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           2006 AMC8 Report for all schools in North Carolina          

           Number of schools returning results       85
           Average of school highest score        18.62
           Average school team score              51.28

           # of State Student Participants         8671
           Overall State Average Score             9.83

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              42           7.48
                    6th            1507           8.10
                    7th            2932           9.51
                    8th            3978          10.76



           Number of Female Students               4256
           Average Score of Female Students        9.51

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               24           7.25
                   6th              715           7.77
                   7th             1427           9.11
                   8th             2044          10.45



           Number of Male Participants             4201
           Average Score of Male Participants     10.15

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               18           7.78
                   6th              775           8.41
                   7th             1482           9.90
                   8th             1884          11.09




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            5            3            8
                  24            7            2            9
                  23           12            0           14
                  22           19            1           21
                  21           30            8           39
                  20           25           13           38
                  19           35           20           57
                  18           58           37           95
                  17          101           50          156
                  16          114           81          200
                  15          152          114          273
                  14          192          167          366
                  13          269          251          539
                  12          315          352          679
                  11          385          404          812
                  10          459          491          974
                   9          460          489          969
                   8          467          533         1021
                   7          406          476          905
                   6          293          320          628
                   5          232          235          482
                   4          109          119          235
                   3           36           64          102
                   2           14           19           35
                   1            1            5            7
                   0  (@)       2            0            2
                   0  ($)       3            2            5



           (@)  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            1            7
              24          0            1            1            7
              23          0            2            4            8
              22          0            3            3           15
              21          0            2            9           28
              20          0            2            7           29
              19          0            2           11           43
              18          0            5           23           67
              17          0            5           44          102
              16          1            7           53          132
              15          0           15           67          186
              14          1           19          127          214
              13          1           43          155          322
              12          0           69          235          362
              11          3           99          257          431
              10          4          136          344          463
               9          4          184          361          398
               8          6          240          380          376
               7          4          208          347          319
               6          9          190          205          215
               5          3          141          172          149
               4          1           80           78           68
               3          4           34           35           25
               2          0           14           11            8
               1          1            4            0            1
               0(@)       0            2            2            3
               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    8671 Students
                             Percent of Responses


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

      1    0.22      0.32      2.98     95.68*     0.67      0.14      0.00
      2    4.83      3.21     82.89*     2.43      5.57      1.07      0.00
      3   46.36*     6.03     26.04     11.35      8.85      1.34      0.03
      4    3.99     65.06*    14.19     10.52      5.93      0.31      0.01
      5   10.54      4.31      5.47     62.82*    15.04      1.78      0.05
      6    4.64     19.31     57.11*     7.27     11.12      0.54      0.02
      7   42.82     19.55*     9.50     11.96     14.93      1.12      0.12
      8    9.30      5.09     10.86     11.12     62.09*     1.36      0.18
      9   27.03     15.52     32.55*    11.72      9.68      3.45      0.06
     10   22.90*    33.03     22.10     10.62      9.55      1.75      0.05
     11   20.37     31.52     18.50*    17.44      8.70      3.45      0.03
     12    5.06      6.39     37.55     39.57*     9.76      1.55      0.13
     13    7.98     17.18     29.96     25.06*    15.87      3.82      0.13
     14    5.73     79.86*     4.45      4.90      3.08      1.94      0.03
     15   18.82     10.19     45.81*    10.91      8.91      5.25      0.10
     16   15.02     19.49     22.26     12.89     21.81*     8.46      0.07
     17    8.15     23.99*    12.95     36.26     12.36      6.16      0.13
     18    9.77     13.07     23.38     21.14*    23.70      8.85      0.10
     19    9.12     13.37     13.45     50.54*     4.62      8.76      0.14
     20   10.56     20.92     30.73*    16.64     10.37     10.62      0.15
     21   15.40*    14.70     18.97     22.93     14.38     13.50      0.12
     22   18.39     27.45     18.18     14.85*     6.61     14.38      0.14
     23   17.77*    14.52     18.63     11.49     20.80     16.54      0.25
     24   12.31*    15.18     26.13     17.22     10.85     18.15      0.16
     25   14.20     18.20*    21.53     14.52     12.35     19.17      0.03


   (*)  Correct Response

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