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           2006 AMC8 Report for all schools in Minnesota               

           Number of schools returning results       46
           Average of school highest score        18.57
           Average school team score              50.61

           # of State Student Participants         2931
           Overall State Average Score            10.28

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              30           6.10
                    6th             162           9.80
                    7th            1027           9.88
                    8th            1678          10.70



           Number of Female Students               1317
           Average Score of Female Students        9.98

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               15           5.47
                   6th               73           9.11
                   7th              453           9.60
                   8th              763          10.40



           Number of Male Participants             1572
           Average Score of Male Participants     10.53

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               15           6.73
                   6th               89          10.36
                   7th              566          10.08
                   8th              888          10.94




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            1            0            1
                  24            3            1            5
                  23            6            2            8
                  22            6            0            6
                  21            6            1            7
                  20           10            6           16
                  19           14           11           26
                  18           21           17           39
                  17           34           13           48
                  16           49           18           67
                  15           63           43          109
                  14           87           61          149
                  13          109          118          230
                  12          161          118          283
                  11          154          125          283
                  10          193          162          360
                   9          178          165          348
                   8          153          148          305
                   7          137          112          253
                   6           83           88          173
                   5           59           66          127
                   4           25           26           51
                   3           12           14           26
                   2            4            1            6
                   1            0            0            0
                   0  (@)       0            1            1
                   0  ($)       4            0            4



           (@)  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            1
              24          0            0            2            3
              23          0            0            2            6
              22          0            1            1            4
              21          0            1            0            6
              20          0            3            5            8
              19          0            0            8           18
              18          0            0           15           24
              17          0            4           14           30
              16          0            2           22           43
              15          2            4           32           71
              14          0            4           38          107
              13          0           15           68          144
              12          1           12           87          183
              11          0           17           99          164
              10          2           20          135          199
               9          0           11          130          201
               8          3           14          124          161
               7          2           28           82          134
               6          1           12           70           88
               5          9            9           48           59
               4          4            3           29           15
               3          4            2           10            7
               2          2            0            1            2
               1          0            0            0            0
               0(@)       0            0            5            0
               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    2931 Students
                             Percent of Responses


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

      1    0.10      0.61      3.75     94.40*     0.96      0.17      0.00
      2    3.38      1.60     92.66*     0.55      1.36      0.44      0.00
      3   50.70*     7.03     20.44     11.74      8.80      1.26      0.03
      4    3.38     71.00*    10.64     10.44      4.06      0.44      0.03
      5    8.39      3.72      4.13     65.68*    16.48      1.50      0.10
      6    4.64     18.22     61.14*     6.04      9.59      0.38      0.00
      7   35.31     20.03*    11.50     15.46     16.41      1.19      0.10
      8    9.08      4.23     10.99     10.92     63.56*     0.99      0.24
      9   30.81     15.42     29.34*    10.13     11.87      2.39      0.03
     10   24.97*    34.08     23.23      9.42      6.89      1.30      0.10
     11   19.45     33.33     15.05*    19.38      9.38      3.34      0.07
     12    5.32      6.52     27.94     50.94*     7.92      1.33      0.03
     13    7.44     15.97     31.08     26.34*    15.49      3.55      0.14
     14    5.63     78.47*     4.81      5.87      3.65      1.50      0.07
     15   19.07     11.19     42.51*    11.98     11.09      4.06      0.10
     16   15.86     19.96     22.42     14.02     20.95*     6.79      0.00
     17    8.05     26.31*    11.16     37.12     12.83      4.40      0.14
     18    9.93     12.79     22.28     21.39*    26.92      6.65      0.03
     19    9.42     13.27     11.43     52.78*     6.21      6.79      0.10
     20   11.77     20.50     31.25*    17.09     11.36      7.98      0.03
     21   19.11*    15.80     17.64     20.27     16.75     10.27      0.17
     22   19.45     29.96     17.78     15.97*     6.21     10.41      0.24
     23   19.96*    15.18     17.81     11.91     23.00     11.63      0.51
     24   14.12*    15.42     24.63     19.00     13.07     13.72      0.03
     25   16.24     19.75*    18.73     16.31     14.26     14.57      0.14


   (*)  Correct Response

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