2004 AMC8 Report for all schools in Michigan
Number of schools returning results 110
Average of school highest score 17.02
Average school team score 47.44
# of State Student Participants 7818
Overall State Average Score 9.22
Average Score by Grade level
Grade # of Students Average
5th 67 9.16
6th 1070 8.07
7th 2816 8.89
8th 3802 9.78
Number of Female Students 3768
Average Score of Female Students 8.83
Average Female Scores by Grade
Grade # of Students Average
5th 19 9.00
6th 507 7.53
7th 1322 8.50
8th 1903 9.39
Number of Male Participants 3947
Average Score of Male Participants 9.59
Average score for Males by Grade
Grade # of Students Average
5th 48 9.23
6th 557 8.55
7th 1458 9.23
8th 1850 10.19
2004 American Mathematics Contest 8
Number of Students Achieving Indicated Score
SCORE MALE FEMALE TOTAL*
25 1 2 3
24 2 1 3
23 6 2 8
22 13 4 17
21 12 8 20
20 27 7 34
19 22 11 33
18 56 20 76
17 53 27 81
16 89 50 141
15 135 85 224
14 153 130 288
13 237 171 414
12 271 234 512
11 358 297 659
10 389 376 782
9 460 468 941
8 431 482 924
7 397 455 860
6 347 367 720
5 248 260 516
4 123 171 301
3 83 89 173
2 24 35 61
1 4 10 14
0 (@) 0 1 1
0 ($) 6 5 12
(@) These students attempted some of the problems
($) These students attempted none of the problems
(*) Total includes students who failed to mark their gender
2004 American Mathematics Contest 8
Number of Students by Grade
Achieving indicated Score
SCORE 5th Grade 6th Grade 7th Grade 8th Grade
25 0 0 0 3
24 0 0 0 3
23 0 0 3 5
22 0 2 8 7
21 0 0 6 14
20 0 0 11 23
19 0 4 10 18
18 0 8 21 47
17 1 4 20 56
16 3 12 39 85
15 4 11 72 134
14 0 15 93 178
13 6 21 126 257
12 7 51 179 270
11 4 69 218 364
10 4 96 272 403
9 8 143 326 455
8 6 155 341 414
7 5 141 351 360
6 5 126 276 306
5 9 87 225 191
4 1 69 108 120
3 2 40 78 53
2 1 14 24 22
1 1 2 4 7
0(@) 0 0 5 7
0($) 0 0 0 0
(@) These students attempted some of the problems
($) These students attempted none of the problems
Note: Some students failed to indicate a grade
Table of Item Difficulty for the 2004
American Mathematics Contest 8
Tabulation of responses by 7818 Students
Percent of Responses
ITEM A B C D E OMITS ?
____ _____ _____ _____ _____ _____ _____ _____
1 1.82 88.08* 5.35 1.51 2.76 0.47 0.01
2 7.82 41.31* 38.69 10.69 0.95 0.51 0.03
3 70.45* 15.85 7.16 3.49 1.97 1.01 0.06
4 4.35 49.25* 20.50 12.14 12.94 0.77 0.05
5 10.30 3.01 23.60 53.15* 9.57 0.32 0.06
6 22.63 16.94 47.48* 7.04 5.05 0.84 0.03
7 2.61 36.30* 5.36 51.27 3.94 0.45 0.08
8 25.26 47.08* 11.31 5.53 9.25 1.45 0.13
9 11.54 15.90 16.30 34.16* 20.13 1.87 0.10
10 4.04 7.42 6.15 26.43 55.00* 0.82 0.14
11 8.38 24.30 53.72* 7.12 5.17 1.24 0.06
12 21.87 21.83* 16.07 26.22 12.46 1.51 0.04
13 36.26 7.41 14.12 18.56 22.15* 1.38 0.12
14 13.71 28.78 36.76* 14.61 3.88 2.19 0.08
15 15.25 15.94 33.05* 16.50 17.27 1.92 0.08
16 7.47 13.64 17.56* 6.38 52.29 2.53 0.13
17 6.60 24.15 26.89 20.99* 18.70 2.58 0.09
18 42.39* 7.11 19.93 19.35 7.18 3.93 0.12
19 25.08 34.60* 17.79 8.79 8.14 5.45 0.15
20 13.17 23.09 28.19 20.91* 9.29 5.26 0.09
21 12.87 20.22 19.01 23.82* 18.53 5.49 0.06
22 10.37 14.75* 12.93 9.66 45.84 6.20 0.24
23 42.91 8.62 8.71 19.42* 13.80 6.28 0.26
24 16.49 22.21 24.49* 15.61 12.02 9.07 0.12
25 17.61 27.09 15.27 13.00* 17.73 9.21 0.09
(*) Correct Response
(?) Response the computer was unable to read due to incomplete
erasures or two answers marked for the same problem