 0.00
11 1.31 1.43 1.85* 0.64 0.80 3.98 0.00
12 0.89 0.43 4.36* 1.15 0.44 2.73 0.00
13 0.34 1.09 0.40 4.97* 0.14 3.05 0.00
14 1.62 3.88* 0.43 1.12 0.61 2.34 0.00
15 0.87 0.47 0.40 1.46* 0.71 6.09 0.00
16 0.26 0.21 0.37 0.53* 0.87 7.77 0.00
17 2.12* 0.44 0.37 0.47 0.26 6.35 0.00
18 1.78 0.31 3.27* 0.47 0.34 3.84 0.00
19 0.54 1.63 0.99* 0.31 0.18 6.34 0.00
20 0.51 1.26 0.34 0.47 0.48* 6.93 0.00
21 0.60 0.54 0.54 0.78 1.22* 6.32 0.00
22 0.16 0.89 3.28* 3.25 0.94 1.48 0.00
23 0.41 1.51* 0.17 0.40 0.44 7.03 0.04
24 0.99 0.43* 0.41 0.27 0.31 7.59 0.00
25 1.93 0.85 0.60* 0.50 0.45 5.67 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
2006 AMC 12 A Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 8 3
149.0 124.0 99.0 2
148.5 123.5 98.5 3 6
148.0 123.0 1 98.0 11 5
147.5 122.5 97.5 2
147.0 122.0 2 97.0 13 8
146.5 1 121.5 96.5 1
146.0 121.0 96.0 10 8
145.5 120.5 95.5 7 2
145.0 120.0 95.0 10 6
144.5 119.5 2 1 94.5 12 7
144.0 119.0 94.0 1 1
143.5 118.5 6 2 93.5 15 5
143.0 1 118.0 93.0 2
142.5 117.5 92.5 10 4
142.0 117.0 3 92.0 8 1
141.5 116.5 91.5 2 3
141.0 116.0 2 2 91.0 14 7
140.5 115.5 90.5 1 1
140.0 115.0 3 1 90.0 17 9
139.5 114.5 2 89.5 5 4
139.0 114.0 89.0 13 8
138.5 113.5 3 88.5 11 4
138.0 113.0 88.0 4 4
137.5 112.5 13 3 87.5 8 7
137.0 112.0 87.0 3
136.5 111.5 1 2 86.5 10 9
136.0 111.0 5 1 86.0 12
135.5 110.5 85.5 4 5
135.0 110.0 10 2 85.0 10 6
134.5 109.5 84.5 3 2
134.0 109.0 12 84.0 10 6
133.5 108.5 1 83.5 1 3
133.0 108.0 4 3 83.0 10 11
132.5 1 1 107.5 3 1 82.5 11 4
132.0 107.0 82.0 4 3
131.5 106.5 18 5 81.5 10 6
131.0 106.0 81.0 4 6
130.5 105.5 7 1 80.5 6 6
130.0 1 105.0 3 2 80.0 6 2
129.5 104.5 1 79.5 4 10
129.0 104.0 7 1 79.0 8 5
128.5 103.5 78.5 2 3
128.0 103.0 17 5 78.0 11 12
127.5 1 102.5 77.5 4 4
127.0 102.0 13 6 77.0 12 10
126.5 1 101.5 5 1 76.5 7 7
126.0 101.0 2 76.0 2 8
125.5 1 100.5 14 6 75.5 10 4
American Mathematics Competitions
2006 AMC 12 A Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 5 50.0 1 25.0
74.5 6 6 49.5 2 24.5
74.0 6 1 49.0 24.0 2
73.5 5 6 48.5 1 23.5
73.0 6 8 48.0 2 23.0
72.5 2 7 47.5 2 22.5
72.0 5 4 47.0 2 22.0
71.5 6 2 46.5 1 21.5
71.0 11 4 46.0 21.0
70.5 6 3 45.5 1 20.5
70.0 4 45.0 1 20.0
69.5 3 6 44.5 19.5
69.0 3 44.0 19.0
68.5 6 5 43.5 18.5
68.0 6 5 43.0 1 18.0
67.5 4 1 42.5 17.5
67.0 3 4 42.0 3 2 17.0
66.5 1 5 41.5 16.5
66.0 6 7 41.0 16.0
65.5 1 1 40.5 15.5
65.0 2 1 40.0 15.0
64.5 2 3 39.5 14.5
64.0 1 3 39.0 14.0
63.5 3 4 38.5 1 13.5
63.0 1 2 38.0 1 13.0
62.5 5 3 37.5 1 12.5
62.0 6 1 37.0 12.0
61.5 1 3 36.5 11.5
61.0 4 5 36.0 3 11.0
60.5 1 35.5 2 10.5
60.0 9 1 35.0 10.0
59.5 2 2 34.5 1 9.5
59.0 1 1 34.0 1 9.0
58.5 1 4 33.5 8.5
58.0 2 2 33.0 8.0
57.5 1 2 32.5 7.5
57.0 1 2 32.0 7.0
56.5 3 1 31.5 1 6.5
56.0 1 31.0 6.0
55.5 2 30.5 5.5
55.0 1 30.0 5.0
54.5 1 29.5 4.5
54.0 5 3 29.0 4.0
53.5 28.5 3.5
53.0 2 2 28.0 3.0
52.5 1 2 27.5 2.5
52.0 2 1 27.0 2.0
51.5 1 26.5 1 1.5
51.0 26.0 1.0
50.5 2 2 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for Wisconsin
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
146.5 1
143.0 1
132.5 2
130.0 1
127.5 1
126.5 1
125.5 1
123.0 1
122.0 1 1
119.5 2 1
118.5 2 6 1
117.0 1 2
116.0 1 3
115.0 1 3 1
114.5 2
113.5 3 1
112.5 1 9 6 1
111.5 1 1 1
111.0 1 5
110.0 2 11 2
109.0 1 3 8
108.5 1
108.0 4 3
107.5 3 1
106.5 2 9 13 1
105.5 3 5
105.0 2 4
104.5 1
104.0 4 4
103.0 1 9 12 1
102.5 1 1
102.0 1 6 7 5 1
101.5 1 3 2
101.0 2 1
100.5 11 9
99.5 1 4 7 1
99.0 2
98.5 1 4 3 1
98.0 1 9 7 1
97.5 1 1
97.0 3 9 10 1
96.5 1 1
96.0 1 8 11 1
95.5 1 1 1 6
95.0 9 7
94.5 12 8 1
94.0 3
93.5 2 6 12 1
93.0 2
92.5 1 3 9 1
92.0 2 5 4 2
91.5 3 2 1
91.0 2 10 10 2
90.5 2 1
90.0 2 12 13 1
89.5 1 4 4 3
89.0 5 10 7 1
88.5 3 6 7 1
88.0 1 1 2 4
87.5 1 8 6
87.0 3 1
86.5 2 2 6 10
86.0 1 5 6 2
85.5 1 1 5 2
85.0 1 8 7 1
84.5 2 3 1
84.0 7 9 2
83.5 3 1 2
83.0 1 1 8 11 1
82.5 9 9 1
82.0 1 1 1 4 1
81.5 8 8 2
81.0 1 2 7 1
80.5 7 5 2
80.0 1 3 4 3
79.5 1 2 4 7
79.0 1 4 8
78.5 2 1 2 2
78.0 3 15 5 1
77.5 3 5 2
77.0 1 10 11 2
76.5 2 7 6
76.0 1 1 8 1
75.5 6 9 1
75.0 6 1 1
74.5 1 5 6 1
74.0 1 6
73.5 1 6 5
73.0 2 6 7 1
72.5 1 5 3
72.0 1 1 8
71.5 3 4 1
71.0 1 9 5
70.5 2 7 1
70.0 4 1 2
69.5 6 4
69.0 2 1
68.5 4 5 4 2
68.0 1 2 6 3
67.5 1 2 2 1
67.0 2 1 5 1
66.5 3 4
66.0 1 10 3
65.5 1 1
65.0 2 1
64.5 4 1
64.0 2 2 1
63.5 5 3
63.0 1 2 1
62.5 1 3 4
62.0 1 3 3
61.5 3 1
61.0 1 1 3 4
60.5 1
60.0 6 5
59.5 1 2 1 2
59.0 2
58.5 1 2 2 1
58.0 1 1 2
57.5 2 1 1
57.0 1 1 1
56.5 1 3
56.0 1
55.5 1 1
55.0 1 1
54.5 1
54.0 1 7 2
53.0 4 1
52.5 3
52.0 2 1
51.5 1 1
50.5 3 1
50.0 1
49.5 2
48.5 1
48.0 1 1
47.5 2
47.0 1 1
46.5 1 1
45.5 1
45.0 2
43.0 1
42.0 4 1
40.0 1
38.5 1
38.0 1
37.5 1
36.0 3
35.5 2
34.5 1
34.0 2
31.5 1
26.5 1
24.0 1 1
American Mathematics Competitions
2006 AMC 12 A Results for Wisconsin
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.94* 0.01 0.02 0.02 0.00 0.01 0.00
2 1.22 0.15 3.86* 0.10 1.13 3.54 0.00
3 0.06 8.80* 0.02 0.03 1.02 0.06 0.00
4 1.52 0.10 0.04 0.09 8.07* 0.17 0.01
5 0.18 0.60 0.92 8.01* 0.11 0.18 0.00
6 7.46* 0.06 0.41 0.28 0.24 1.55 0.00
7 0.82 5.00* 0.80 0.61 0.49 2.27 0.00
8 0.88 1.10 6.96* 0.22 0.12 0.73 0.00
9 8.25* 0.16 0.08 0.03 0.27 1.21 0.00
10 0.17 0.20 0.79 3.46 2.09* 3.28 0.01
11 1.52 1.31 2.25* 1.04 0.59 3.30 0.00
12 1.48 5.54* 0.23 0.70 0.28 1.76 0.00
13 0.44 0.11 0.30 0.15 5.50* 3.51 0.00
14 0.06 0.57 5.37* 2.35 0.41 1.23 0.00
15 3.23* 1.59 0.35 0.50 1.62 2.71 0.00
16 0.39 3.71* 0.20 0.27 0.53 4.90 0.00
17 0.39 0.54* 0.56 0.52 0.13 7.86 0.00
18 1.52 0.13 0.23 0.83 0.48* 6.81 0.00
19 0.15 0.19 0.32 0.20 0.25* 8.90 0.00
20 2.50 0.72 0.68* 0.34 0.15 5.62 0.00
21 0.07 0.15 0.42 0.18 0.22* 8.96 0.00
22 0.22 0.19 0.15 0.20* 0.11 9.12 0.00
23 0.13 0.10* 0.26 0.15 0.23 9.14 0.00
24 1.32 0.28 0.25 0.35* 0.22 7.57 0.00
25 0.18 0.20 0.22 0.22 0.23* 8.96 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
2006 AMC 10 B Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5
149.0 124.0 99.0
148.5 123.5 98.5
148.0 123.0 98.0
147.5 122.5 97.5
147.0 122.0 97.0 1
146.5 121.5 96.5
146.0 121.0 96.0 1
145.5 120.5 1 95.5
145.0 120.0 95.0
144.5 119.5 94.5 2
144.0 119.0 94.0
143.5 118.5 93.5 1
143.0 118.0 93.0
142.5 117.5 92.5 1 1
142.0 117.0 92.0
141.5 116.5 91.5 1
141.0 116.0 91.0
140.5 115.5 90.5
140.0 115.0 90.0
139.5 114.5 89.5 1
139.0 114.0 89.0 1
138.5 113.5 1 88.5 1
138.0 113.0 88.0 1
137.5 112.5 87.5 1 1
137.0 112.0 87.0
136.5 111.5 1 86.5 1
136.0 1 111.0 86.0
135.5 110.5 85.5
135.0 110.0 85.0 2
134.5 109.5 84.5
134.0 109.0 1 84.0 1 1
133.5 108.5 2 83.5
133.0 108.0 1 83.0 3
132.5 107.5 82.5
132.0 107.0 82.0 1
131.5 106.5 1 81.5 2
131.0 106.0 81.0 2
130.5 105.5 1 80.5
130.0 105.0 80.0 1
129.5 104.5 1 79.5 2 1
129.0 104.0 1 79.0 1
128.5 103.5 78.5 2
128.0 103.0 1 78.0 3 1
127.5 102.5 77.5
127.0 102.0 77.0 2 1
126.5 101.5 76.5 1
126.0 101.0 76.0
125.5 100.5 75.5 1 1
American Mathematics Competitions
2006 AMC 10 B Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 1 50.0 2 25.0
74.5 2 2 49.5 24.5
74.0 1 49.0 2 24.0
73.5 2 2 48.5 1 23.5
73.0 1 48.0 1 1 23.0
72.5 1 2 47.5 1 1 22.5
72.0 1 3 47.0 1 22.0
71.5 46.5 21.5
71.0 3 3 46.0 21.0
70.5 45.5 1 20.5
70.0 2 45.0 20.0
69.5 44.5 1 19.5 1
69.0 1 44.0 19.0
68.5 1 43.5 1 18.5
68.0 1 43.0 1 1 18.0
67.5 2 1 42.5 17.5
67.0 1 2 42.0 17.0
66.5 3 1 41.5 16.5
66.0 2 1 41.0 1 16.0
65.5 40.5 1 1 15.5
65.0 2 2 40.0 15.0
64.5 1 39.5 14.5
64.0 1 2 39.0 1 14.0
63.5 2 1 38.5 1 13.5 1
63.0 1 38.0 13.0
62.5 1 2 37.5 1 12.5
62.0 1 1 37.0 1 12.0
61.5 3 36.5 11.5
61.0 1 1 36.0 11.0
60.5 1 35.5 10.5
60.0 1 2 35.0 1 10.0
59.5 34.5 9.5
59.0 2 4 34.0 1 9.0
58.5 1 33.5 8.5
58.0 1 1 33.0 1 8.0
57.5 1 1 32.5 7.5
57.0 2 1 32.0 1 7.0
56.5 1 1 31.5 1 6.5
56.0 31.0 6.0
55.5 1 2 30.5 5.5
55.0 30.0 5.0
54.5 2 29.5 1 4.5
54.0 1 29.0 4.0
53.5 1 28.5 1 3.5
53.0 1 2 28.0 1 3.0
52.5 27.5 2.5
52.0 3 27.0 2.0
51.5 1 2 26.5 1.5
51.0 1 1 26.0 1 1.0
50.5 1 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for Wisconsin
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
136.0 1
120.5 1
113.5 1
111.5 1
109.0 1
108.5 1 1
108.0 1
106.5 1
105.5 1
104.5 1
104.0 1
103.0 1
97.0 1
96.0 1 1
94.5 2
93.5 1
92.5 1 1
91.5 1 1
91.0 1
89.5 1
89.0 1
88.5 1 1
88.0 1
87.5 2
86.5 1
85.0 1 1
84.0 2
83.0 3
82.0 1
81.5 3
81.0 2
80.0 2
79.5 2 1
79.0 1 1
78.5 1 1
78.0 4
77.0 1 2
76.5 1
75.5 2
75.0 1 2
74.5 2 2
74.0 1
73.5 2 2
73.0 1
72.5 2 2
72.0 3 1
71.0 2 4
70.0 1 1
69.0 1
68.5 1
68.0 1
67.5 2 1
67.0 2 1
66.5 2 2
66.0 2 1 1
65.0 1 3
64.5 1
64.0 3 1
63.5 2 1
63.0 2
62.5 1 2
62.0 1 1
61.5 3
61.0 1 1
60.5 1
60.0 3
59.0 2 4
58.5 1
58.0 3
57.5 2
57.0 1 2
56.5 1 1
55.5 3
54.5 2 1
54.0 1
53.5 1
53.0 2 1
52.0 2 1 1
51.5 2 1
51.0 2
50.5 1 1
50.0 1 2
49.0 1 1
48.5 1
48.0 2
47.5 2
47.0 1
45.5 1
44.5 1
43.5 1
43.0 2
42.0 1
41.0 1
40.5 1 1
39.0 1
38.5 1
37.5 1
37.0 1
35.0 1
34.0 1
33.0 1
32.0 1
31.5 1
29.5 1
28.5 1
28.0 1
26.0 1
25.5 1
19.5 1
13.5 1
American Mathematics Competitions
2006 AMC 10 B Results for Wisconsin
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.42 0.42 5.63* 2.30 0.94 0.28 0.00
2 4.04* 0.85 0.05 0.00 0.19 4.88 0.00
3 7.70* 0.28 0.00 1.50 0.42 0.09 0.00
4 0.94 1.60 0.42 3.38* 2.44 1.22 0.00
5 0.66 5.40* 2.02 0.28 0.19 1.46 0.00
6 0.61 0.23 3.43 3.38* 0.42 1.92 0.00
7 2.49* 1.46 0.94 1.03 0.42 3.66 0.00
8 1.78 0.75* 0.19 1.36 0.33 5.59 0.00
9 0.09 8.08* 0.05 0.00 1.08 0.70 0.00
10 2.54* 0.38 1.08 0.19 2.82 3.00 0.00
11 0.33 0.70 2.82* 0.42 0.19 5.54 0.00
12 0.52 0.38 0.23 0.56 3.10* 5.21 0.00
13 0.80 0.14 2.63 0.61 2.44* 3.38 0.00
14 0.05 0.14 0.14 0.47* 0.00 9.20 0.00
15 0.85 0.09 1.31* 0.23 0.66 6.85 0.00
16 1.97 0.33 1.50 0.94 2.11* 3.15 0.00
17 2.68 1.22 1.60 3.05* 0.00 1.46 0.00
18 0.66 0.19 0.52 0.28 0.52* 7.84 0.00
19 0.19* 0.42 0.19 0.14 0.42 8.64 0.00
20 0.28 0.19 0.23 0.75 0.56* 7.98 0.00
21 0.23 0.28 0.52* 2.30 1.03 5.63 0.00
22 0.28 0.70 1.83 0.61* 0.14 6.43 0.00
23 0.19 0.89 0.47 0.19* 0.28 7.98 0.00
24 0.19 0.94* 0.56 0.19 0.19 7.93 0.00
25 0.19 1.41* 0.42 1.92 0.42 5.63 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
2006 AMC 12 B Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0
149.5 124.5 99.5 7
149.0 124.0 99.0
148.5 123.5 98.5 9 1
148.0 123.0 98.0
147.5 122.5 97.5 1
147.0 122.0 2 97.0 3 2
146.5 121.5 1 96.5 1
146.0 121.0 96.0 4 3
145.5 120.5 95.5 1
145.0 120.0 95.0 6 5
144.5 119.5 1 94.5 1
144.0 119.0 94.0 1
143.5 118.5 1 93.5 3
143.0 118.0 93.0
142.5 117.5 92.5 7 2
142.0 117.0 1 92.0
141.5 116.5 91.5 5 5
141.0 116.0 1 91.0 2 2
140.5 115.5 90.5 1 2
140.0 115.0 1 90.0 8 2
139.5 114.5 89.5
139.0 114.0 89.0 9 6
138.5 113.5 1 88.5 1
138.0 113.0 88.0 2 2
137.5 112.5 1 87.5 5
137.0 112.0 1 87.0 1 1
136.5 111.5 2 1 86.5 3 6
136.0 111.0 86.0 1
135.5 110.5 85.5 1 2
135.0 110.0 1 85.0 3 2
134.5 109.5 84.5 2
134.0 109.0 2 84.0 5 2
133.5 108.5 1 83.5 4
133.0 108.0 3 1 83.0 7 4
132.5 107.5 1 82.5
132.0 107.0 82.0 1 6
131.5 106.5 3 81.5 1
131.0 106.0 81.0 1 1
130.5 105.5 5 80.5 3 3
130.0 105.0 80.0 1
129.5 104.5 3 79.5 1 4
129.0 104.0 1 79.0 1 1
128.5 103.5 78.5 2 2
128.0 103.0 1 3 78.0 4 3
127.5 1 102.5 77.5 2 1
127.0 102.0 3 3 77.0 7 5
126.5 101.5 76.5 1 1
126.0 101.0 8 2 76.0 4 2
125.5 100.5 1 75.5 1
American Mathematics Competitions
2006 AMC 12 B Results for Wisconsin
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 5 50.0 25.0
74.5 3 5 49.5 24.5
74.0 2 49.0 24.0
73.5 2 1 48.5 23.5
73.0 2 1 48.0 3 23.0
72.5 1 47.5 22.5
72.0 2 2 47.0 22.0
71.5 2 46.5 21.5
71.0 1 2 46.0 1 21.0
70.5 1 2 45.5 20.5
70.0 1 2 45.0 20.0
69.5 1 3 44.5 2 19.5
69.0 1 44.0 19.0
68.5 1 43.5 18.5
68.0 3 1 43.0 18.0
67.5 1 42.5 17.5
67.0 42.0 1 17.0
66.5 1 2 41.5 16.5
66.0 41.0 16.0
65.5 2 40.5 15.5
65.0 2 40.0 15.0
64.5 39.5 14.5
64.0 1 39.0 14.0
63.5 1 38.5 13.5
63.0 3 38.0 13.0
62.5 1 1 37.5 12.5
62.0 1 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 1 11.0
60.5 1 35.5 10.5
60.0 1 35.0 10.0
59.5 1 1 34.5 9.5
59.0 1 34.0 9.0
58.5 33.5 8.5
58.0 33.0 8.0
57.5 1 32.5 7.5
57.0 1 32.0 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 2 30.5 5.5
55.0 30.0 1 5.0
54.5 29.5 4.5
54.0 5 29.0 4.0
53.5 1 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 27.0 2.0
51.5 26.5 1.5
51.0 26.0 1.0
50.5 1 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for Wisconsin
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
127.5 1
122.0 2
121.5 1
119.5 1
118.5 1
117.0 1
116.0 1
115.0 1
113.5 1
112.5 1
112.0 1
111.5 2 1
110.0 1
109.0 2
108.5 1
108.0 1 3
107.5 1
106.5 1 2
105.5 2 3
104.5 1 1 1
104.0 1
103.0 1 3
102.0 3 3
101.0 1 4 5
100.5 1
99.5 1 2 4
98.5 1 5 4 1
97.5 1
97.0 3 3 1
96.5 1
96.0 1 2 6
95.5 1
95.0 4 7
94.5 1
94.0 1
93.5 2 1
92.5 1 3 5
91.5 1 4 5
91.0 3 1
90.5 1 2
90.0 2 5 4
89.0 1 9 5
88.5 1
88.0 1 3
87.5 1 4
87.0 1 1 1
86.5 4 5 1
86.0 1
85.5 2 1
85.0 4 1
84.5 1 1
84.0 1 3 4
83.5 2 2
83.0 1 6 4
82.0 1 4 2
81.5 1
81.0 3
80.5 6
80.0 1 1
79.5 5
79.0 2
78.5 3 1
78.0 1 5 1
77.5 2 1 1
77.0 1 2 7 2
76.5 2
76.0 1 3 2
75.5 1
75.0 1 3 2
74.5 1 3 3 1
74.0 2 1
73.5 2 1
73.0 3
72.5 1
72.0 2 2
71.5 2
71.0 1 2
70.5 2 1
70.0 1 1 1
69.5 2 2
69.0 1
68.5 1
68.0 4
67.5 1
66.5 2 2
65.5 2
65.0 1 1
64.0 1
63.5 1
63.0 1 2
62.5 1 1
62.0 1
61.5 1
60.5 1
60.0 1
59.5 1 1
59.0 1
57.5 1
57.0 1
56.5 1
55.5 1 2
54.0 1 1 3
53.5 1
50.5 1
48.0 2 1
46.0 1
44.5 2
42.0 1
36.0 1
30.0 1
American Mathematics Competitions
2006 AMC 12 B Results for Wisconsin
Analysis
Table of Item Difficulty for the 2006
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.29 0.37 8.45* 0.61 0.16 0.11 0.00
2 7.04* 0.29 0.05 0.13 0.29 2.19 0.00
3 8.91* 0.08 0.00 0.83 0.16 0.03 0.00
4 9.28* 0.35 0.00 0.24 0.03 0.11 0.00
5 6.96* 0.67 0.32 0.19 0.11 1.76 0.00
6 0.05 9.17* 0.03 0.05 0.37 0.32 0.00
7 0.29 8.75* 0.21 0.45 0.05 0.24 0.00
8 0.08 0.27 0.29 0.32 6.40* 2.64 0.00
9 0.56 4.37* 0.35 0.67 0.45 3.60 0.00
10 2.96* 0.51 1.20 0.13 2.16 3.04 0.00
11 0.77 0.08 1.23 0.67 4.32* 2.93 0.00
12 0.59 0.35 0.32 0.96* 0.51 7.25 0.03
13 0.48 0.48 2.37* 0.27 0.53 5.87 0.00
14 0.21 0.59 1.79 2.21* 0.11 5.09 0.00
15 0.05 1.68* 0.83 0.32 0.19 6.93 0.00
16 0.21 0.24 0.88* 0.11 0.32 8.24 0.00
17 0.72 0.35 0.85* 1.39 0.19 6.51 0.00
18 0.43 0.88* 1.55 0.37 0.21 6.56 0.00
19 0.19 2.13* 0.13 1.39 0.21 5.95 0.00
20 0.16 0.35 0.37* 0.05 0.40 8.67 0.00
21 0.27 0.16 0.16* 0.03 0.21 9.17 0.00
22 0.08 0.40* 0.29 0.08 0.05 9.09 0.00
23 0.21 0.21 0.29 0.29 0.13* 8.85 0.00
24 0.32 0.11 0.08* 0.27 0.13 9.09 0.00
25 0.05 0.21* 0.29 0.37 0.13 8.93 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column
