You are here

Missing Title


           2006 AMC8 Report for all schools in Michigan                

           Number of schools returning results       80
           Average of school highest score        17.64
           Average school team score              48.66

           # of State Student Participants         6310
           Overall State Average Score             9.34

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              70           8.80
                    6th             879           8.06
                    7th            2185           9.07
                    8th            3105           9.92



           Number of Female Students               3033
           Average Score of Female Students        9.00

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               31           8.58
                   6th              396           7.60
                   7th             1018           8.71
                   8th             1558           9.54



           Number of Male Participants             3189
           Average Score of Male Participants      9.68

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               38           9.13
                   6th              470           8.45
                   7th             1136           9.38
                   8th             1515          10.30




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            7            2            9
                  24           12            1           13
                  23            6            7           14
                  22            8            3           11
                  21           16            3           19
                  20           14            6           20
                  19           18            7           25
                  18           33           18           53
                  17           59           28           88
                  16           60           47          108
                  15           94           48          143
                  14          137           98          235
                  13          150          131          285
                  12          209          198          415
                  11          275          278          558
                  10          348          324          684
                   9          403          392          807
                   8          421          378          814
                   7          346          405          757
                   6          245          295          549
                   5          166          173          345
                   4          102          105          209
                   3           39           56           97
                   2           15           19           34
                   1            2            4            6
                   0  (@)       1            1            2
                   0  ($)       3            6           10



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

                         2006 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            9
              24          0            0            5            8
              23          0            1            3           10
              22          0            2            4            5
              21          0            3            8            8
              20          0            1            6           13
              19          0            3            6           16
              18          3            7           11           31
              17          1            7           20           60
              16          0            6           24           77
              15          3            8           36           96
              14          4           10           66          152
              13          2           23           83          172
              12          4           28          128          251
              11          3           49          194          302
              10          8           70          283          320
               9          8          115          288          387
               8          5          137          314          352
               7         10          123          273          339
               6          4          116          202          217
               5          3           85          114          141
               4          6           55           60           85
               3          3           18           39           37
               2          1            9           10           14
               1          1            0            4            1
               0(@)       1            3            4            2
               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 2006
                      American Mathematics Contest  8
                 Tabulation of responses by    6310 Students
                             Percent of Responses


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

      1    0.40      0.89      4.20     92.98*     1.35      0.16      0.03
      2    5.28      3.22     86.99*     1.58      2.46      0.48      0.00
      3   40.10*     7.43     26.29     14.01     11.30      0.81      0.06
      4    4.94     63.12*    13.30     12.39      5.86      0.35      0.03
      5    8.51      4.99      4.68     62.17*    18.53      1.05      0.08
      6    7.53     26.64     47.26*     6.96     11.09      0.51      0.02
      7   43.99     14.23*    10.22     15.85     14.88      0.82      0.00
      8    9.83      6.20     12.42     11.82     58.75*     0.82      0.16
      9   29.45     16.39     30.21*    11.55     11.06      1.28      0.06
     10   19.16*    37.04     22.55     11.62      8.61      1.00      0.03
     11   20.24     34.61     16.15*    18.54      8.40      1.93      0.13
     12    5.15      6.26     35.88     41.20*    10.76      0.74      0.00
     13    8.94     17.32     31.08     23.36*    17.59      1.62      0.10
     14    8.48     74.25*     5.67      6.12      4.41      0.94      0.14
     15   24.26     13.17     37.56*    12.69      9.71      2.54      0.06
     16   17.04     20.89     23.49     13.88     20.54*     4.14      0.03
     17    7.26     24.39*    12.03     39.64     13.90      2.69      0.10
     18   10.17     14.06     20.92     20.89*    29.52      4.33      0.11
     19   11.13     13.91     13.65     51.32*     5.53      4.33      0.14
     20   11.87     23.30     28.99*    17.77     12.63      5.39      0.06
     21   15.59*    14.04     20.33     23.58     19.48      6.75      0.22
     22   22.69     29.94     17.53     15.53*     7.10      7.08      0.13
     23   17.27*    16.50     18.97     12.35     26.86      7.84      0.21
     24   13.00*    17.27     28.67     18.67     13.03      9.16      0.21
     25   16.99     19.16*    20.92     17.13     15.64     10.14      0.02


   (*)  Correct Response

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