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           2006 AMC8 Report for all schools in Pennsylvania            

           Number of schools returning results      101
           Average of school highest score        17.78
           Average school team score              49.21

           # of State Student Participants         6945
           Overall State Average Score            10.31

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              48           9.02
                    6th             431           9.61
                    7th            2109           9.94
                    8th            4244          10.55



           Number of Female Students               3243
           Average Score of Female Students        9.90

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th               11           7.64
                   6th              192           9.08
                   7th              985           9.53
                   8th             2001          10.19



           Number of Male Participants             3592
           Average Score of Male Participants     10.67

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               35           9.40
                   6th              233          10.07
                   7th             1101          10.32
                   8th             2179          10.89




                     2006 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            3            0            3
                  24            8            1            9
                  23            1            1            2
                  22           10            1           13
                  21           19            6           25
                  20           22            4           27
                  19           34            3           37
                  18           51           14           65
                  17           84           31          116
                  16          101           69          172
                  15          137           96          237
                  14          209          161          376
                  13          279          227          511
                  12          373          322          705
                  11          385          387          786
                  10          447          394          859
                   9          459          442          917
                   8          355          390          758
                   7          254          277          539
                   6          179          208          391
                   5           97          122          221
                   4           50           59          112
                   3           25           13           38
                   2            4            7           12
                   1            2            0            2
                   0  (@)       0            1            1
                   0  ($)       4            7           11



           (@)  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            2            1
              24          0            0            3            6
              23          0            0            0            2
              22          0            0            3           10
              21          0            0            4           19
              20          0            2            7           17
              19          0            0           10           26
              18          0            4           14           45
              17          1            3           26           82
              16          1           11           36          116
              15          2            4           57          163
              14          0           18           79          273
              13          0           21          142          341
              12          4           38          211          443
              11          5           55          239          478
              10          5           48          268          525
               9          7           79          292          532
               8          8           47          267          430
               7          7           38          183          305
               6          3           30          138          211
               5          3           18           80          117
               4          2           11           32           61
               3          0            2           14           21
               2          0            2            1            7
               1          0            0            0            2
               0(@)       0            0            1           11
               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    6945 Students
                             Percent of Responses


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

      1    0.19      0.72      2.51     95.64*     0.75      0.19      0.01
      2    3.05      2.17     90.67*     1.30      2.16      0.65      0.00
      3   48.65*     6.95     22.49     11.48      8.88      1.47      0.07
      4    3.21     70.78*    10.86     10.58      4.10      0.40      0.06
      5    9.39      4.26      5.40     62.71*    16.36      1.84      0.04
      6    4.82     18.04     56.63*     7.54     12.40      0.52      0.04
      7   39.81     19.61*    10.67     13.49     15.05      1.30      0.07
      8    9.66      4.46     10.78     11.00     62.99*     0.88      0.22
      9   29.03     16.00     32.48*    10.41      9.16      2.85      0.07
     10   22.04*    35.38     23.40     10.11      7.73      1.31      0.03
     11   20.91     31.59     16.50*    18.65      9.17      3.02      0.16
     12    3.87      4.58     32.70     50.63*     7.40      0.78      0.04
     13    7.75     15.97     31.36     24.67*    17.32      2.81      0.13
     14    4.75     85.00*     3.28      3.48      2.39      1.09      0.00
     15   18.69      8.86     46.74*    11.72     10.37      3.54      0.09
     16   18.32     19.12     21.38     12.50     22.84*     5.80      0.04
     17    8.81     24.94*    12.44     37.32     12.84      3.50      0.14
     18   10.71     11.89     22.88     21.60*    27.49      5.24      0.19
     19    7.70     13.48     11.52     56.31*     5.66      5.21      0.12
     20   11.78     21.70     31.63*    16.59     11.58      6.62      0.10
     21   16.82*    15.33     21.15     21.68     16.23      8.67      0.12
     22   19.91     29.85     17.22     16.31*     7.63      8.84      0.23
     23   19.52*    15.46     18.96     11.88     23.99      9.85      0.33
     24   14.74*    16.50     26.28     17.88     13.13     11.36      0.10
     25   16.90     20.09*    20.48     15.93     14.61     11.95      0.04


   (*)  Correct Response

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