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           2009 AMC8 Report for all schools in Michigan                

           Number of schools returning results       67
           Average of school highest score        17.54
           Average school team score              48.30

           # of State Student Participants         4976
           Overall State Average Score             9.31

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              96           9.66
                    6th             685           8.76
                    7th            1801           9.05
                    8th            2296           9.63



           Number of Female Students               2300
           Average Score of Female Students        8.73

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               30           8.80
                   6th              303           8.19
                   7th              854           8.49
                   8th             1082           9.05



           Number of Male Participants             2547
           Average Score of Male Participants      9.82

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               65          10.02
                   6th              373           9.22
                   7th              916           9.58
                   8th             1151          10.16




                     2009 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            4                         4
                  24            3            3            6
                  23            7                         7
                  22            2            1            4
                  21            9                         9
                  20           12                        13
                  19           23            7           30
                  18           34           15           50
                  17           46           19           66
                  16           75           32          110
                  15           78           32          115
                  14          107           67          176
                  13          140          102          249
                  12          192          156          354
                  11          243          179          434
                  10          269          222          508
                   9          268          265          552
                   8          281          315          614
                   7          274          299          586
                   6          229          257          495
                   5          130          175          309
                   4           79           92          176
                   3           28           44           77
                   2            8           17           25
                   1            2            1            3
                   0  (@)
                   0  ($)       4                         4



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

                         2009 American Mathematics Contest  8
                             Number of Students by Grade
                              Achieving indicated Score



            SCORE   5th Grade    6th Grade    7th Grade    8th Grade
              25                       1            1            2
              24                                    2            3
              23                       1            1            5
              22                                                 4
              21          1            1            5            2
              20                       3            3            6
              19                       2            9           17
              18          2            5           14           28
              17          1            8           16           39
              16          2           11           37           58
              15          7           15           33           58
              14          5           17           58           89
              13          5           25           79          136
              12          6           35          127          183
              11         12           52          152          206
              10          9           58          197          230
               9          6           90          190          253
               8          5           98          235          265
               7          9           84          215          272
               6         11           79          191          208
               5          9           47          124          122
               4          3           30           70           71
               3          1           18           27           29
               2          2            5           10            8
               1                                    1            2
               0(@)                                 4
               0($)



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

           Note:  Some students failed to indicate a grade





                         2009 American Mathematics Contest  8
                             Number of Schools with 3+ students
                              Achieving team Scores



            SCORE   school count
              72          1
              70          2
              68          2
              65          2
              64          1
              62          1
              61          1
              58          1
              57          2
              56          3
              54          3
              53          3
              52          2
              51          1
              50          3
              49          1
              48          1
              47          1
              46          4
              45          4
              44          4
              43          5
              42          2
              41          2
              40          3
              39          1
              38          4
              37          1
              36          2
              34          1
              33          1
              27          1
              26          1







                   Table of Item Difficulty for the 2009
                      American Mathematics Contest  8
                 Tabulation of responses by    4976 Students
                             Percent of Responses


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

      1    0.22      0.48      2.85      2.85     93.43*     0.14      0.02
      2    3.36      3.78      4.14     84.69*     3.78      0.24      0.02
      3   14.93      3.01     78.44*     1.83      1.65      0.14      0.00
      4   11.21     62.60*     2.55     12.22     11.07      0.30      0.04
      5    7.64     19.27     20.94     47.09*     4.26      0.78      0.02
      6   59.18*    11.92     10.11      6.53     11.41      0.84      0.00
      7    3.42     10.45     32.58*    22.51     29.64      1.35      0.06
      8   28.58     18.21*    43.07      3.56      6.05      0.50      0.04
      9   16.22     33.44*    20.16     19.96      8.70      1.47      0.06
     10    4.88     28.22     14.01     42.14*    10.19      0.54      0.02
     11    6.11     15.94     26.49     30.69*    18.35      2.31      0.12
     12   21.89     29.40      5.67     33.32*     8.80*     0.80      0.12
     13    8.28     71.06*     6.67      9.61      3.64      0.66      0.08
     14    6.05      9.14*    74.56      5.23      3.94      1.09      0.00
     15   17.34     13.79     17.99     29.00*    19.75      2.11      0.02
     16   38.18     16.60     17.32     12.02*    13.75      2.03      0.10
     17   17.42     22.49*    23.35     19.09     14.07      3.48      0.10
     18   26.51     12.22     34.18*    13.65     10.87      2.47      0.10
     19   14.31     16.80     20.92     17.85*    26.41      3.48      0.24
     20   19.77     33.20     12.42     19.73*    11.17      3.54      0.16
     21   16.56     38.83     16.96     15.27*     7.23      4.92      0.22
     22   12.96     14.27     18.79     20.58*    28.66      4.56      0.18
     23   11.78     26.67*    17.97     25.26     12.48      5.69      0.16
     24   19.82     22.27     21.66     17.12     12.76*     6.27      0.10
     25   15.68     18.89     18.37     15.80     24.06*     7.11      0.10


   (*)  Correct Response

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