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           2006 AMC8 Report for all schools in Wisconsin               

           Number of schools returning results       48
           Average of school highest score        16.56
           Average school team score              44.56

           # of State Student Participants         2107
           Overall State Average Score             9.25

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th               7           6.43
                    6th             136           9.07
                    7th             667           8.61
                    8th            1272           9.61



           Number of Female Students               1021
           Average Score of Female Students        8.96

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th                2           4.00
                   6th               64           8.09
                   7th              355           8.54
                   8th              594           9.32



           Number of Male Participants             1052
           Average Score of Male Participants      9.53

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th                5           7.40
                   6th               69           9.91
                   7th              305           8.75
                   8th              661           9.84




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            2            0            2
                  24            0            0            0
                  23            3            0            3
                  22            2            0            2
                  21            3            0            3
                  20            4            0            4
                  19            6            2            8
                  18            8            7           15
                  17            9            5           14
                  16           17            6           24
                  15           22           21           44
                  14           52           28           81
                  13           55           46          104
                  12          102           77          185
                  11           94           98          194
                  10           96          131          229
                   9          147          143          294
                   8          119          124          249
                   7          120          141          262
                   6           73           73          148
                   5           60           57          121
                   4           30           33           64
                   3           17           19           36
                   2            8            3           11
                   1            1            1            2
                   0  (@)       0            1            1
                   0  ($)       2            5            7



           (@)  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            2
              24          0            0            0            0
              23          0            0            1            2
              22          0            1            1            0
              21          0            1            0            2
              20          0            1            1            2
              19          0            0            2            6
              18          0            1            7            7
              17          0            1            4            9
              16          0            2            1           21
              15          0            1            9           34
              14          0            5           18           55
              13          0            6           26           70
              12          1           10           51          119
              11          1            9           51          132
              10          0            9           67          149
               9          0           29           76          187
               8          0           14           90          141
               7          0           16           94          150
               6          0           10           63           73
               5          2            8           54           57
               4          3           10           25           25
               3          0            2           14           20
               2          0            0            6            5
               1          0            0            0            2
               0(@)       0            0            6            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    2107 Students
                             Percent of Responses


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

      1    0.43      0.81      5.55     91.74*     1.04      0.43      0.00
      2    4.32      3.99     84.39*     2.61      3.56      1.14      0.00
      3   38.78*     7.21     26.29     15.71     10.73      1.28      0.00
      4    5.13     63.08*    14.86     10.30      5.98      0.47      0.19
      5    7.50      4.79      4.70     62.84*    19.13      1.00      0.05
      6    6.31     25.44     47.56*     7.40     12.62      0.66      0.00
      7   45.37     13.48*    10.06     16.75     13.10      1.00      0.24
      8   10.20      6.03     12.48     12.24     58.00*     0.81      0.24
      9   26.63     18.08     30.09*    11.68     11.44      2.04      0.05
     10   17.89*    36.02     23.26     12.81      9.11      0.90      0.00
     11   20.98     33.89     14.05*    19.74      8.83      2.42      0.09
     12    5.13      6.60     37.59     40.25*     9.54      0.81      0.09
     13    8.88     18.75     28.19     25.30*    16.85      1.76      0.28
     14    8.50     77.50*     4.27      5.27      3.56      0.76      0.14
     15   24.68     11.25     37.64*    13.62     10.58      2.18      0.05
     16   18.27     19.13     23.49     13.53     22.07*     3.42      0.09
     17    8.12     21.26*    11.91     41.58     14.95      2.14      0.05
     18    9.78     15.23     21.69     20.03*    29.52      3.56      0.19
     19   10.39     15.28     13.34     51.45*     6.07      3.32      0.14
     20   12.15     22.35     29.66*    18.27     13.48      3.89      0.19
     21   16.04*    15.99     18.32     24.21     20.03      5.22      0.19
     22   24.73     29.38     19.41     13.91*     7.17      5.22      0.19
     23   15.99*    17.23     19.65     12.24     28.10      6.50      0.28
     24   13.86*    18.13     28.10     18.94     13.05      7.74      0.19
     25   18.18     18.32*    20.31     17.04     18.04      8.02      0.09


   (*)  Correct Response

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