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           2009 AMC8 Report for all schools in Pennsylvania            

           Number of schools returning results       80
           Average of school highest score        17.17
           Average school team score              46.58

           # of State Student Participants         5754
           Overall State Average Score             9.89

                       Average Score by Grade level

                   Grade         # of Students  Average

                    5th              24           8.50
                    6th             532           9.25
                    7th            1924           9.51
                    8th            3206          10.23



           Number of Female Students               2617
           Average Score of Female Students        9.44

                       Average Female Scores by Grade

                   Grade         # of Students  Average
                   5th                9           6.00
                   6th              229           8.94
                   7th              892           9.03
                   8th             1463           9.77



           Number of Male Participants             3015
           Average Score of Male Participants     10.28

                       Average score for Males by Grade

                   Grade         # of Students  Average
                   5th               15          10.00
                   6th              293           9.48
                   7th             1008           9.95
                   8th             1665          10.65




                     2009 American Mathematics Contest  8
                   Number of Students Achieving Indicated Score



                 SCORE        MALE       FEMALE       TOTAL*
                  25            1                         1
                  24            3            1            4
                  23            4            1            5
                  22            4                         4
                  21            2            1            4
                  20           11            3           14
                  19           20            1           21
                  18           16            8           24
                  17           45           22           69
                  16           62           34           99
                  15          121           53          180
                  14          164          115          285
                  13          228          140          378
                  12          295          242          547
                  11          351          318          677
                  10          411          282          704
                   9          389          394          796
                   8          334          316          672
                   7          220          243          477
                   6          180          216          404
                   5           92          122          218
                   4           30           66           99
                   3           16           27           43
                   2           11            7           18
                   1            1            1            2
                   0  (@)
                   0  ($)       4            4            9



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

                         2009 American Mathematics Contest  8
                             Number of Students by Grade
                              Achieving indicated Score



            SCORE   5th Grade    6th Grade    7th Grade    8th Grade
              25                                                 1
              24                                                 4
              23                       1            2            2
              22                       1            1            2
              21                                    2            2
              20                       1            3           10
              19                                    7           14
              18          1            1            7           15
              17                       3           10           56
              16                       5           23           70
              15                      14           55          109
              14          2           18           82          180
              13                      28          107          238
              12          2           44          186          307
              11          1           60          215          395
              10          3           61          227          402
               9          1           74          270          442
               8          2           68          223          370
               7          3           48          171          249
               6          3           51          162          185
               5          5           30           95           86
               4          1           13           44           40
               3                       6           18           18
               2                       4            8            6
               1                       1                         1
               0(@)                                 6            2
               0($)



           (@)  These students attempted some of the problems
           ($)  These students attempted none of the problems

           Note:  Some students failed to indicate a grade





                         2009 American Mathematics Contest  8
                             Number of Schools with 3+ students
                              Achieving team Scores



            SCORE   school count
              70          1
              66          1
              61          3
              60          1
              59          2
              58          3
              57          3
              56          2
              55          4
              54          2
              53          5
              52          4
              50          2
              49          3
              48          1
              47          1
              46          2
              45          4
              44          2
              43          6
              42          5
              41          3
              40          3
              39          3
              38          1
              37          3
              36          2
              35          2
              34          1
              33          1
              28          1
              26          1







                   Table of Item Difficulty for the 2009
                      American Mathematics Contest  8
                 Tabulation of responses by    5754 Students
                             Percent of Responses


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

      1    0.10      0.21      2.71      2.03     94.73*     0.19      0.02
      2    2.05      2.43      1.91     90.96*     2.35      0.30      0.00
      3   10.29      2.22     84.79*     1.30      1.20      0.19      0.00
      4    9.89     67.05*     2.50      9.37     10.48      0.64      0.07
      5    6.15     15.62     16.82     56.13*     3.77      1.46      0.03
      6   66.81*     9.16      7.98      5.82      9.05      1.11      0.07
      7    2.61      9.98     31.82*    23.15     30.62      1.74      0.09
      8   30.33     17.76*    42.25      3.37      5.25      1.01      0.03
      9   14.44     37.49*    18.53     18.94      8.59      1.96      0.05
     10    3.20     29.74     13.43     47.34*     5.58      0.71      0.00
     11    5.82     15.87     27.86     30.50*    16.53      3.34      0.09
     12   19.46     24.24      4.24     44.60*     6.38*     1.01      0.07
     13    6.41     78.15*     4.59      7.86      1.84      1.08      0.07
     14    4.64      5.53*    81.65      3.86      2.82      1.39      0.12
     15   16.93     13.31     18.28     29.61*    18.68      3.08      0.10
     16   32.99     16.18     19.08     13.14*    15.33      3.22      0.07
     17   17.14     20.99*    24.94     19.71     11.82      5.25      0.16
     18   23.91     11.82     35.80*    14.30      9.98      4.10      0.09
     19   11.31     15.61     20.92     19.17*    27.53      5.18      0.28
     20   19.48     31.91     12.60     17.78*    12.13      5.98      0.12
     21   15.61     40.41     16.08     13.33*     6.73      7.68      0.17
     22   10.58     14.65     19.85     22.04*    25.69      7.04      0.16
     23   13.30     29.16*    17.55     21.62      9.12      9.04      0.21
     24   19.03     19.88     23.38     16.16     12.01*     9.49      0.05
     25   14.04     18.14     18.25     16.58     21.95*    10.93      0.10


   (*)  Correct Response

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