American Mathematics Competitions
2006 AMC 10 A Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1523
Number of unofficial participants: 0
Average score of participants: 79.3
Average score for female students is: 77.3 ( 676 Students)
Average score for male students is: 81.0 ( 783 Students)
Average score for unspecified gender is 78.5 ( 64 Students)
Average score for grade 10 is: 81.4 ( 623 Students)
Average score for grade 9 is: 77.7 ( 482 Students)
Average score for grade 8 and below is: 78.2 ( 396 Students)
Average score with unknown grade: 74.9 ( 22 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 26
Number of schools returning results 60
Average school winning score 109.23
American Mathematics Competitions
2006 AMC 12 A Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1689
Number of unofficial participants: 0
Average score of participants: 87.0
Average score for female students is: 83.7 ( 738 Students)
Average score for male students is: 89.7 ( 868 Students)
Average score for unspecified gender is 87.2 ( 83 Students)
Average score for grade 13 is: 118.5 ( 1 Student)
Average score for grade 12 is: 88.1 ( 743 Students)
Average score for grade 11 is: 85.5 ( 841 Students)
Average score for grade 10 is: 92.1 ( 70 Students)
Average score for grade 9 is: 89.0 ( 8 Students)
Average score with unknown grade: 84.8 ( 26 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 399
Number of schools returning results 50
Average school winning score 110.50
Average school team score 312.99
American Mathematics Competitions
2006 AMC 10 B Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 822
Number of unofficial participants: 18
Average score of participants: 69.4
Average score for female students is: 63.9 ( 382 Students)
Average score for male students is: 75.0 ( 375 Students)
Average score for unspecified gender is 69.5 ( 65 Students)
Average score for grade 10 is: 72.5 ( 394 Students)
Average score for grade 9 is: 68.9 ( 285 Students)
Average score for grade 8 and below is: 62.4 ( 127 Students)
Average score with unknown grade: 55.0 ( 16 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 14
Number of schools returning results 35
Average school winning score 109.91
American Mathematics Competitions
2006 AMC 12 B Results for North Carolina
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 749
Number of unofficial participants: 10
Average score of participants: 89.1
Average score for female students is: 84.5 ( 278 Students)
Average score for male students is: 92.1 ( 430 Students)
Average score for unspecified gender is 89.3 ( 41 Students)
Average score for grade 12 is: 90.0 ( 338 Students)
Average score for grade 11 is: 87.0 ( 338 Students)
Average score for grade 10 is: 94.0 ( 52 Students)
Average score for grade 9 is: 101.9 ( 9 Students)
Average score for grade 8 and below is: 101.4 ( 5 Students)
Average score with unknown grade: 84.6 ( 7 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 179
Number of schools returning results 38
Average school winning score 110.76
Average school team score 306.97
2006 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
412.5 1 1
385.5 1 2
377.5 1 3
376.5 1 4
375.0 1 5
369.5 1 6
368.0 1 7
367.0 1 8
365.5 1 9
364.5 1 10
359.5 1 11
357.5 1 12
353.0 1 13
352.5 1 14
348.5 1 15
347.0 1 16
346.0 1 17
345.0 1 18
343.5 1 19
342.5 1 20
341.0 1 21
339.0 1 22
338.0 1 23
336.5 1 24
336.0 1 25
335.0 1 26
334.5 1 27
334.0 1 28
332.5 1 29
332.0 1 30
330.5 2 31
329.5 1 33
328.0 1 34
326.0 1 35
324.5 1 36
323.5 1 37
320.5 1 38
319.0 1 39
318.5 1 40
317.5 1 2 41
317.0 1 44
316.5 1 45
314.5 1 46
313.0 1 47
311.5 1 48
311.0 1 1 49
308.5 1 51
306.5 1 52
302.0 1 53
301.5 1 54
301.0 1 55
300.0 1 56
298.5 1 57
297.5 1 58
296.5 1 59
295.5 1 60
293.0 2 61
292.0 1 1 63
290.5 1 65
289.5 1 66
285.0 1 67
284.5 1 68
283.0 1 69
281.5 3 70
281.0 1 73
278.5 1 74
274.0 1 1 75
271.5 1 77
270.0 1 78
267.5 1 79
266.0 1 80
262.5 1 81
255.0 1 82
253.0 1 83
251.0 1 84
232.5 1 85
227.5 1 86
103.0 1 87
80.5 1 88
2006 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1 1
146.5 2
143.0 2
140.5 1
139.5 1
138.0 2
137.0 1 2
136.0 1 1
134.5 1
133.5 1 1
132.5 1 1
132.0 1
130.0 2 1 3
129.0 2 1
128.5 1
127.5 1
126.5 3 3 4
125.5 3 1 1
124.0 1
123.0 2 3 2 1
122.5 1
122.0 7 2 2 1
121.5 3
120.5 1
120.0 1
119.5 3 2 1 1
119.0 2
118.5 12 6 1
118.0 2
117.0 3 4 5 3
116.5 1
116.0 8 4 3
115.5 1
115.0 14 6 2
114.5 1 4 3
113.5 6 5 6 3
113.0 1 1
112.5 42 7 3 3
112.0 1
111.5 12 6 2
111.0 1 4 3
110.5 1
110.0 10 4 8 3
109.5 1 1
109.0 31 7 4 2
108.5 2 3 5 4
108.0 13 13 2
107.5 11 1 8 2
107.0 1
106.5 34 2 4 2
106.0 2 2
105.5 21 11 2 1
105.0 5 5 1
104.5 6 11 1 1
104.0 31 5 7 6
103.5 4
103.0 39 15 13 3
102.5 4 5 2
102.0 27 19 8
101.5 5 1 10 5
101.0 11 18 4 1
100.5 24 9 14 7
100.0 4 1
99.5 35 16 14 3
99.0 7 2 7 1
98.5 16 17 9 3
98.0 26 3 19 7
97.5 4 2 5 2
97.0 39 9 12 5
96.5 7 1
96.0 31 29 13 3
95.5 17 1 9 2
95.0 24 37 13 1
94.5 37 2 18 5
94.0 4 2 10
93.5 38 14 19 10
93.0 4 1 7
92.5 21 25 11 3
92.0 15 16 6
91.5 7 9 6
91.0 34 10 20 9
90.5 3 3 9 2
90.0 39 23 21 6
89.5 8 2 18 1
89.0 24 34 15 11
88.5 23 2 14 6
88.0 5 8 9 3
87.5 29 10 12
87.0 6 2 10 4
86.5 24 22 23 8
86.0 15 2 13 6
85.5 4 12 10 4
85.0 35 5 16 9
84.5 7 2 11 2
84.0 31 13 31 14
83.5 12 11 3
83.0 32 18 15 8
82.5 26 3 18 2
82.0 2 8 9 5
81.5 16 4 19 7
81.0 11 1 13 6
80.5 21 13 25 8
80.0 7 6 23 3
79.5 16 13 15 9
79.0 20 26 6
78.5 5 7 16
78.0 26 10 27 10
77.5 11 2 22 3
77.0 24 17 16 3
76.5 11 6 9 1
76.0 17 9 15 6
75.5 17 6 22 11
75.0 3 2 14 5
74.5 17 7 13 11
74.0 19 4 12 6
73.5 12 5 22 10
73.0 12 3 16 6
72.5 12 8 11 4
72.0 17 8 27 13
71.5 10 16 2
71.0 15 3 22 9
70.5 12 1 9 9
70.0 6 4 14 11
69.5 8 4 16 8
69.0 6 4 22 2
68.5 18 4 11 7
68.0 15 3 19 6
67.5 7 1 14 6
67.0 6 3 15 8
66.5 5 10 3
66.0 12 5 31 9
65.5 6 2 14 8
65.0 13 4 10 9
64.5 11 3 10 4
64.0 2 4 11 10
63.5 8 1 13 5
63.0 6 7 8
62.5 6 4 5 9
62.0 7 5 13 6
61.5 7 1 16 2
61.0 5 13 7
60.5 3 9 7
60.0 14 1 15 18
59.5 4 1 7 6
59.0 3 1 6 6
58.5 3 1 7 4
58.0 5 1 3 8
57.5 4 3 7 10
57.0 3 9 4
56.5 4 4 6 11
56.0 4 5 5
55.5 1 2 5 13
55.0 3 1 4 8
54.5 2 2 3 2
54.0 5 3 14 10
53.5 1 2 7 7
53.0 5 6 9
52.5 5 1 6 4
52.0 1 2 10
51.5 4 3 7
51.0 2 2 4 6
50.5 3 4 7
50.0 2 3 6
49.5 1 2 3
49.0 3 2 3
48.5 1 2
48.0 3 2 14 11
47.5 1 2 7
47.0 1 1 2 4
46.5 2 3
46.0 2 3
45.5 5
45.0 1 3 5
44.5 1 4
44.0 2 2 2
43.5 1 2 3
43.0 1 4 4
42.5 1 3
42.0 8 3 7 9
41.5 1 2
41.0 1 2
40.5 1 1 2
40.0 1 2 1
39.5 2
39.0 1 3
38.5 1 3
38.0 1 1
37.5 1 1
37.0 1 4
36.5 1 2 1
36.0 5 5 7
35.5 1
35.0 1 1
34.5 2
34.0 2
33.5 3
33.0 1
32.5 1 2
32.0 2
31.5 3
30.5 1
30.0 4 1 8
28.5 2
28.0 1 1
26.5 1 2
26.0 1
25.5 1
24.5 1
24.0 2 8
23.5 2
18.0 3
17.0 1
12.0 2
6.0 1
1
American Mathematics Competitions
2006 AMC 10 A Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 4
149.5 124.5 99.5 7 7
149.0 124.0 99.0 3 4
148.5 123.5 98.5 4 5
148.0 123.0 1 1 98.0 12 7
147.5 122.5 1 97.5 4 1
147.0 122.0 2 97.0 7 4
146.5 121.5 3 96.5 6 1
146.0 121.0 96.0 10 3
145.5 120.5 1 95.5 3 5
145.0 120.0 95.0 10 3
144.5 119.5 1 94.5 6 10
144.0 119.0 2 94.0 4 4
143.5 118.5 1 93.5 8 10
143.0 2 118.0 1 1 93.0 3 3
142.5 117.5 92.5 7 4
142.0 117.0 2 3 92.0 10 6
141.5 116.5 1 91.5 2 4
141.0 116.0 91.0 12 7
140.5 1 115.5 90.5 2 7
140.0 115.0 1 1 90.0 8 12
139.5 114.5 1 2 89.5 11 6
139.0 114.0 89.0 9 6
138.5 113.5 5 1 88.5 9 5
138.0 1 1 113.0 1 88.0 5 4
137.5 112.5 2 1 87.5 6 5
137.0 1 112.0 1 87.0 3 6
136.5 111.5 86.5 6 15
136.0 1 111.0 1 2 86.0 9 4
135.5 110.5 1 85.5 6 4
135.0 110.0 8 85.0 11 5
134.5 109.5 1 84.5 6 5
134.0 109.0 3 1 84.0 17 13
133.5 108.5 3 2 83.5 8 2
133.0 108.0 83.0 6 8
132.5 107.5 7 1 82.5 9 9
132.0 1 107.0 1 82.0 4 5
131.5 106.5 2 2 81.5 10 9
131.0 106.0 81.0 7 5
130.5 105.5 1 1 80.5 12 13
130.0 1 105.0 4 1 80.0 15 7
129.5 104.5 1 79.5 8 6
129.0 1 104.0 6 1 79.0 14 11
128.5 103.5 4 78.5 11 5
128.0 103.0 10 2 78.0 13 12
127.5 102.5 4 1 77.5 8 12
127.0 102.0 4 3 77.0 7 9
126.5 3 1 101.5 6 4 76.5 5 3
126.0 101.0 2 1 76.0 4 9
125.5 1 100.5 8 5 75.5 8 12
American Mathematics Competitions
2006 AMC 10 A Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 8 6 50.0 1 2 25.0
74.5 5 7 49.5 1 24.5
74.0 8 3 49.0 1 24.0
73.5 9 12 48.5 1 23.5
73.0 9 7 48.0 7 5 23.0
72.5 5 6 47.5 2 22.5
72.0 13 13 47.0 2 22.0
71.5 9 7 46.5 1 1 21.5
71.0 11 11 46.0 2 21.0
70.5 4 5 45.5 20.5
70.0 6 8 45.0 2 1 20.0
69.5 6 10 44.5 19.5
69.0 9 12 44.0 1 1 19.0
68.5 5 5 43.5 1 18.5
68.0 11 7 43.0 3 1 18.0
67.5 4 9 42.5 17.5
67.0 9 6 42.0 3 4 17.0
66.5 4 6 41.5 1 16.5
66.0 16 15 41.0 1 16.0
65.5 9 5 40.5 1 15.5
65.0 4 6 40.0 1 1 15.0
64.5 7 2 39.5 14.5
64.0 3 6 39.0 1 14.0
63.5 6 6 38.5 1 13.5
63.0 2 5 38.0 13.0
62.5 2 3 37.5 1 12.5
62.0 7 5 37.0 12.0
61.5 8 6 36.5 1 1 11.5
61.0 6 7 36.0 2 3 11.0
60.5 7 2 35.5 10.5
60.0 11 3 35.0 1 10.0
59.5 3 4 34.5 2 9.5
59.0 2 3 34.0 9.0
58.5 4 3 33.5 8.5
58.0 1 2 33.0 8.0
57.5 4 3 32.5 7.5
57.0 1 7 32.0 7.0
56.5 5 1 31.5 6.5
56.0 4 1 31.0 6.0
55.5 3 2 30.5 5.5
55.0 1 2 30.0 1 5.0
54.5 3 29.5 4.5
54.0 6 7 29.0 4.0
53.5 1 6 28.5 3.5
53.0 2 4 28.0 1 3.0
52.5 2 3 27.5 2.5
52.0 2 27.0 2.0
51.5 2 1 26.5 1 1.5
51.0 2 2 26.0 1.0
50.5 2 2 25.5 .5
0.0 1 0
American Mathematics Competitions
2006 AMC 10 A Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
143.0 1 1
140.5 1
138.0 1 1
137.0 1
136.0 1
132.5 1
132.0 1
130.0 1
129.0 1
126.5 4
125.5 1
123.0 1 1
122.5 1
122.0 1 1
121.5 3
120.5 1
119.5 1
119.0 2
118.5 1
118.0 2
117.0 2 3
116.5 1
115.0 2
114.5 1 1 1 1
113.5 2 4
113.0 1
112.5 1 1 1
112.0 1
111.0 2 1
110.5 1
110.0 1 7
109.5 1
109.0 2 2
108.5 1 1 3
107.5 2 2 4
107.0 1
106.5 1 3
105.5 1 1
105.0 2 3
104.5 1
104.0 1 3 3
103.5 2 2
103.0 1 3 2 7
102.5 1 3 1
102.0 3 1 3 1
101.5 1 3 2 4
101.0 1 3
100.5 3 6 5
100.0 1 2 1
99.5 5 4 5
99.0 1 3 3
98.5 2 1 2 4
98.0 2 4 4 9
97.5 1 3 1
97.0 1 2 4 5
96.5 1 1 1 4
96.0 1 5 7
95.5 1 1 3 3 1
95.0 2 2 6 3
94.5 2 10 6
94.0 5 5
93.5 10 9
93.0 1 1 3 2
92.5 3 8
92.0 1 6 9
91.5 2 1 3
91.0 1 2 3 7 7
90.5 1 1 3 4
90.0 2 4 5 10
89.5 2 1 7 8
89.0 3 3 5 4
88.5 2 2 3 6 1
88.0 1 7 1
87.5 1 1 3 6 1
87.0 1 2 2 5
86.5 6 10 6 1
86.0 1 1 1 3 7
85.5 2 1 5 2
85.0 5 4 7
84.5 4 3 4
84.0 3 6 13 9
83.5 2 4 1 3 1
83.0 1 3 10 1
82.5 1 8 4 5
82.0 2 1 2 4
81.5 1 2 5 11
81.0 2 6 5
80.5 1 5 5 14
80.0 2 2 6 4 9
79.5 5 4 6
79.0 1 1 9 4 11
78.5 1 1 5 9
78.0 3 7 9 7 1
77.5 2 6 7 7
77.0 2 3 4 7
76.5 1 3 5
76.0 1 4 4 6
75.5 1 9 5 7
75.0 1 4 3 6
74.5 1 1 7 4
74.0 1 1 3 2 5
73.5 2 4 8 8
73.0 1 3 7 5
72.5 1 1 3 2 4
72.0 1 7 7 10 2
71.5 7 3 6
71.0 2 8 4 8
70.5 2 3 4
70.0 2 5 7
69.5 1 5 10
69.0 6 4 12
68.5 1 2 4 1 3
68.0 2 7 10
67.5 3 5 6
67.0 1 1 8 5
66.5 2 4 4
66.0 10 9 11 1
65.5 5 4 5
65.0 3 7
64.5 1 2 2 3 2
64.0 1 2 7 1
63.5 4 4 4 1
63.0 3 1 3
62.5 1 4
62.0 1 4 4 3 1
61.5 1 5 5 5
61.0 1 4 3 5
60.5 4 2 3
60.0 5 5 4 1
59.5 1 4 1 1
59.0 2 2 2
58.5 1 3 3
58.0 1 2
57.5 5 2
57.0 1 3 5
56.5 3 2 1
56.0 3 1 1
55.5 2 2 1
55.0 2 2
54.5 1 2
54.0 7 3 4
53.5 4 3
53.0 1 2 3
52.5 4 2
52.0 2
51.5 1 2
51.0 1 1 2
50.5 1 2 1
50.0 1 2
49.5 1 1
49.0 1 1
48.5 1
48.0 1 4 6 2 1
47.5 1 1
47.0 2
46.5 2
46.0 1 1
45.0 1 2
44.0 1 1
43.5 1 1
43.0 2 2
42.0 1 2 3 1
41.5 1
41.0 1
40.5 1
40.0 1 1
39.0 1
38.5 1
37.5 1
36.5 1 1
36.0 1 4
35.0 1
34.5 1 1
30.0 1
28.0 1
26.5 1
1
American Mathematics Competitions
2006 AMC 10 A Results for North Carolina
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 9.91* 0.01 0.04 0.02 0.00 0.01 0.01
2 1.54 0.22 3.09* 0.12 1.81 3.22 0.01
3 0.05 8.77* 0.06 0.03 1.00 0.09 0.01
4 2.02 0.11 0.07 0.17 7.07* 0.54 0.01
5 0.21 0.97 1.09 7.15* 0.18 0.40 0.01
6 0.19 8.61* 0.26 0.08 0.03 0.84 0.00
7 7.43* 0.11 0.32 0.30 0.20 1.65 0.01
8 1.00 0.40 0.53 0.18 2.03* 5.85 0.01
9 1.59 1.32 5.86* 0.30 0.18 0.75 0.01
10 0.32 0.19 0.90 2.67 1.02* 4.89 0.02
11 1.88 1.25 1.24* 0.83 0.95 3.83 0.01
12 0.83 0.50 4.62* 1.04 0.37 2.61 0.01
13 0.29 0.95 0.29 5.60* 0.16 2.70 0.01
14 1.64 4.02* 0.24 0.84 0.75 2.50 0.01
15 0.85 0.52 0.39 1.59* 0.53 6.10 0.01
16 0.28 0.30 0.35 0.52* 0.76 7.78 0.01
17 2.14* 0.32 0.30 0.64 0.26 6.33 0.01
18 1.94 0.19 2.92* 0.32 0.20 4.42 0.01
19 0.47 1.74 0.91* 0.28 0.28 6.32 0.01
20 0.53 1.18 0.47 0.49 0.63* 6.67 0.02
21 0.77 0.65 0.49 0.64 1.20* 6.24 0.01
22 0.13 0.88 3.70* 3.41 0.79 1.08 0.01
23 0.56 1.87* 0.33 0.26 0.79 6.17 0.01
24 0.91 0.44* 0.34 0.31 0.38 7.61 0.01
25 2.28 0.93 0.58* 0.45 0.26 5.50 0.01
(*) 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 North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0
149.5 124.5 99.5 23 11
149.0 124.0 99.0 3 3
148.5 123.5 98.5 5 6
148.0 123.0 2 98.0 18 8
147.5 122.5 97.5 4
147.0 122.0 6 1 97.0 16 20
146.5 121.5 96.5
146.0 121.0 96.0 18 11
145.5 120.5 95.5 11 5
145.0 120.0 95.0 15 8
144.5 119.5 3 94.5 23 14
144.0 119.0 94.0 1 3
143.5 118.5 10 2 93.5 20 16
143.0 118.0 93.0 2 2
142.5 117.5 92.5 12 8
142.0 117.0 2 1 92.0 10 4
141.5 116.5 91.5 2 5
141.0 116.0 6 2 91.0 14 18
140.5 115.5 90.5 2 1
140.0 115.0 12 1 90.0 20 14
139.5 114.5 1 89.5 2 5
139.0 114.0 89.0 13 9
138.5 113.5 5 1 88.5 12 11
138.0 113.0 88.0 3 2
137.5 112.5 23 15 87.5 18 11
137.0 112.0 87.0 2 3
136.5 111.5 6 6 86.5 9 11
136.0 1 111.0 1 86.0 8 6
135.5 110.5 85.5 2 2
135.0 110.0 7 3 85.0 13 20
134.5 1 109.5 1 84.5 4 2
134.0 109.0 21 9 84.0 19 11
133.5 1 108.5 2 83.5 7 5
133.0 108.0 6 6 83.0 17 13
132.5 107.5 7 4 82.5 13 13
132.0 107.0 82.0 2
131.5 106.5 21 9 81.5 3 12
131.0 106.0 1 1 81.0 4 7
130.5 105.5 10 11 80.5 11 8
130.0 105.0 5 80.0 4 3
129.5 104.5 3 3 79.5 7 8
129.0 104.0 20 11 79.0 13 7
128.5 103.5 78.5 2 3
128.0 103.0 24 14 78.0 9 16
127.5 102.5 3 77.5 5 4
127.0 102.0 19 8 77.0 12 12
126.5 3 101.5 2 3 76.5 5 6
126.0 101.0 6 5 76.0 9 7
125.5 2 1 100.5 12 10 75.5 9 8
American Mathematics Competitions
2006 AMC 12 A Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 2 50.0 2 25.0
74.5 5 10 49.5 1 24.5
74.0 11 7 49.0 2 1 24.0 1 1
73.5 7 5 48.5 23.5
73.0 6 5 48.0 1 2 23.0
72.5 7 4 47.5 22.5
72.0 5 12 47.0 1 22.0
71.5 5 5 46.5 21.5
71.0 4 10 46.0 21.0
70.5 5 7 45.5 20.5
70.0 3 3 45.0 1 20.0
69.5 4 4 44.5 1 19.5
69.0 2 3 44.0 1 1 19.0
68.5 9 9 43.5 1 18.5
68.0 7 7 43.0 18.0
67.5 2 4 42.5 1 17.5
67.0 1 5 42.0 5 3 17.0
66.5 2 3 41.5 16.5
66.0 5 6 41.0 16.0
65.5 4 2 40.5 1 15.5
65.0 3 10 40.0 1 15.0
64.5 1 10 39.5 14.5
64.0 2 39.0 14.0
63.5 4 3 38.5 13.5
63.0 3 3 38.0 1 13.0
62.5 3 3 37.5 12.5
62.0 5 2 37.0 1 12.0
61.5 2 3 36.5 11.5
61.0 5 36.0 3 1 11.0
60.5 1 1 35.5 10.5
60.0 5 8 35.0 10.0
59.5 4 34.5 9.5
59.0 3 34.0 9.0
58.5 1 2 33.5 8.5
58.0 2 3 33.0 8.0
57.5 1 2 32.5 7.5
57.0 1 2 32.0 7.0
56.5 1 3 31.5 6.5
56.0 1 3 31.0 6.0 1
55.5 1 30.5 1 5.5
55.0 1 2 30.0 2 2 5.0
54.5 1 1 29.5 4.5
54.0 3 2 29.0 4.0
53.5 1 28.5 3.5
53.0 2 2 28.0 3.0
52.5 2 3 27.5 2.5
52.0 27.0 2.0
51.5 2 2 26.5 1.5
51.0 1 1 26.0 1.0
50.5 2 1 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 A Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
150.0 1
136.0 1
134.5 1
133.5 1
126.5 1 1 1
125.5 1 2
124.0 1
123.0 1 1
122.0 3 4
119.5 1 1 1
118.5 1 6 4 1
117.0 1 1 1
116.0 5 3
115.0 1 7 6
114.5 1
113.5 3 3
112.5 16 25 1
111.5 5 7
111.0 1
110.0 1 5 4
109.5 1
109.0 4 10 16 1
108.5 1 1
108.0 1 4 8
107.5 5 6
106.5 1 2 17 13 1
106.0 1 1
105.5 3 7 11
105.0 4 1
104.5 3 3
104.0 1 17 13
103.0 1 16 21 1
102.5 3 1
102.0 2 10 15
101.5 5
101.0 5 5 1
100.5 3 10 11
99.5 1 20 13 1
99.0 1 1 5
98.5 1 9 5 1
98.0 1 13 12
97.5 1 3
97.0 16 22 1
96.0 2 9 19 1
95.5 1 7 9
95.0 1 1 10 12
94.5 1 1 18 17
94.0 1 2 1
93.5 18 20
93.0 3 1
92.5 2 11 8
92.0 1 9 5
91.5 4 3
91.0 15 18 1
90.5 2 1
90.0 3 19 16 1
89.5 2 6
89.0 14 9 1
88.5 1 10 12
88.0 1 2 2
87.5 1 14 14
87.0 5 1
86.5 3 11 8 2
86.0 10 5
85.5 1 1 2
85.0 1 18 16
84.5 5 2
84.0 3 19 8 1
83.5 1 10 1
83.0 1 21 10
82.5 1 13 12
82.0 1 1
81.5 5 11
81.0 6 5
80.5 1 12 7 1
80.0 3 4
79.5 11 5
79.0 15 5
78.5 2 3
78.0 1 17 8
77.5 1 4 6
77.0 1 1 10 11 1
76.5 1 6 4
76.0 1 8 7 1
75.5 2 5 10
75.0 2 1
74.5 1 10 6
74.0 11 7 1
73.5 7 4 1
73.0 7 5
72.5 7 4 1
72.0 9 8
71.5 4 6
71.0 11 3 1
70.5 1 9 2
70.0 2 4
69.5 5 3
69.0 4 2
68.5 2 10 6
68.0 1 5 9
67.5 5 1 1
67.0 1 2 3
66.5 3 2
66.0 7 5
65.5 2 1 3
65.0 8 4 1
64.5 7 4
64.0 1 1
63.5 2 6
63.0 1 3 2
62.5 5 1
62.0 5 2
61.5 3 3 1
61.0 3 2
60.5 2 1
60.0 10 4
59.5 2 2
59.0 1 2
58.5 1 2
58.0 2 3
57.5 3 1
57.0 2 1
56.5 3 1
56.0 2 2
55.5 1
55.0 1 2
54.5 1 1
54.0 2 3
53.5 1
53.0 1 4
52.5 2 3
51.5 2 2
51.0 2
50.5 1 2
50.0 1 1
49.5 1
49.0 2 1
48.0 2 1
47.0 1
45.0 1
44.5 1
44.0 2
43.5 1
43.0 1
42.5 1
42.0 4 4
40.5 1
40.0 1
38.0 1
37.0 1
36.0 3 1 1
30.5 1
30.0 2 2
25.5 1
24.0 1 1
6.0 1
American Mathematics Competitions
2006 AMC 12 A Results for North Carolina
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 9.92* 0.02 0.04 0.01 0.00 0.01 0.00
2 1.84 0.14 5.48* 0.07 0.50 1.97 0.01
3 0.05 9.08* 0.02 0.04 0.76 0.05 0.01
4 1.39 0.10 0.07 0.11 8.10* 0.23 0.01
5 0.17 0.61 0.81 8.02* 0.11 0.29 0.01
6 7.47* 0.11 0.30 0.22 0.27 1.62 0.01
7 0.57 5.75* 0.86 0.47 0.37 1.97 0.01
8 0.93 1.24 6.94* 0.22 0.11 0.55 0.01
9 8.32* 0.12 0.05 0.07 0.34 1.10 0.01
10 0.22 0.13 0.73 3.51 2.30* 3.10 0.01
11 1.49 1.00 2.61* 0.88 0.57 3.44 0.01
12 1.44 5.62* 0.14 0.65 0.29 1.85 0.01
13 0.52 0.10 0.22 0.05 5.86* 3.24 0.01
14 0.07 0.52 5.25* 2.33 0.28 1.55 0.01
15 3.79* 1.45 0.22 0.56 1.43 2.54 0.01
16 0.25 4.30* 0.14 0.19 0.57 4.55 0.01
17 0.43 0.55* 0.47 0.39 0.11 8.05 0.01
18 1.37 0.09 0.29 0.64 0.44* 7.16 0.01
19 0.14 0.09 0.15 0.17 0.25* 9.19 0.01
20 1.83 0.59 0.56* 0.29 0.18 6.54 0.01
21 0.08 0.12 0.34 0.15 0.15* 9.14 0.01
22 0.15 0.11 0.15 0.14* 0.06 9.38 0.01
23 0.07 0.12* 0.13 0.12 0.21 9.35 0.01
24 0.86 0.14 0.17 0.23* 0.17 8.43 0.01
25 0.12 0.16 0.17 0.16 0.12* 9.27 0.01
(*) 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 North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 100.0 1
149.5 124.5 99.5 2
149.0 124.0 99.0 1
148.5 123.5 98.5 2 1
148.0 123.0 1 98.0 4 3
147.5 122.5 97.5 1 1
147.0 122.0 1 97.0 3 1
146.5 2 121.5 96.5 1
146.0 121.0 96.0 3
145.5 120.5 95.5 1
145.0 120.0 1 95.0 1
144.5 119.5 1 94.5 3 2
144.0 119.0 94.0
143.5 118.5 93.5 6 4
143.0 118.0 93.0
142.5 117.5 92.5 2
142.0 117.0 3 92.0 5
141.5 116.5 91.5
141.0 116.0 2 91.0 5 3
140.5 115.5 1 90.5 2
140.0 115.0 90.0 3 3
139.5 1 114.5 2 1 89.5 1
139.0 114.0 89.0 5 6
138.5 113.5 2 1 88.5 2 3
138.0 113.0 1 88.0 1 2
137.5 112.5 1 1 87.5
137.0 1 112.0 87.0 2 2
136.5 111.5 2 86.5 6 1
136.0 111.0 86.0 2 3
135.5 110.5 85.5 3 1
135.0 110.0 2 1 85.0 5 3
134.5 109.5 84.5 2
134.0 109.0 1 84.0 8 5
133.5 1 108.5 3 83.5 1 2
133.0 108.0 1 1 83.0 6 1
132.5 107.5 1 82.5 1 1
132.0 107.0 82.0 2 2
131.5 106.5 2 81.5 3 3
131.0 106.0 81.0 4 2
130.5 105.5 1 80.5 4 2
130.0 3 105.0 1 80.0 3
129.5 104.5 1 79.5 6 3
129.0 104.0 5 1 79.0 5
128.5 103.5 78.5
128.0 103.0 2 1 78.0 4 5
127.5 1 102.5 2 77.5 1 2
127.0 102.0 77.0 1 2
126.5 101.5 4 1 76.5 1
126.0 101.0 1 76.0 4 2
125.5 100.5 4 3 75.5 4 6
American Mathematics Competitions
2006 AMC 10 B Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 3 2 50.0 2 4 25.0
74.5 6 5 49.5 2 1 24.5 1
74.0 4 1 49.0 1 1 24.0 3 3
73.5 6 4 48.5 2 23.5 2
73.0 3 3 48.0 6 4 23.0
72.5 2 2 47.5 3 4 22.5
72.0 9 3 47.0 1 3 22.0
71.5 1 46.5 1 2 21.5
71.0 3 6 46.0 1 2 21.0
70.5 3 6 45.5 2 3 20.5
70.0 3 6 45.0 2 3 20.0
69.5 3 4 44.5 4 19.5
69.0 2 44.0 1 1 19.0
68.5 5 2 43.5 3 18.5
68.0 1 3 43.0 2 2 18.0 3
67.5 3 2 42.5 3 17.5
67.0 1 6 42.0 3 5 17.0 1
66.5 3 41.5 2 16.5
66.0 4 5 41.0 1 1 16.0
65.5 5 3 40.5 1 1 15.5
65.0 5 4 40.0 1 15.0
64.5 1 3 39.5 1 1 14.5
64.0 6 4 39.0 1 2 14.0
63.5 2 3 38.5 1 2 13.5
63.0 2 6 38.0 13.0
62.5 2 6 37.5 1 12.5
62.0 3 3 37.0 2 2 12.0 2
61.5 1 1 36.5 11.5
61.0 4 3 36.0 2 3 11.0
60.5 2 5 35.5 1 10.5
60.0 7 10 35.0 1 10.0
59.5 2 2 34.5 9.5
59.0 3 3 34.0 2 9.0
58.5 3 33.5 1 2 8.5
58.0 5 3 33.0 1 8.0
57.5 4 6 32.5 2 7.5
57.0 3 32.0 1 7.0
56.5 5 5 31.5 1 2 6.5
56.0 2 3 31.0 6.0
55.5 6 7 30.5 5.5
55.0 2 5 30.0 3 3 5.0
54.5 1 1 29.5 4.5
54.0 6 3 29.0 4.0
53.5 1 3 28.5 2 3.5
53.0 4 4 28.0 1 3.0
52.5 4 27.5 2.5
52.0 4 5 27.0 2.0
51.5 1 6 26.5 2 1.5
51.0 1 4 26.0 1 1.0
50.5 5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 10 B Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
146.5 1 1
139.5 1
137.0 1 1
133.5 1
130.0 3
128.5 1
127.5 1
123.0 1
122.0 1
120.0 1
119.5 1
117.0 1 1 1
116.0 1 2
115.5 1
114.5 1 2
113.5 3
113.0 1
112.5 2 1
111.5 1 1
110.0 1 2
109.0 1 1
108.5 3 1
108.0 1 1
107.5 1 1
106.5 2
105.5 1
105.0 1
104.5 1
104.0 6
103.0 3
102.5 2
101.5 3 2
101.0 1
100.5 1 1 5
100.0 1
99.5 1 2
99.0 1
98.5 2 1
98.0 1 1 3 2
97.5 2
97.0 2 3
96.5 1
96.0 2 1
95.5 1 1
95.0 1
94.5 1 3 1
93.5 1 9
92.5 1 2
92.0 1 3 2
91.0 1 5 3
90.5 1 1
90.0 3 3
89.5 1
89.0 1 2 8
88.5 3 3
88.0 1 2
87.0 1 3
86.5 1 7
86.0 1 1 4
85.5 1 1 2
85.0 5 4
84.5 1 1
84.0 3 3 8
83.5 1 2
83.0 2 3 3
82.5 1 1
82.0 2 3
81.5 1 1 4 1
81.0 1 5
80.5 1 2 4 1
80.0 1 2
79.5 1 6 2
79.0 2 4
78.0 3 6 1
77.5 1 2
77.0 3
76.5 1
76.0 1 3 2
75.5 2 3 6
75.0 1 1 3
74.5 4 3 4
74.0 1 1 2 2
73.5 4 6
73.0 4 2
72.5 4
72.0 2 5 5 1
71.5 1 1
71.0 3 6
70.5 2 1 6
70.0 1 2 1 7
69.5 1 2 5
69.0 1 1
68.5 1 6
68.0 1 2 3
67.5 4 1 1
67.0 4 4
66.5 1 1 1
66.0 4 5
65.5 3 5
65.0 3 3 3
64.5 1 2 1
64.0 2 5 3
63.5 1 1 3
63.0 2 3 3
62.5 1 3 5
62.0 3 3
61.5 1 1
61.0 7
60.5 1 2 4
60.0 5 5 8
59.5 1 3 2
59.0 1 5
58.5 1 1 2
58.0 1 5 2
57.5 1 2 7
57.0 2 1 1
56.5 1 5 5
56.0 1 1 2 1
55.5 1 2 10
55.0 1 5 2
54.5 1 1
54.0 2 1 7
53.5 4 2 1
53.0 2 3 4
52.5 1 3
52.0 1 5 4
51.5 4 3
51.0 4 2
50.5 3 3 1
50.0 1 5
49.5 1 2
49.0 1 1 1
48.5 2
48.0 2 6 2 1
47.5 1 1 3 1 1
47.0 2 2
46.5 1 1 1
46.0 3
45.5 1 1 3
45.0 1 3 1
44.5 1 3
44.0 2
43.5 2 1
43.0 1 2 1
42.5 2 1
42.0 6 1 2
41.5 1 1
41.0 1 1
40.5 1 1
40.0 1
39.5 1 1
39.0 1 2
38.5 3
38.0 1
37.5 1
37.0 2 2
36.5 1
36.0 1 2 1 2 1
35.5 1
35.0 1
34.0 1 1
33.5 1 2
33.0 1
32.5 2
32.0 1 1
31.5 1 2
30.0 4 3 1
28.5 1 1
28.0 1
26.5 1 1
26.0 1
24.5 1
24.0 3 1 2 2
23.5 2
18.0 2 1
17.0 1
12.0 1 1
American Mathematics Competitions
2006 AMC 10 B Results for North Carolina
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 0.61 0.40 5.94* 1.97 0.67 0.41 0.00
2 6.05* 0.72 0.13 0.21 0.43 2.47 0.00
3 8.21* 0.24 0.05 1.11 0.28 0.11 0.00
4 1.58 1.62 0.39 3.50* 1.98 0.92 0.00
5 0.78 5.00* 2.20 0.44 0.17 1.41 0.00
6 0.40 0.24 3.31 3.81* 0.43 1.80 0.01
7 2.97* 1.37 1.42 0.96 0.72 2.54 0.01
8 1.86 1.45* 0.51 1.39 0.74 4.05 0.00
9 0.06 7.97* 0.24 0.11 0.94 0.68 0.00
10 3.04* 0.61 1.42 0.21 2.34 2.38 0.00
11 0.33 0.68 3.30* 0.72 0.36 4.61 0.00
12 0.40 0.38 0.29 0.71 4.78* 3.44 0.00
13 0.89 0.32 2.27 1.17 2.83* 2.52 0.00
14 0.26 0.27 0.44 1.28* 0.16 7.60 0.00
15 0.73 0.52 1.97* 0.30 0.50 5.97 0.00
16 2.25 0.44 2.08 0.97 1.84* 2.42 0.00
17 2.41 1.40 1.53 2.74* 0.17 1.75 0.00
18 0.58 0.57 1.16 0.38 0.99* 6.33 0.00
19 0.56* 0.69 0.34 0.21 0.39 7.81 0.00
20 0.45 0.44 0.41 0.71 1.14* 6.85 0.00
21 0.64 0.33 1.12* 2.13 0.58 5.19 0.00
22 0.41 0.72 2.36 1.06* 0.13 5.32 0.00
23 0.28 0.91 0.51 0.47* 0.32 7.51 0.00
24 0.28 1.35* 0.89 0.46 0.33 6.69 0.00
25 0.24 2.64* 0.33 2.08 0.38 4.33 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 North Carolina
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 9 6
149.0 124.0 99.0 2
148.5 123.5 98.5 11 6
148.0 123.0 3 98.0 3
147.5 122.5 97.5 2
147.0 122.0 2 97.0 4 4
146.5 121.5 96.5
146.0 121.0 96.0 18 10
145.5 120.5 95.5 1
145.0 120.0 95.0 21 14
144.5 119.5 2 94.5 2
144.0 119.0 94.0 1 1
143.5 118.5 5 1 93.5 10 4
143.0 118.0 93.0 1
142.5 117.5 92.5 16 8
142.0 117.0 4 92.0
141.5 116.5 91.5 3 5
141.0 116.0 3 1 91.0 7 2
140.5 115.5 90.5 1 2
140.0 115.0 4 1 90.0 11 9
139.5 114.5 89.5 1
139.0 114.0 89.0 19 13
138.5 113.5 5 88.5 1
138.0 113.0 88.0 4 4
137.5 112.5 6 87.5 6 4
137.0 112.0 87.0 2
136.5 111.5 3 3 86.5 13 8
136.0 111.0 3 1 86.0 1 1
135.5 110.5 85.5 4 6
135.0 110.0 3 85.0 4 1
134.5 109.5 84.5 2
134.0 109.0 5 2 84.0 7 5
133.5 108.5 3 83.5
133.0 108.0 9 3 83.0 10 7
132.5 1 107.5 1 82.5 3
132.0 107.0 82.0 3 4
131.5 106.5 2 81.5 3 1
131.0 106.0 2 81.0 1
130.5 105.5 7 2 80.5 8 5
130.0 2 105.0 80.0 4 2
129.5 104.5 7 3 79.5 7 4
129.0 2 104.0 3 2 79.0
128.5 103.5 78.5 5 2
128.0 103.0 11 2 78.0 5 4
127.5 102.5 77.5 2
127.0 102.0 14 5 77.0 9 7
126.5 2 1 101.5 1 76.5 1 5
126.0 101.0 14 3 76.0 3 5
125.5 1 100.5 6 3 75.5 1 4
American Mathematics Competitions
2006 AMC 12 B Results for North Carolina
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 50.0 25.0
74.5 3 4 49.5 24.5
74.0 1 3 49.0 24.0
73.5 2 3 48.5 23.5
73.0 1 2 48.0 2 23.0
72.5 2 6 47.5 1 22.5
72.0 6 2 47.0 1 22.0
71.5 46.5 21.5
71.0 1 2 46.0 21.0
70.5 1 45.5 20.5
70.0 2 2 45.0 20.0
69.5 4 44.5 19.5
69.0 2 2 44.0 19.0
68.5 2 2 43.5 18.5
68.0 2 1 43.0 18.0
67.5 1 42.5 17.5
67.0 1 2 42.0 1 2 17.0
66.5 41.5 16.5
66.0 4 1 41.0 16.0
65.5 2 40.5 15.5
65.0 3 1 40.0 15.0
64.5 2 39.5 14.5
64.0 3 39.0 14.0
63.5 1 38.5 13.5
63.0 38.0 13.0
62.5 2 2 37.5 12.5
62.0 2 3 37.0 12.0
61.5 1 36.5 1 11.5
61.0 36.0 11.0
60.5 35.5 10.5
60.0 1 35.0 10.0
59.5 1 34.5 9.5
59.0 1 34.0 9.0
58.5 1 33.5 8.5
58.0 1 33.0 8.0
57.5 2 1 32.5 1 7.5
57.0 32.0 7.0
56.5 1 2 31.5 6.5
56.0 31.0 6.0
55.5 1 1 30.5 5.5
55.0 1 30.0 5.0
54.5 2 29.5 4.5
54.0 1 1 29.0 4.0
53.5 2 28.5 3.5
53.0 28.0 3.0
52.5 1 27.5 2.5
52.0 1 27.0 2.0
51.5 26.5 1.5
51.0 2 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2006 AMC 12 B Results for North Carolina
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
132.5 1
130.0 1 1
129.0 1 1
126.5 1 2
125.5 1
123.0 1 2
122.0 1 1
119.5 1 1
118.5 3 3
117.0 1 1 2
116.0 1 3
115.0 1 2 3
113.5 1 1 3
112.5 2 2 3
111.5 1 2 3
111.0 1 3
110.0 1 1 1 1
109.0 2 2 3
108.5 1 1 1
108.0 3 10
107.5 1
106.5 1 1
106.0 2
105.5 1 10
104.5 6 5
104.0 1 3 1
103.0 1 6 8
102.0 1 1 2 6 9
101.5 1
101.0 1 6 11
100.5 1 2 4 2
99.5 2 5 8 1
99.0 2
98.5 4 7 6
98.0 3
97.5 2
97.0 2 7
96.0 3 20 6
95.5 1
95.0 5 12 20
94.5 1 1
94.0 1 1
93.5 2 8 4
93.0 1
92.5 1 1 7 16
91.5 7 2
91.0 1 2 4 3
90.5 1 2
90.0 1 10 12
89.5 1 1
89.0 1 1 20 12
88.5 1 1
88.0 3 5
87.5 1 4 5
87.0 1 1
86.5 1 8 13
86.0 1 1
85.5 1 4 6 1
85.0 1 1 3
84.5 2
84.0 4 8 1
83.0 8 10
82.5 1 2
82.0 1 5 2
81.5 3 1
81.0 1
80.5 10 3
80.0 1 3 2
79.5 2 6 5
78.5 4 3
78.0 6 4
77.5 1 1
77.0 2 9 6
76.5 6
76.0 7 2
75.5 2 4
75.0 1 1
74.5 3 4
74.0 3 1
73.5 4 1
73.0 1 2
72.5 1 2 5
72.0 3 5
71.0 3
70.5 1
70.0 1 3
69.5 1 3
69.0 1 2 1
68.5 2 2
68.0 1 1 1
67.5 1
67.0 2 1
66.0 2 3
65.5 2
65.0 1 3
64.5 1 2
64.0 1 3
63.5 1
62.5 2 2
62.0 4 1
61.5 1
60.0 1
59.5 1
59.0 1
58.5 1
58.0 1
57.5 3
56.5 2 1 1
55.5 2
55.0 1
54.5 2
54.0 3
53.5 2
52.5 1
52.0 1
51.0 1 1
48.0 2
47.5 1
47.0 1
42.0 2 1
36.5 1
32.5 1
American Mathematics Competitions
2006 AMC 12 B Results for North Carolina
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 0.20 0.19 8.84* 0.55 0.19 0.04 0.00
2 8.77* 0.32 0.01 0.04 0.25 0.60 0.00
3 8.88* 0.13 0.01 0.60 0.29 0.08 0.00
4 9.24* 0.27 0.16 0.20 0.01 0.12 0.00
5 7.78* 0.73 0.16 0.17 0.19 0.96 0.00
6 0.08 9.24* 0.01 0.05 0.32 0.29 0.00
7 0.23 8.84* 0.27 0.36 0.07 0.24 0.00
8 0.15 0.12 0.16 0.31 7.94* 1.32 0.00
9 0.43 5.51* 0.33 0.69 0.37 2.66 0.00
10 3.87* 0.57 0.99 0.16 2.43 1.98 0.00
11 0.48 0.12 0.96 1.01 5.29* 2.14 0.00
12 0.43 0.51 0.53 1.30* 0.60 6.64 0.00
13 0.68 0.51 2.74* 0.20 0.44 5.43 0.00
14 0.16 0.33 2.12 2.20* 0.05 5.13 0.00
15 0.08 2.58* 1.00 0.33 0.21 5.79 0.00
16 0.17 0.11 1.30* 0.21 0.25 7.94 0.01
17 0.64 0.25 1.78* 1.07 0.32 5.94 0.00
18 0.41 0.95* 1.28 0.31 0.15 6.90 0.00
19 0.12 2.51* 0.09 1.32 0.25 5.70 0.00
20 0.16 0.12 0.31* 0.23 0.51 8.68 0.00
21 0.15 0.11 0.17* 0.07 0.09 9.41 0.00
22 0.03 0.19* 0.32 0.13 0.04 9.29 0.00
23 0.23 0.15 0.29 0.09 0.08* 9.16 0.00
24 0.23 0.09 0.08* 0.11 0.16 9.33 0.00
25 0.09 0.13* 0.12 0.23 0.04 9.39 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column