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           2010 AMC8 Report for all schools in Michigan                

           Number of schools returning results       55
           Average of school highest score        17.53
           Average school team score              47.80

           # of State Student Participants         4323
           Overall State Average Score             8.78

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              83           9.81
                    6th             662           7.94
                    7th            1607           8.47
                    8th            1914           9.30



           Number of Female Students               1966
           Average Score of Female Students        8.13

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               20           6.30
                   6th              303           7.58
                   7th              719           7.80
                   8th              908           8.63



           Number of Male Participants             2249
           Average Score of Male Participants      9.32

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               60          10.87
                   6th              348           8.24
                   7th              855           9.00
                   8th              959           9.92




                     2010 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25           11            1           12
                  24            7            1            8
                  23            6            3           10
                  22           15            4           20
                  21           12            3           15
                  20           16            3           19
                  19           14            9           24
                  18           19           11           31
                  17           38            4           43
                  16           47           18           65
                  15           50           20           71
                  14           66           25           95
                  13           95           46          146
                  12          138           91          239
                  11          164          129          304
                  10          197          182          390
                   9          252          239          502
                   8          261          291          566
                   7          311          253          576
                   6          201          249          465
                   5          171          178          353
                   4           91          133          227
                   3           49           56          107
                   2           14           12           26
                   1            2            2            4
                   0  (@)       1                         1
                   0  ($)       1            3            4



           (@)  These students attempted some of the problems
           ($)  These students attempted none of the problems
           (*)  Total includes students who failed to mark their gender

                         2010 American Mathematics Contest  8
                             Number of Students by Grade
                              Achieving indicated Score



            SCORE   5th Grade    6th Grade    7th Grade    8th Grade
              25                       1            4            7
              24                                    1            7
              23                       1            2            6
              22                       1            7           12
              21          1            3            3            8
              20                                    7           12
              19                       2            8           14
              18          2            4           13           12
              17          4            1           18           19
              16          4            7           19           34
              15          3            7           30           31
              14          3           15           32           45
              13          4           21           38           80
              12         10           28           65          131
              11          6           33          102          159
              10          7           49          141          189
               9          4           76          170          246
               8          7           81          233          237
               7          5           85          238          242
               6          3           89          163          204
               5         10           67          163          109
               4          5           54           93           71
               3          5           29           44           27
               2                       4           11           10
               1                       1            2
               0(@)                    3                         2
               0($)



           (@)  These students attempted some of the problems
           ($)  These students attempted none of the problems

           Note:  Some students failed to indicate a grade





                         2010 American Mathematics Contest  8
                             Number of Schools with 3+ students
                              Achieving team Scores



            SCORE   school count
              75          1
              74          2
              73          1
              69          2
              68          1
              66          2
              63          3
              61          2
              59          1
              58          1
              56          1
              54          2
              52          2
              49          1
              47          1
              46          2
              45          1
              44          1
              43          4
              42          2
              41          1
              40          3
              38          3
              37          3
              36          3
              35          3
              33          2
              32          1
              29          1
              27          1







                   Table of Item Difficulty for the 2010
                      American Mathematics Contest  8
                 Tabulation of responses by    4323 Students
                             Percent of Responses


    ITEM    A         B         C         D         E       OMITS       ?
    ____  _____     _____     _____     _____     _____     _____     _____

      1    1.50      3.05     93.52*     1.18      0.62      0.12      0.00
      2    5.81      2.52      3.26     56.74*    31.09      0.56      0.02
      3    8.91     26.76     57.18*     5.23      1.13      0.74      0.05
      4    8.74     12.61     52.39*    15.73     10.13      0.35      0.05
      5    9.65     59.26*    11.10      8.70     10.62      0.67      0.00
      6    6.59      6.62      3.89     13.44     69.00*     0.32      0.14
      7   35.65     30.97*    11.29      7.26     14.09      0.69      0.05
      8   25.65     26.95     20.80     19.29*     5.76      1.50      0.05
      9   13.97     10.87     33.43     33.84*     7.10      0.76      0.02
     10   21.30     22.32*    21.26     19.57     14.34      1.13      0.07
     11   20.08     54.50*     8.81     11.10      4.63      0.88      0.00
     12   43.63     17.88     12.54     17.05*     7.82*     0.99      0.09
     13   10.43     13.69     32.25     21.65     19.94*     1.94      0.09
     14   10.73     14.57     28.61*    24.36     19.66      2.01      0.05
     15   34.03     18.23     29.86*    11.50      4.67      1.64      0.07
     16   34.84     16.72*    11.33     18.83     15.87      2.31      0.09
     17   12.45     34.28     24.17     16.12*     9.81      3.05      0.12
     18   13.69     19.57     31.92*    16.61     15.38      2.71      0.12
     19   26.65     20.89     30.88*    12.07      5.74      3.63      0.14
     20   28.96*    19.01     24.64     14.53      9.18      3.61      0.07
     21    9.02     19.29     35.30*    19.43     11.89      4.95      0.12
     22   12.58     22.60     20.63     21.58     17.44*     4.95      0.21
     23   15.91     22.99*    24.43     19.82     11.06      5.62      0.16
     24   14.25*    25.86     17.65     24.50     12.38      5.18      0.19
     25   18.81     32.69     11.15     11.91     19.11*     6.27      0.07


   (*)  Correct Response

   (?)  Response the computer was unable to read due to incomplete
        erasures or two answers marked for the same problem