American Mathematics Competitions
2005 AMC 10 A Results for Michigan
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1387
Number of unofficial participants: 1
Average score of participants: 73.9
Average score for female students is: 70.7 ( 623 Students)
Average score for male students is: 76.8 ( 725 Students)
Average score for unspecified gender is 70.6 ( 39 Students)
Average score for grade 10 is: 75.1 ( 694 Students)
Average score for grade 9 is: 70.3 ( 599 Students)
Average score for grade 8 and below is: 91.5 ( 83 Students)
Average score with unknown grade: 57.2 ( 11 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 32
Number of schools returning results 52
Average school winning score 105.44
American Mathematics Competitions
2005 AMC 12 A Results for Michigan
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 1465
Number of unofficial participants: 0
Average score of participants: 79.0
Average score for female students is: 74.8 ( 642 Students)
Average score for male students is: 82.5 ( 785 Students)
Average score for unspecified gender is 80.1 ( 38 Students)
Average score for grade 13 is: 91.5 ( 1 Student)
Average score for grade 12 is: 80.3 ( 636 Students)
Average score for grade 11 is: 76.4 ( 713 Students)
Average score for grade 10 is: 83.4 ( 73 Students)
Average score for grade 9 is: 100.7 ( 25 Students)
Average score for grade 8 and below is: 92.9 ( 12 Students)
Average score with unknown grade: 83.0 ( 5 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 187
Number of schools returning results 61
Average school winning score 107.98
Average school team score 298.46
American Mathematics Competitions
2005 AMC 10 B Results for Michigan
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 481
Number of unofficial participants: 0
Average score of participants: 81.1
Average score for female students is: 78.8 ( 186 Students)
Average score for male students is: 82.8 ( 276 Students)
Average score for unspecified gender is 78.4 ( 19 Students)
Average score for grade 10 is: 82.3 ( 200 Students)
Average score for grade 9 is: 82.1 ( 217 Students)
Average score for grade 8 and below is: 75.0 ( 49 Students)
Average score with unknown grade: 70.3 ( 15 Students)
AIME qualifying score = 120.0 or better
Number of AIME qualifers 15
Number of schools returning results 15
Average school winning score 110.17
American Mathematics Competitions
2005 AMC 12 B Results for Michigan
GRAND STATISTICS
TOTAL NUMBER of official students taking exam: 553
Number of unofficial participants: 0
Average score of participants: 86.4
Average score for female students is: 83.7 ( 183 Students)
Average score for male students is: 88.5 ( 343 Students)
Average score for unspecified gender is 78.6 ( 27 Students)
Average score for grade 12 is: 87.1 ( 206 Students)
Average score for grade 11 is: 84.5 ( 273 Students)
Average score for grade 10 is: 87.4 ( 42 Students)
Average score for grade 9 is: 105.6 ( 8 Students)
Average score for grade 8 and below is: 98.1 ( 19 Students)
Average score with unknown grade: 78.6 ( 5 Students)
AIME qualifying score = 100.0 or better
Number of AIME qualifers 98
Number of schools returning results 21
Average school winning score 110.76
Average school team score 317.43
2005 State AMC 12 TEAM Score Distribution
-----------------------------------------------
score A B Rank
-----------------------------------------------
389.0 1 1
379.5 1 2
375.5 1 1 3
372.5 1 5
367.0 1 6
360.0 1 7
359.5 1 8
357.5 1 9
352.5 1 10
352.0 1 11
350.5 1 12
348.0 1 13
347.0 1 14
346.0 1 15
344.5 1 16
341.0 2 17
338.5 1 19
336.5 1 20
335.5 1 21
334.5 1 22
332.5 1 23
328.0 1 1 24
327.0 1 26
325.5 1 27
323.0 1 28
320.5 1 29
318.5 1 30
317.5 2 31
316.5 1 33
315.0 1 34
314.0 1 1 35
313.0 1 37
310.5 2 38
308.5 1 40
308.0 1 41
306.0 1 42
301.5 1 43
300.0 1 1 44
299.0 1 46
298.0 1 47
297.5 1 48
295.0 1 49
294.5 1 50
294.0 1 51
293.0 1 52
292.0 1 53
291.5 2 54
289.5 2 56
288.5 1 58
286.0 1 59
284.0 1 60
283.0 1 61
282.0 1 62
280.0 1 63
279.0 1 64
274.0 1 65
271.5 1 66
271.0 1 67
270.5 1 68
265.0 1 69
262.0 1 70
261.5 1 71
260.0 1 72
259.0 1 73
257.5 1 74
248.0 1 75
239.5 1 76
239.0 1 77
237.5 1 78
233.0 1 79
220.5 1 80
130.5 1 81
105.5 1 82
2005 AMC Contest Score Distributions
-----------------------------------------------
score 12 A 12 B 10 A 10 B
-----------------------------------------------
150.0 1
144.0 1
143.0 1
140.5 1
139.5 1
138.0 4 1
137.0 1 1
134.5 1 1
133.5 1 1 2
132.5 2 1
132.0 1 1
131.0 1 1
130.0 1 2
129.0 1 1
127.5 2 1
126.5 2 1
125.5 1 1
125.0 1 2
124.0 1 1
123.0 6 2 3
122.5 1
122.0 3 2
121.5 1 3 2
120.5 1 1 6 2
120.0 1 1
119.5 3 1 1 1
119.0 1
118.5 6 1
118.0 2 2 2
117.0 3 1 4 1
116.5 1
116.0 7 7 1 2
115.5 2 1
115.0 4 1
114.5 2 2
114.0 1
113.5 4 2 3
112.5 5 5
112.0 1 3 1
111.5 1 2 2 2
111.0 3 1 4 2
110.5 1
110.0 6 2 1 6
109.5 1
109.0 7 4 4 4
108.5 2 1 7 1
108.0 8 3 2
107.5 3 3 3 7
106.5 6 7 6 4
106.0 1
105.5 17 8 4 2
105.0 1 2 6 2
104.5 9 7 1 2
104.0 1 3 9 4
103.5 3 1
103.0 14 6 4 4
102.5 5 2 3 1
102.0 20 6 5 4
101.5 4 1 8 2
101.0 15 5 2 1
100.5 5 5 9 1
100.0 1 1 1
99.5 20 7 2 5
99.0 6 2
98.5 21 11 4 3
98.0 3 8 6
97.5 9 3 1 1
97.0 8 9 5 5
96.5 2 2
96.0 18 17 13 6
95.5 2 2 3 4
95.0 32 17 7 4
94.5 5 2 9 5
94.0 7 7 5
93.5 15 6 8 4
93.0 1 6 5
92.5 27 14 20 5
92.0 6 4 11 6
91.5 10 9 7 3
91.0 12 4 7 7
90.5 8 3 5 4
90.0 17 13 11 6
89.5 2 2 3 3
89.0 37 18 16 8
88.5 5 5 4 8
88.0 14 14 5 2
87.5 12 7 5 3
87.0 7 3 4 1
86.5 26 10 11 9
86.0 3 2 8 5
85.5 12 8 13 7
85.0 7 5 12 6
84.5 23 4 20 3
84.0 17 16 9 10
83.5 6 1 6 7
83.0 50 9 18 6
82.5 5 5 3 4
82.0 19 4 15 2
81.5 12 11 11 5
81.0 12 4 15 2
80.5 24 16 16 6
80.0 13 6 12 2
79.5 16 13 16 8
79.0 9 5 3 8
78.5 24 5 21 3
78.0 17 4 16 8
77.5 10 2 15 6
77.0 21 8 17 10
76.5 8 1 11 5
76.0 16 8 19 4
75.5 13 6 7 5
75.0 22 5 23 1
74.5 22 13 23 5
74.0 13 1 21 1
73.5 11 2 18 6
73.0 11 3 8 4
72.5 27 5 24 5
72.0 24 9 15 5
71.5 18 23 4
71.0 15 2 21 3
70.5 12 4 9 1
70.0 18 5 21 5
69.5 6 3 5 7
69.0 14 5 21 3
68.5 13 5 22 6
68.0 8 3 20 5
67.5 10 3 12
67.0 8 9 3
66.5 15 2 15 4
66.0 13 6 16 3
65.5 13 2 20 1
65.0 17 6 19 2
64.5 8 1 9 4
64.0 16 1 12 2
63.5 7 2 9 1
63.0 15 1 15 1
62.5 7 3 10 8
62.0 11 1 16 3
61.5 6 1 18 2
61.0 12 4 1
60.5 7 2 11 1
60.0 11 2 18 4
59.5 7 1 14 1
59.0 15 1 9 4
58.5 8 1 3 3
58.0 7 2 6
57.5 9 9 3
57.0 7 2 6 2
56.5 7 3 8 1
56.0 4 1 7 1
55.5 5 1 10 2
55.0 3 1 5
54.5 1 4 2
54.0 10 4 19 2
53.5 1 9 1
53.0 8 3 1
52.5 8 5
52.0 5 7 2
51.5 2 5
51.0 3 1 3
50.5 9 13 3
50.0 2 4 1
49.5 6 1 4 2
49.0 6 1
48.5 1 2 4
48.0 5 3 9 2
47.5 2 1 2
47.0 7 4
46.5 2 7
46.0 1 3
45.5 4 4 1
45.0 3 3
44.5 3 4
44.0 1 7
43.5 1 7 3
43.0 3 2 1
42.5 5 1
42.0 10 10 2
41.5 2 8
41.0 1 2 1
40.5 2 4
40.0 2 2 2
39.5 2 1
39.0 2 1
38.5 1 1
38.0 4 1 1
37.5 1 1
37.0 2 3
36.5 1 1
36.0 3 8 2
35.5 3 1
35.0 1 1
34.5 1 1 1
34.0 1 1 1
33.0 1
32.5 2 1
32.0 1
31.5 2
30.5 1
30.0 2 5 5
29.5 1
29.0 1
28.5 1
28.0 1
27.0 1
26.5 1 3 1
25.5 1 1
24.0 5 4
23.0 1
22.5 1
21.0 1
20.5 2
18.0 1
17.0 1
12.0 1 1
8.5 1
6.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Michigan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 125.0 2 100.0 1
149.5 124.5 99.5 1 1
149.0 124.0 99.0 3 3
148.5 123.5 98.5 4
148.0 123.0 1 1 98.0 6 2
147.5 122.5 97.5 1
147.0 122.0 1 1 97.0 3 2
146.5 121.5 3 96.5 2
146.0 121.0 96.0 9 4
145.5 120.5 3 3 95.5 1 2
145.0 120.0 1 95.0 7
144.5 119.5 1 94.5 9
144.0 1 119.0 1 94.0 3 2
143.5 118.5 93.5 2 6
143.0 118.0 1 1 93.0 2 4
142.5 117.5 92.5 14 6
142.0 117.0 3 92.0 8 1
141.5 116.5 91.5 3 4
141.0 116.0 1 91.0 4 3
140.5 115.5 90.5 5
140.0 115.0 90.0 6 4
139.5 1 114.5 2 89.5 2 1
139.0 114.0 1 89.0 9 6
138.5 113.5 1 2 88.5 1 3
138.0 4 113.0 88.0 5
137.5 112.5 87.5 3 1
137.0 1 112.0 3 87.0 1 3
136.5 111.5 2 86.5 4 7
136.0 111.0 1 3 86.0 6 2
135.5 110.5 85.5 7 6
135.0 110.0 1 85.0 5 7
134.5 1 109.5 84.5 13 7
134.0 109.0 2 2 84.0 5 4
133.5 2 108.5 4 3 83.5 3 3
133.0 108.0 2 83.0 8 10
132.5 107.5 3 82.5 3
132.0 107.0 82.0 5 9
131.5 106.5 4 2 81.5 7 4
131.0 1 106.0 1 81.0 8 7
130.5 105.5 4 80.5 5 9
130.0 1 1 105.0 4 2 80.0 6 6
129.5 104.5 1 79.5 7 8
129.0 104.0 9 79.0 3
128.5 103.5 3 78.5 4 16
128.0 103.0 2 2 78.0 9 7
127.5 2 102.5 2 1 77.5 6 9
127.0 102.0 2 3 77.0 12 5
126.5 101.5 7 1 76.5 8 3
126.0 101.0 1 1 76.0 8 11
125.5 100.5 7 2 75.5 3 4
American Mathematics Competitions
2005 AMC 10 A Results for Michigan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 10 11 50.0 2 2 25.0
74.5 15 7 49.5 2 2 24.5
74.0 13 8 49.0 3 3 24.0 1 3
73.5 9 9 48.5 1 2 23.5
73.0 3 5 48.0 4 4 23.0 1
72.5 10 13 47.5 1 22.5 1
72.0 7 8 47.0 1 3 22.0
71.5 16 7 46.5 4 2 21.5
71.0 14 7 46.0 2 21.0
70.5 3 6 45.5 2 2 20.5 2
70.0 7 11 45.0 1 2 20.0
69.5 2 3 44.5 2 2 19.5
69.0 8 12 44.0 4 3 19.0
68.5 11 10 43.5 3 3 18.5
68.0 11 9 43.0 1 1 18.0
67.5 6 6 42.5 3 1 17.5
67.0 2 7 42.0 6 4 17.0
66.5 5 9 41.5 5 3 16.5
66.0 8 8 41.0 2 16.0
65.5 10 10 40.5 1 3 15.5
65.0 12 7 40.0 2 15.0
64.5 5 3 39.5 2 14.5
64.0 8 3 39.0 2 14.0
63.5 5 3 38.5 1 13.5
63.0 8 6 38.0 1 13.0
62.5 5 4 37.5 1 12.5
62.0 8 8 37.0 2 1 12.0 1
61.5 12 6 36.5 1 11.5
61.0 3 1 36.0 3 5 11.0
60.5 2 7 35.5 1 10.5
60.0 10 7 35.0 1 10.0
59.5 8 6 34.5 1 9.5
59.0 4 4 34.0 1 9.0
58.5 1 2 33.5 8.5 1
58.0 6 33.0 1 8.0
57.5 3 6 32.5 1 7.5
57.0 4 2 32.0 7.0
56.5 2 5 31.5 2 6.5
56.0 4 3 31.0 6.0 1
55.5 5 5 30.5 5.5
55.0 1 4 30.0 2 3 5.0
54.5 1 3 29.5 1 4.5
54.0 8 11 29.0 4.0
53.5 3 6 28.5 3.5
53.0 3 28.0 3.0
52.5 4 1 27.5 2.5
52.0 2 5 27.0 1 2.0
51.5 1 4 26.5 1 2 1.5
51.0 2 26.0 1.0
50.5 4 9 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 A Results for Michigan
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
144.0 1
139.5 1
138.0 1 1 2
137.0 1
134.5 1
133.5 2
132.0 1
131.0 1
130.0 1 1
127.5 1 1
125.0 1 1
123.0 1 1
122.0 1 1
121.5 1 2
120.5 1 2 3
120.0 1
119.5 1
119.0 1
118.0 2
117.0 1 3
116.0 1
114.5 2
114.0 1
113.5 1 2
112.0 1 1 1
111.5 1 1
111.0 2 2
110.0 1
109.0 2 2
108.5 2 1 4
108.0 1 1
107.5 1 2
106.5 1 3 2
106.0 1
105.5 2 2
105.0 4 2
104.5 1
104.0 4 5
103.5 1 1 1
103.0 3 1
102.5 1 1 1
102.0 1 1 3
101.5 1 1 1 5
101.0 2
100.5 1 1 1 6
100.0 1
99.5 1 1
99.0 1 5
98.5 2 2
98.0 3 5
97.5 1
97.0 2 3
96.5 1 1
96.0 1 8 4
95.5 1 2
95.0 1 2 4
94.5 1 1 3 4
94.0 1 2 2
93.5 4 4
93.0 1 5
92.5 1 1 10 8
92.0 1 3 7
91.5 1 2 4
91.0 1 3 3
90.5 3 2
90.0 1 5 5
89.5 2 1
89.0 1 8 7
88.5 2 2
88.0 1 4
87.5 1 2 1 1
87.0 4
86.5 1 5 5
86.0 1 1 6
85.5 5 8
85.0 1 3 8
84.5 1 1 10 8
84.0 2 3 4
83.5 1 2 3
83.0 1 6 11
82.5 1 1 1
82.0 10 5
81.5 2 9
81.0 1 2 5 7
80.5 1 6 9
80.0 6 6
79.5 9 7
79.0 1 2
78.5 1 7 13
78.0 1 6 9
77.5 1 7 7
77.0 1 1 1 5 9
76.5 1 7 3
76.0 9 9 1
75.5 1 1 5
75.0 12 11
74.5 1 8 14
74.0 1 7 13
73.5 1 7 10
73.0 1 4 3
72.5 8 16
72.0 8 7
71.5 1 9 13
71.0 6 15
70.5 1 6 2
70.0 6 14 1
69.5 3 2
69.0 7 13 1
68.5 10 12
68.0 12 8
67.5 4 8
67.0 9
66.5 1 7 7
66.0 1 3 12
65.5 10 10
65.0 7 12
64.5 1 3 5
64.0 3 9
63.5 3 6
63.0 11 4
62.5 5 5
62.0 5 11
61.5 10 8
61.0 1 1 2
60.5 7 4
60.0 10 7 1
59.5 8 5 1
59.0 5 4
58.5 1 1 1
58.0 6
57.5 4 5
57.0 4 2
56.5 6 2
56.0 1 3 3
55.5 4 6
55.0 4 1
54.5 3 1
54.0 1 9 9
53.5 1 3 4 1
53.0 2 1
52.5 4 1
52.0 4 3
51.5 1 4
51.0 3
50.5 7 6
50.0 1 3
49.5 4
49.0 3 3
48.5 2 2
48.0 6 3
47.5 1
47.0 1 3
46.5 3 4
46.0 2 1
45.5 1 3
45.0 3
44.5 2 1 1
44.0 4 3
43.5 6 1
43.0 1 1
42.5 2 1 2
42.0 1 4 5
41.5 7 1
41.0 1 1
40.5 2 2
40.0 2
39.5 1 1
39.0 1 1
38.5 1
38.0 1
37.5 1
37.0 1 2
36.5 1
36.0 3 5
35.5 1
35.0 1
34.5 1
34.0 1
33.0 1
32.5 1
31.5 1 1
30.0 4 1
29.5 1
27.0 1
26.5 3
25.5 1
24.0 2 1 1
23.0 1
22.5 1
20.5 1 1
12.0 1
8.5 1
6.0 1
American Mathematics Competitions
2005 AMC 10 A Results for Michigan
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.17 0.12 0.25 8.73* 0.43 0.29 0.00
2 0.26 0.14 5.90* 0.09 1.46 2.16 0.01
3 0.06 8.86* 0.38 0.32 0.12 0.25 0.00
4 0.46 2.11* 1.93 0.49 0.35 4.66 0.01
5 6.00* 0.43 3.28 0.09 0.04 0.15 0.00
6 0.28 5.07* 2.93 0.21 0.05 1.46 0.00
7 0.62 3.63* 0.40 0.45 0.63 4.27 0.00
8 1.02 0.35 4.06* 0.19 0.14 4.23 0.00
9 1.18 5.54* 0.98 0.20 0.29 1.80 0.00
10 2.18* 0.52 1.09 0.40 0.13 5.68 0.00
11 0.48 2.46* 0.29 1.00 0.14 5.64 0.00
12 0.42 1.37* 0.54 0.30 0.61 6.76 0.00
13 1.54 0.55 0.37 0.38 1.23* 5.93 0.00
14 0.76 0.54 0.49 0.53 2.18* 5.50 0.01
15 0.48 0.90 0.87 1.23 1.23* 5.28 0.00
16 0.56 0.42 0.81 2.44* 0.13 5.65 0.00
17 0.41 0.39 0.54 1.93* 0.42 6.31 0.00
18 1.36* 1.89 1.31 3.26 0.22 1.97 0.00
19 0.39 0.77 0.71 2.93* 0.67 4.53 0.00
20 0.71* 0.46 0.53 0.40 0.37 7.51 0.00
21 1.73 0.92* 0.25 0.33 0.67 6.10 0.00
22 0.66 0.63 0.32 2.40* 0.45 5.54 0.00
23 0.27 0.43 1.14* 1.07 0.64 6.45 0.00
24 1.13 1.14* 0.43 0.22 0.15 6.93 0.00
25 0.42 0.66 0.74 0.85* 0.12 7.21 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
2005 AMC 12 A Results for Michigan
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 14 6
149.0 124.0 1 99.0
148.5 123.5 98.5 14 7
148.0 123.0 6 98.0 3
147.5 122.5 97.5 4 4
147.0 122.0 2 1 97.0 5 3
146.5 121.5 1 96.5
146.0 121.0 96.0 9 8
145.5 120.5 1 95.5 2
145.0 120.0 95.0 17 13
144.5 119.5 3 94.5 4 1
144.0 119.0 94.0 3 4
143.5 118.5 3 1 93.5 9 5
143.0 118.0 2 93.0
142.5 117.5 92.5 16 10
142.0 117.0 2 1 92.0 4 2
141.5 116.5 91.5 4 5
141.0 116.0 5 2 91.0 10 2
140.5 1 115.5 1 90.5 3 5
140.0 115.0 4 90.0 8 9
139.5 114.5 89.5 2
139.0 114.0 89.0 23 12
138.5 113.5 4 88.5 3 1
138.0 113.0 88.0 8 6
137.5 112.5 5 87.5 6 6
137.0 1 112.0 87.0 5 2
136.5 111.5 1 86.5 13 11
136.0 111.0 3 86.0 1 2
135.5 110.5 85.5 4 8
135.0 110.0 4 1 85.0 5 2
134.5 1 109.5 1 84.5 14 8
134.0 109.0 7 84.0 11 5
133.5 1 108.5 1 1 83.5 4 2
133.0 108.0 6 2 83.0 28 22
132.5 2 107.5 3 82.5 4 1
132.0 107.0 82.0 7 11
131.5 106.5 5 1 81.5 6 6
131.0 106.0 81.0 5 7
130.5 105.5 13 4 80.5 12 11
130.0 105.0 1 80.0 6 7
129.5 104.5 8 1 79.5 9 6
129.0 1 104.0 1 79.0 5 4
128.5 103.5 78.5 10 14
128.0 103.0 10 4 78.0 8 8
127.5 102.5 4 1 77.5 2 7
127.0 102.0 16 4 77.0 10 11
126.5 2 101.5 2 2 76.5 2 6
126.0 101.0 8 7 76.0 9 7
125.5 1 100.5 4 1 75.5 8 5
American Mathematics Competitions
2005 AMC 12 A Results for Michigan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 6 15 50.0 2 25.0
74.5 13 9 49.5 4 2 24.5
74.0 6 7 49.0 24.0 2 3
73.5 4 7 48.5 1 23.5
73.0 7 4 48.0 5 23.0
72.5 10 16 47.5 2 22.5
72.0 10 13 47.0 3 3 22.0
71.5 9 9 46.5 1 1 21.5
71.0 8 7 46.0 1 21.0 1
70.5 6 6 45.5 1 3 20.5
70.0 9 9 45.0 1 1 20.0
69.5 5 1 44.5 3 19.5
69.0 7 7 44.0 19.0
68.5 7 6 43.5 1 18.5
68.0 3 5 43.0 1 2 18.0
67.5 5 4 42.5 17.5
67.0 4 4 42.0 4 6 17.0 1
66.5 5 9 41.5 2 16.5
66.0 6 7 41.0 1 16.0
65.5 6 7 40.5 1 1 15.5
65.0 9 8 40.0 2 15.0
64.5 5 3 39.5 14.5
64.0 6 9 39.0 14.0
63.5 2 5 38.5 1 13.5
63.0 7 8 38.0 2 2 13.0
62.5 5 2 37.5 12.5
62.0 3 8 37.0 2 12.0
61.5 3 3 36.5 1 11.5
61.0 5 6 36.0 2 1 11.0
60.5 1 6 35.5 1 2 10.5
60.0 4 6 35.0 1 10.0
59.5 3 3 34.5 1 9.5
59.0 6 7 34.0 1 9.0
58.5 2 6 33.5 8.5
58.0 3 3 33.0 8.0
57.5 6 3 32.5 2 7.5
57.0 4 3 32.0 7.0
56.5 3 4 31.5 6.5
56.0 2 2 31.0 6.0
55.5 1 4 30.5 5.5
55.0 3 30.0 1 1 5.0
54.5 1 29.5 4.5
54.0 4 6 29.0 4.0
53.5 1 28.5 1 3.5
53.0 4 4 28.0 1 3.0
52.5 2 6 27.5 2.5
52.0 2 3 27.0 2.0
51.5 2 26.5 1 1.5
51.0 3 26.0 1.0
50.5 5 3 25.5 1 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 A Results for Michigan
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
140.5 1
137.0 1
134.5 1
133.5 1
132.5 1 1
129.0 1
126.5 2
125.5 1
125.0 1
124.0 1
123.0 1 1 1 3
122.0 1 2
121.5 1
120.5 1
119.5 3
118.5 1 2 1 2
118.0 1 1
117.0 2 1
116.0 2 1 2 2
115.5 2
115.0 1 1 2
113.5 2 2
112.5 2 1 1 1
111.5 1
111.0 2 1
110.0 1 1 4
109.5 1
109.0 4 3
108.5 2
108.0 2 2 3 1
107.5 3
106.5 1 5
105.5 2 1 8 6
105.0 1
104.5 2 7
104.0 1
103.0 1 1 3 9
102.5 1 1 1 2
102.0 1 6 13
101.5 3 1
101.0 1 6 8
100.5 1 2 2
99.5 1 1 7 11
98.5 3 9 9
98.0 3
97.5 1 3 5
97.0 4 4
96.0 1 1 7 9
95.5 2
95.0 1 2 15 13 1
94.5 1 1 3
94.0 2 5
93.5 1 1 5 8
92.5 11 16
92.0 1 4 1
91.5 5 4 1
91.0 1 4 7
90.5 5 3
90.0 1 6 10
89.5 2
89.0 1 3 15 17 1
88.5 1 1 3
88.0 1 8 5
87.5 6 6
87.0 7
86.5 1 2 5 18
86.0 1 2
85.5 10 2
85.0 2 5
84.5 14 9
84.0 9 8
83.5 3 3
83.0 2 1 24 23
82.5 1 1 3
82.0 3 6 10
81.5 1 4 7
81.0 1 1 6 4
80.5 4 11 9
80.0 1 6 6
79.5 8 8
79.0 8 1
78.5 2 1 9 11 1
78.0 1 11 5
77.5 3 6 1
77.0 1 12 8
76.5 4 4
76.0 8 8
75.5 7 6
75.0 1 1 11 8 1
74.5 3 9 10
74.0 1 7 5
73.5 2 6 3
73.0 7 4
72.5 14 13
72.0 2 10 12
71.5 12 6
71.0 8 7
70.5 1 6 5
70.0 1 10 7
69.5 1 3 2
69.0 9 5
68.5 2 6 5
68.0 6 2
67.5 1 8 1
67.0 1 5 2
66.5 9 6
66.0 7 6
65.5 1 12
65.0 1 14 2
64.5 4 4
64.0 2 7 7
63.5 3 4
63.0 7 8
62.5 6 1
62.0 6 5
61.5 1 3 2
61.0 1 5 6
60.5 5 2
60.0 6 5
59.5 6 1
59.0 1 10 4
58.5 5 3
58.0 1 5 1
57.5 6 3
57.0 3 4
56.5 5 2
56.0 3 1
55.5 4 1
55.0 3
54.5 1
54.0 4 6
53.5 1
53.0 7 1
52.5 1 4 3
52.0 2 3
51.5 2
51.0 3
50.5 1 4 4
50.0 1 1
49.5 2 4
48.5 1
48.0 2 3
47.5 2
47.0 2 3 2
46.5 1 1
46.0 1
45.5 2 2
45.0 2 1
44.5 2 1
43.5 1
43.0 1 2
42.0 7 3
41.5 1 1
41.0 1
40.5 2
40.0 1 1
38.5 1
38.0 1 3
37.0 2
36.5 1
36.0 3
35.5 2 1
35.0 1
34.5 1
34.0 1
32.5 1 1
30.0 2
28.5 1
28.0 1
26.5 1
25.5 1
24.0 3 2
21.0 1
17.0 1
American Mathematics Competitions
2005 AMC 12 A Results for Michigan
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 0.02 0.08 0.11 9.40* 0.14 0.26 0.00
2 0.01 9.45* 0.17 0.23 0.03 0.10 0.00
3 0.46 4.42* 1.24 0.39 0.51 2.98 0.00
4 7.13* 0.33 2.33 0.08 0.02 0.12 0.00
5 0.18 6.89* 1.90 0.07 0.08 0.87 0.00
6 0.59 5.34* 0.31 0.31 0.66 2.79 0.01
7 0.60 0.25 6.76* 0.10 0.09 2.20 0.00
8 0.34 0.42 0.42 2.22* 0.24 6.37 0.00
9 3.60* 0.45 1.02 0.38 0.11 4.44 0.01
10 0.37 3.34* 0.20 0.60 0.13 5.37 0.00
11 1.00 0.38 0.38 0.65 3.17* 4.41 0.01
12 0.97 0.27 0.28 3.84* 1.23 3.42 0.00
13 0.16 0.27 0.46 2.99* 0.33 5.78 0.01
14 0.35 0.36 3.33 1.24* 0.44 4.27 0.00
15 0.31 0.43 1.51* 0.67 0.73 6.35 0.00
16 0.27 0.38 0.66 0.67* 0.35 7.68 0.00
17 1.79* 0.94 1.22 0.33 0.37 5.35 0.00
18 0.48* 0.46 0.36 0.29 0.15 8.25 0.00
19 0.95 2.48* 0.99 0.53 0.81 4.25 0.00
20 0.34 0.23 0.18 0.16 0.30* 8.79 0.01
21 0.47 0.48 0.49* 0.22 0.06 8.27 0.01
22 0.31 0.66* 0.28 0.39 0.16 8.20 0.00
23 0.58 0.74* 0.35 0.25 0.55 7.54 0.00
24 0.14 0.16* 0.25 0.23 0.08 9.14 0.00
25 0.33 0.29 0.14* 0.19 0.14 8.90 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
2005 AMC 10 B Results for Michigan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
150.0 1 125.0 100.0 1
149.5 124.5 99.5 1 3
149.0 124.0 99.0 2
148.5 123.5 98.5 1 2
148.0 123.0 3 98.0 2 4
147.5 122.5 1 97.5 1
147.0 122.0 97.0 4 1
146.5 121.5 1 1 96.5 1 1
146.0 121.0 96.0 4 2
145.5 120.5 2 95.5 3 1
145.0 120.0 1 95.0 2 2
144.5 119.5 1 94.5 2 3
144.0 119.0 94.0
143.5 118.5 1 93.5 2 2
143.0 118.0 93.0 3 2
142.5 117.5 92.5 2 3
142.0 117.0 1 92.0 5 1
141.5 116.5 1 91.5 3
141.0 116.0 1 1 91.0 4 3
140.5 115.5 1 90.5 3
140.0 115.0 90.0 1 4
139.5 114.5 2 89.5 1 2
139.0 114.0 89.0 3 4
138.5 113.5 88.5 6 2
138.0 1 113.0 88.0 2
137.5 112.5 87.5 2
137.0 112.0 1 87.0 1
136.5 111.5 1 1 86.5 7 2
136.0 111.0 2 86.0 2 3
135.5 110.5 85.5 3 4
135.0 110.0 3 3 85.0 2 3
134.5 109.5 84.5 1 2
134.0 109.0 4 84.0 9 1
133.5 108.5 1 83.5 2 4
133.0 108.0 83.0 2 3
132.5 107.5 6 1 82.5 1 2
132.0 1 107.0 82.0 2
131.5 106.5 4 81.5 3 2
131.0 1 106.0 81.0 2
130.5 105.5 1 80.5 3 3
130.0 105.0 2 80.0 2
129.5 104.5 1 1 79.5 4 3
129.0 104.0 2 2 79.0 7 1
128.5 103.5 1 78.5 2 1
128.0 103.0 3 1 78.0 6 2
127.5 1 102.5 1 77.5 5 1
127.0 102.0 1 3 77.0 5 5
126.5 1 101.5 1 76.5 2 2
126.0 101.0 1 76.0 4
125.5 100.5 1 75.5 5
American Mathematics Competitions
2005 AMC 10 B Results for Michigan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 1 50.0 1 25.0
74.5 2 3 49.5 2 24.5
74.0 1 49.0 1 24.0
73.5 4 2 48.5 23.5
73.0 1 3 48.0 1 1 23.0
72.5 1 4 47.5 2 22.5
72.0 1 4 47.0 22.0
71.5 3 1 46.5 21.5
71.0 2 1 46.0 21.0
70.5 1 45.5 1 20.5
70.0 4 1 45.0 20.0
69.5 4 3 44.5 19.5
69.0 3 44.0 19.0
68.5 1 4 43.5 2 1 18.5
68.0 4 1 43.0 1 18.0 1
67.5 42.5 1 17.5
67.0 3 42.0 1 1 17.0
66.5 3 1 41.5 16.5
66.0 1 1 41.0 1 16.0
65.5 1 40.5 15.5
65.0 1 1 40.0 2 15.0
64.5 3 1 39.5 1 14.5
64.0 1 1 39.0 1 14.0
63.5 1 38.5 13.5
63.0 1 38.0 1 13.0
62.5 3 4 37.5 1 12.5
62.0 3 37.0 12.0 1
61.5 1 1 36.5 11.5
61.0 1 36.0 1 1 11.0
60.5 1 35.5 10.5
60.0 2 2 35.0 10.0
59.5 1 34.5 1 9.5
59.0 2 2 34.0 9.0
58.5 3 33.5 8.5
58.0 33.0 8.0
57.5 2 1 32.5 7.5
57.0 1 1 32.0 1 7.0
56.5 1 31.5 6.5
56.0 31.0 6.0
55.5 1 1 30.5 1 5.5
55.0 30.0 3 1 5.0
54.5 2 29.5 4.5
54.0 1 1 29.0 1 4.0
53.5 1 28.5 3.5
53.0 28.0 3.0
52.5 27.5 2.5
52.0 1 1 27.0 2.0
51.5 26.5 1 1.5
51.0 26.0 1.0
50.5 3 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 10 B Results for Michigan
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 unknown
---------------------------
150.0 1
138.0 1
132.0 1
131.0 1
127.5 1
126.5 1
123.0 1 1 1
122.5 1
121.5 1 1
120.5 2
120.0 1
119.5 1
118.5 1
117.0 1
116.5 1
116.0 2
115.5 1
114.5 1 1
112.0 1
111.5 1 1
111.0 1 1
110.0 1 1 3 1
109.0 1 2 1
108.5 1
107.5 4 3
106.5 2 2
105.5 2
105.0 1 1
104.5 1 1
104.0 4
103.5 1
103.0 1 3
102.5 1
102.0 1 1 1 1
101.5 2
101.0 1
100.5 1
100.0 1
99.5 4 1
99.0 1 1
98.5 2 1
98.0 2 4
97.5 1
97.0 1 4
96.5 1 1
96.0 2 4
95.5 1 1 2
95.0 1 2 1
94.5 1 1 2 1
93.5 2 2
93.0 5
92.5 1 4
92.0 1 2 3
91.5 2 1
91.0 3 4
90.5 1 3
90.0 6
89.5 2 1
89.0 1 4 3
88.5 2 1 5
88.0 1 1
87.5 1 2
87.0 1
86.5 1 5 3
86.0 2 3
85.5 4 3
85.0 1 5
84.5 1 2
84.0 1 5 4
83.5 1 3 3
83.0 4 1 1
82.5 1 3
82.0 2
81.5 4 1
81.0 1 1
80.5 1 2 3
80.0 1 1
79.5 5 3
79.0 5 2 1
78.5 3
78.0 2 6
77.5 4 2
77.0 9 1
76.5 1 2 2
76.0 4
75.5 3 2
75.0 1
74.5 3 2
74.0 1
73.5 2 4
73.0 1 3
72.5 1 4
72.0 2 3
71.5 2 2
71.0 1 2
70.5 1
70.0 1 1 2 1
69.5 4 3
69.0 2 1
68.5 1 2 1 2
68.0 2 3
67.0 2 1
66.5 4
66.0 2 1
65.5 1
65.0 1 1
64.5 2 1 1
64.0 1 1
63.5 1
63.0 1
62.5 1 2 4 1
62.0 1 2
61.5 2
61.0 1
60.5 1
60.0 1 3
59.5 1
59.0 2 2
58.5 1 1 1
57.5 1 2
57.0 2
56.5 1
56.0 1
55.5 1 1
54.5 1 1
54.0 1 1
53.5 1
53.0 1
52.0 1 1
50.5 1 2
50.0 1
49.5 2
49.0 1
48.0 1 1
47.5 1 1
45.5 1
43.5 2 1
43.0 1
42.5 1
42.0 2
41.0 1
40.0 1 1
39.5 1
39.0 1
38.0 1
37.5 1
36.0 1 1
34.5 1
32.0 1
30.5 1
30.0 2 1 1 1
29.0 1
26.5 1
18.0 1
12.0 1
American Mathematics Competitions
2005 AMC 10 B Results for Michigan
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 8.63* 0.48 0.23 0.17 0.37 0.12 0.00
2 0.08 0.12 0.06 8.92* 0.21 0.60 0.00
3 0.02 0.79 1.73 6.01* 1.23 0.23 0.00
4 0.62 0.12 0.48 5.41* 0.27 3.10 0.00
5 0.12 0.12 8.92* 0.08 0.44 0.31 0.00
6 0.21 8.54* 0.29 0.25 0.23 0.48 0.00
7 0.89 1.91* 0.27 1.08 0.77 5.05 0.02
8 6.59* 0.15 0.73 0.08 0.10 2.35 0.00
9 0.62 0.73 1.83 5.16* 0.48 1.19 0.00
10 2.02* 1.29 0.67 0.25 0.29 5.49 0.00
11 0.27 0.67 0.29 1.81 2.52* 4.45 0.00
12 0.60 1.00 0.58 0.29 0.58* 6.94 0.00
13 0.54 0.56 2.35* 1.89 0.37 4.28 0.00
14 0.44 0.29 3.06* 1.33 0.50 4.39 0.00
15 1.27 0.69 0.91 4.18* 0.50 2.43 0.02
16 0.31 0.77 0.87 0.73* 0.06 7.26 0.00
17 0.69 3.10* 0.91 0.31 0.25 4.74 0.00
18 0.37 4.12 1.23 2.60* 0.62 1.06 0.00
19 0.69 5.84* 0.44 0.58 0.54 1.91 0.00
20 0.29 0.52 1.39* 0.35 0.37 7.07 0.00
21 0.50* 0.48 0.44 0.27 0.23 8.09 0.00
22 0.52 1.31 0.71* 0.44 0.40 6.63 0.00
23 2.97 0.96 0.46* 0.25 0.23 5.14 0.00
24 0.35 0.31 0.37 0.35 1.39* 7.21 0.00
25 0.35 0.37 3.89* 0.37 0.17 4.84 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
2005 AMC 12 B Results for Michigan
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 6 1
149.0 124.0 1 99.0
148.5 123.5 98.5 6 5
148.0 123.0 98.0
147.5 122.5 97.5 3
147.0 122.0 97.0 6 3
146.5 121.5 96.5
146.0 121.0 96.0 9 8
145.5 120.5 1 95.5 2
145.0 120.0 95.0 11 6
144.5 119.5 1 94.5 1
144.0 119.0 94.0 5 2
143.5 118.5 93.5 4 2
143.0 1 118.0 2 93.0 1
142.5 117.5 92.5 9 4
142.0 117.0 1 92.0 2 1
141.5 116.5 91.5 4 5
141.0 116.0 7 91.0 4
140.5 115.5 90.5 2 1
140.0 115.0 1 90.0 7 3
139.5 114.5 89.5 2
139.0 114.0 89.0 14 3
138.5 113.5 1 1 88.5 3 2
138.0 113.0 88.0 6 8
137.5 112.5 5 87.5 6 1
137.0 112.0 1 87.0 3
136.5 111.5 2 86.5 4 6
136.0 111.0 1 86.0 2
135.5 110.5 85.5 4 4
135.0 110.0 1 1 85.0 4
134.5 109.5 84.5 3 1
134.0 109.0 3 1 84.0 10 5
133.5 1 108.5 1 83.5 1
133.0 108.0 3 83.0 5 3
132.5 1 107.5 2 1 82.5 4 1
132.0 107.0 82.0 1 2
131.5 106.5 6 1 81.5 4 6
131.0 106.0 81.0 1 3
130.5 105.5 6 2 80.5 8 7
130.0 1 105.0 2 80.0 3 3
129.5 104.5 5 2 79.5 7 6
129.0 1 104.0 2 1 79.0 5
128.5 103.5 78.5 2 3
128.0 103.0 4 2 78.0 2 1
127.5 102.5 2 77.5 1 1
127.0 102.0 5 1 77.0 4 4
126.5 101.5 1 76.5 1
126.0 101.0 2 3 76.0 3 4
125.5 1 100.5 5 75.5 3 3
American Mathematics Competitions
2005 AMC 12 B Results for Michigan
SCORE DISTRIBUTION
GENDER
Score # Students Score # Students Score # Students
male female male female male female
75.0 2 3 50.0 25.0
74.5 5 6 49.5 1 24.5
74.0 1 49.0 24.0
73.5 1 48.5 1 1 23.5
73.0 3 48.0 2 1 23.0
72.5 2 3 47.5 22.5
72.0 5 3 47.0 22.0
71.5 46.5 21.5
71.0 2 46.0 21.0
70.5 3 1 45.5 20.5
70.0 4 45.0 20.0
69.5 1 2 44.5 19.5
69.0 5 44.0 19.0
68.5 2 2 43.5 18.5
68.0 1 2 43.0 18.0
67.5 1 2 42.5 17.5
67.0 42.0 17.0
66.5 1 1 41.5 16.5
66.0 2 3 41.0 16.0
65.5 2 40.5 15.5
65.0 3 2 40.0 15.0
64.5 1 39.5 14.5
64.0 1 39.0 14.0
63.5 2 38.5 13.5
63.0 1 38.0 13.0
62.5 2 1 37.5 12.5
62.0 1 37.0 12.0
61.5 1 36.5 11.5
61.0 36.0 11.0
60.5 1 1 35.5 10.5
60.0 2 35.0 10.0
59.5 34.5 9.5
59.0 1 34.0 1 9.0
58.5 1 33.5 8.5
58.0 2 33.0 8.0
57.5 32.5 7.5
57.0 2 32.0 7.0
56.5 3 31.5 6.5
56.0 1 31.0 6.0
55.5 30.5 5.5
55.0 1 30.0 5.0
54.5 29.5 4.5
54.0 2 2 29.0 4.0
53.5 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 1 26.0 1.0
50.5 25.5 .5
0.0 0 0
American Mathematics Competitions
2005 AMC 12 B Results for Michigan
SCORE DISTRIBUTION
score -----------grade-----------
6 7 8 9 10 11 12 13 unknown
---------------------------
143.0 1
133.5 1
132.5 1
130.0 1
129.0 1
125.5 1
124.0 1
120.5 1
119.5 1
118.0 1 1
117.0 1
116.0 2 1 3 1
115.0 1
113.5 1 1
112.5 1 3 1
112.0 1
111.5 1 1
111.0 1
110.5 1
110.0 1 1
109.0 1 3
108.5 1
108.0 1 1 1
107.5 1 1 1
106.5 1 2 4
105.5 1 3 3 1
105.0 1 1
104.5 3 4
104.0 3
103.0 1 1 4
102.5 1 1
102.0 1 1 4
101.5 1
101.0 1 4
100.5 1 2 2
100.0 1
99.5 1 1 1 1 3
98.5 4 7
97.5 2 1
97.0 4 5
96.0 1 13 3
95.5 1 1
95.0 1 8 8
94.5 2
94.0 4 3
93.5 3 3
93.0 1
92.5 1 7 6
92.0 1 1 2
91.5 1 2 4 2
91.0 1 3
90.5 1 2
90.0 1 4 8
89.5 1 1
89.0 1 11 6
88.5 1 2 2
88.0 1 1 4 8
87.5 6 1
87.0 2 1
86.5 2 4 4
86.0 1 1
85.5 1 1 5 1
85.0 1 3 1
84.5 1 2 1
84.0 1 2 8 5
83.5 1
83.0 1 2 3 3
82.5 5
82.0 3 1
81.5 1 8 2
81.0 2 2
80.5 1 1 1 7 6
80.0 1 3 2
79.5 2 6 5
79.0 1 3 1
78.5 3 2
78.0 2 2
77.5 1 1
77.0 6 2
76.5 1
76.0 5 3
75.5 4 2
75.0 3 2
74.5 1 9 2 1
74.0 1
73.5 1 1
73.0 3
72.5 4 1
72.0 5 4
71.0 2
70.5 1 2 1
70.0 1 4
69.5 3
69.0 1 4
68.5 1 4
68.0 2 1
67.5 2 1
66.5 2
66.0 1 4 1
65.5 2
65.0 1 3 1 1
64.5 1
64.0 1
63.5 1 1
63.0 1
62.5 2 1
62.0 1
61.5 1
60.5 1 1
60.0 2
59.5 1
59.0 1
58.5 1
58.0 1 1
57.0 1 1
56.5 1 2
56.0 1
55.5 1
55.0 1
54.0 2 2
51.0 1
49.5 1
48.5 1 1
48.0 1 2
44.0 1
34.0 1
American Mathematics Competitions
2005 AMC 12 B Results for Michigan
Analysis
Table of Item Difficulty for the 2005
American High School Mathematics Examination
Tabulation of responses for all Participants
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 9.35* 0.22 0.16 0.05 0.18 0.04 0.00
2 0.00 0.07 0.05 9.58* 0.14 0.14 0.00
3 0.05 0.02 9.42* 0.16 0.18 0.16 0.00
4 0.04 9.37* 0.09 0.11 0.18 0.22 0.00
5 8.41* 0.07 0.40 0.02 0.00 1.10 0.00
6 4.00* 0.80 0.56 0.34 0.14 4.16 0.00
7 1.43 1.37 0.18 2.73* 0.63 3.65 0.00
8 0.98 1.25 5.24* 0.05 0.85 1.63 0.00
9 0.31 8.19* 0.18 0.27 0.27 0.78 0.00
10 0.18 0.42 0.25 1.77 4.01* 3.36 0.00
11 1.14 0.92 0.74 4.85* 0.25 2.10 0.00
12 0.24 0.71 0.83 1.21* 0.09 6.93 0.00
13 0.60 0.20 0.29 2.30* 0.20 6.42 0.00
14 0.81 1.37 0.65 0.27 1.12* 5.77 0.00
15 0.33 0.27 0.33 5.03* 0.60 3.45 0.00
16 0.16 0.22 1.16 1.01* 0.18 7.27 0.00
17 0.34 0.92* 0.24 0.24 0.56 7.70 0.00
18 1.56 0.54 0.42* 0.29 0.31 6.89 0.00
19 0.25 0.14 0.18 0.29 2.80* 6.33 0.00
20 0.07 0.29 5.28* 0.65 1.56 2.15 0.00
21 0.18 0.27 0.90* 0.29 0.31 8.05 0.00
22 0.36 0.65 0.33 0.18 0.04* 8.44 0.00
23 0.14 0.33* 0.24 0.09 0.09 9.11 0.00
24 0.24* 0.16 0.38 0.42 0.24 8.57 0.00
25 0.24* 0.36 0.18 0.29 0.47 8.46 0.00
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked in the same column