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                   American Mathematics Competitions
                   2009 AMC 10 A Results for Ohio                       
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   3515

      Number of unofficial participants:          0

      Average score of participants:           61.1

      Average score for female students  is:   57.3  (  1495 Students)
      Average score for male students is:      64.5  (  1608 Students)
      Average score for unspecified gender is  61.5  (   412 Students)
      Average score for grade 10 is:           62.5  (  1724 Students)
      Average score for grade 9 is:            59.1  (  1496 Students)
      Average score for grade 8 and below is:  65.1  (   138 Students)
      Average score with unknown grade:        60.9  (   157 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                 19

        Number of schools returning results      96
        Average school winning score           96.20


                   American Mathematics Competitions
                   2009 AMC 12 A Results for Ohio                       
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   4840

      Number of unofficial participants:          0

      Average score of participants:           62.2

      Average score for female students  is:   59.2  (  1996 Students)
      Average score for male students is:      64.5  (  2322 Students)
      Average score for unspecified gender is  63.0  (   522 Students)
      Average score for grade 13 is:           78.8  (     2 Students)
      Average score for grade 12 is:           63.6  (  1887 Students)
      Average score for grade 11 is:           61.3  (  2176 Students)
      Average score for grade 10 is:           61.8  (   444 Students)
      Average score for grade 9 is:            58.3  (   189 Students)
      Average score for grade 8 and below is:  78.5  (     3 Students)
      Average score with unknown grade:        62.9  (   139 Students)

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                 73

        Number of schools returning results     112
        Average school winning score           90.74
        Average school team score             254.37
 


                   American Mathematics Competitions
                   2009 AMC 10 B Results for Ohio                       
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    637

      Number of unofficial participants:          0

      Average score of participants:           64.6

      Average score for female students  is:   60.4  (   273 Students)
      Average score for male students is:      68.4  (   288 Students)
      Average score for unspecified gender is  65.8  (    76 Students)
      Average score for grade 10 is:           65.7  (   347 Students)
      Average score for grade 9 is:            63.2  (   239 Students)
      Average score for grade 8 and below is:  62.6  (    24 Students)
      Average score with unknown grade:        66.1  (    27 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  7

        Number of schools returning results      37
        Average school winning score           96.45


                   American Mathematics Competitions
                   2009 AMC 12 B Results for Ohio                       
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1039

      Number of unofficial participants:          0

      Average score of participants:           68.1

      Average score for female students  is:   61.2  (   365 Students)
      Average score for male students is:      73.1  (   542 Students)
      Average score for unspecified gender is  66.6  (   132 Students)
      Average score for grade 13 is:           45.0  (     1 Student) 
      Average score for grade 12 is:           67.6  (   424 Students)
      Average score for grade 11 is:           67.8  (   476 Students)
      Average score for grade 10 is:           72.8  (    62 Students)
      Average score for grade 9 is:            79.0  (    28 Students)
      Average score for grade 8 and below is:  81.8  (     4 Students)
      Average score with unknown grade:        62.4  (    44 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 68

        Number of schools returning results      49
        Average school winning score           97.93
        Average school team score             265.96
 


    2009 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    384.0         1                   1
    366.0                   1         2
    363.0                   1         3
    354.0                   1         4
    346.5         1                   5
    331.5         1         1         6
    330.0                   1         8
    328.5                   1         9
    325.5         1         1        10
    324.0                   2        12
    321.0         1                  14
    318.0         1                  15
    316.5                   1        16
    315.0         2                  17
    313.5         1         1        19
    312.0         1         1        21
    309.0         1         1        23
    307.5                   1        25
    306.0                   1        26
    301.5         3                  27
    298.5         1                  30
    297.0         2                  31
    295.5         1                  33
    292.5                   2        34
    289.5         2                  36
    288.0         2         1        38
    286.5                   1        41
    285.0         1                  42
    283.5         2         1        43
    282.0         1                  46
    280.5         2                  47
    279.0         3                  49
    277.5         3                  52
    276.0         1                  55
    273.0         1         1        56
    271.5         1                  58
    270.0         1                  59
    268.5         1         1        60
    267.0         2         1        62
    265.5         1         2        65
    264.0         2                  68
    262.5         1         1        70
    261.0         2                  72
    259.5         2                  74
    258.0         2                  76
    255.0         2         1        78
    253.5         2         1        81
    252.0         2                  84
    250.5         3         1        86
    249.0         2                  90
    247.5         2         1        92
    246.0         1                  95
    244.5         3                  96
    243.0                   1        99
    241.5         2         1       100
    240.0         1         1       103
    238.5         1         3       105
    237.0         2         1       109
    235.5         2                 112
    234.0         1                 114
    232.5         3         1       115
    231.0                   1       119
    229.5         2                 120
    228.0         2                 122
    226.5         1         2       124
    225.0         4                 127
    222.0         1         1       131
    220.5         3                 133
    219.0         2         1       136
    217.5         1                 139
    216.0         1                 140
    210.0         1                 141
    208.5                   1       142
    207.0         2                 143
    202.5         4                 145
    201.0         1                 149
    199.5         1                 150
    195.0         1                 151
    190.5                   1       152
    189.0                   1       153
    184.5         1                 154
    181.5         2                 155
    180.0                   1       157
    177.0                   1       158
    165.0         1                 159
    159.0         1                 160
     90.0                   1       161
 


         2009 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    144.0                             1         2
    141.0                             2
    139.5                   1
    138.0         1         1                   1
    135.0         1
    133.5         1
    132.0                                       1
    130.5                             1
    129.0         1
    127.5                   2         1
    126.0                   1         2         2
    124.5         2                   1
    123.0                             3
    121.5                             2         1
    120.0         1         1         6
    118.5                   3         2
    117.0         1                   1         1
    115.5                   2         4
    114.0         2         2         2         1
    112.5         4         1         6         2
    111.0                   3         4
    109.5         2         6         3         1
    108.0         3         5         5         4
    106.5         3         4         6
    105.0         7         9         6         3
    103.5         6         3         5         4
    102.0         5         6         9         1
    100.5        17        18         9         1
     99.0        11        11        14         4
     97.5         5         7        13         7
     96.0        13        11        17         2
     94.5        32        15        24         2
     93.0        28        11        20         3
     91.5        15        13        23         7
     90.0        37        15        27        10
     88.5        39        16        23         4
     87.0        45        17        27         9
     85.5        47        10        42        11
     84.0        42        15        38        13
     82.5        69        23        41         9
     81.0        73        21        47        11
     79.5        68        28        61        10
     78.0       118        19        59        19
     76.5       130        27        73         8
     75.0       105        30        76        18
     73.5       117        28        71        21
     72.0       164        33       108        11
     70.5       167        34        99        28
     69.0       166        26       102        21
     67.5       192        30       106        16
     66.0       204        38       109        20
     64.5       204        45       119        18
     63.0       221        31       136        26
     61.5       198        39       122        24
     60.0       225        38       135        20
     58.5       218        39       127        18
     57.0       178        34       127        13
     55.5       163        17       127        22
     54.0       209        39       125        20
     52.5       139        17       113        15
     51.0       136        19       119        25
     49.5       135        16       123        22
     48.0       145        21       120        19
     46.5        89        17        92        17
     45.0       102        15        96        14
     43.5        94        15        88        13
     42.0       111        14        78        12
     40.5        46        11        51        13
     39.0        45        12        44         4
     37.5        41         9        54         5
     36.0        49        16        41         5
     34.5        26         5        33         3
     33.0        29         6        30         7
     31.5        20         1        24         3
     30.0        23         3        29         5
     28.5         9         1         7
     27.0         8                  11
     25.5         8         5         8
     24.0        10         4        13         2
     22.5         2                   2
     21.0         2         1         5
     19.5         1         1         1
     18.0         5                   8         1
     16.5                             2
     15.0                             1
     13.5         1         1         1
     12.0         3         1         1         1
      9.0                                       1
      7.5         1
      6.0                             1



                   American Mathematics Competitions
                   2009 AMC 10 A Results for Ohio                       
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    


                   American Mathematics Competitions
                   2009 AMC 10 A Results for Ohio                       
                              Analysis      


                   Table of Item Difficulty for the 2009
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.31      0.34      0.43      9.99     88.48*     0.46      0.00
      2   90.95*     1.85      1.42      1.28      1.71      2.79      0.00
      3    2.39     11.24     61.54*     7.11      4.98     12.75      0.00
      4   20.17*     8.71      4.58      7.74     16.13     42.62      0.06
      5   12.66      4.04      6.09      3.70     41.19*    32.32      0.00
      6   49.82*     3.90      7.97      3.67      1.42     33.23      0.00
      7    6.26      3.47     22.25*     3.84     35.25     28.90      0.03
      8   10.75     74.31*     3.73      1.71      1.68      7.80      0.03
      9    7.31     13.37*     7.62      4.24      1.02     66.43      0.00
     10    3.98     15.68*     4.84      9.70      2.19     63.61      0.00
     11    2.33      2.62      3.41     49.30*     2.05     40.28      0.00
     12    3.44      7.68     23.41*     8.02      6.00     51.44      0.00
     13   20.74      5.46      3.70     13.03      8.71*    48.34      0.03
     14   33.34*     1.65      5.06      3.87     13.88     42.16      0.03
     15    2.28      3.39      5.09      6.83     40.60*    41.76      0.06
     16   23.44      4.18      3.39      7.40*     5.80     55.76      0.03
     17    4.35      7.45      4.84*     1.79      3.61     77.95      0.00
     18   19.72     10.84      6.77     12.63*     7.40     42.62      0.03
     19    5.01      6.77*     5.21      6.54      2.79     73.66      0.03
     20    9.90      8.22      9.70     32.32*     1.82     38.04      0.00
     21    1.99      1.99     10.10*     3.24      2.05     80.63      0.00
     22    6.29      6.46     30.67      5.92*     3.41     47.25      0.00
     23    2.76      2.19      4.61      3.30      9.16*    77.89      0.09
     24    7.88     12.94      5.23*     3.76      7.31     62.84      0.03
     25    4.92      2.79*     5.35      3.13      3.53     80.28      0.00


   (*)  Correct Response

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




                   American Mathematics Competitions
                   2009 AMC 12 A Results for Ohio                       
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    


                   American Mathematics Competitions
                   2009 AMC 12 A Results for Ohio                       
                              Analysis      


                   Table of Item Difficulty for the 2009
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1   85.89*     8.14      0.89      0.43      1.88      2.75      0.02
      2    1.05      5.39     82.95*     4.30      2.83      3.47      0.00
      3    6.57     74.67*     4.28      6.36      3.04      5.08      0.00
      4   95.41*     0.68      0.72      0.54      1.24      1.38      0.02
      5    1.10      1.71      2.38     76.22*     1.38     17.21      0.00
      6   23.60      4.79      3.62     16.12     25.58*    26.24      0.06
      7    2.42     18.22*     6.10      3.18      1.92     68.16      0.00
      8   50.56*     1.74      6.10      4.71     11.24     25.60      0.06
      9    3.04      4.59      5.23     24.34*     5.93     56.86      0.02
     10    3.55      7.60     31.80*    10.45      5.93     40.60      0.06
     11    2.50      2.64      4.03      6.38     63.33*    21.10      0.02
     12   13.26     20.97*     6.55      7.79      3.74     47.62      0.06
     13   10.83     12.50     12.05     11.78*     5.91     46.92      0.02
     14    3.33      5.27*     8.24     11.90      5.99     65.27      0.00
     15    7.62      5.76      7.79     17.77*     4.81     56.24      0.00
     16   12.62      7.77      8.14      4.59*     3.08     63.78      0.02
     17    4.69      3.84      6.20*     4.13      8.45     72.64      0.04
     18   10.68      5.25*     5.91      2.87      3.62     71.67      0.00
     19    8.22     10.17      6.36*     8.16      6.61     60.43      0.04
     20    3.53      2.98      6.59      5.27      8.60*    73.02      0.02
     21    6.28      4.59      5.08*     2.89      5.17     75.99      0.00
     22    3.70      4.86      4.88      4.32      2.33*    79.92      0.00
     23    2.00      3.20      3.62      2.83*     1.32     87.02      0.00
     24    9.52      5.23      3.37      2.64      1.49*    77.75      0.00
     25    2.95*     4.11      4.21      5.12      7.31     76.26      0.02


   (*)  Correct Response

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




                   American Mathematics Competitions
                   2009 AMC 10 B Results for Ohio                       
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    


                   American Mathematics Competitions
                   2009 AMC 10 B Results for Ohio                       
                              Analysis      


                   Table of Item Difficulty for the 2009
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.16     72.53*     8.01     14.44      2.83      2.04      0.00
      2    2.04      2.04     83.99*     1.10      1.41      9.42      0.00
      3    0.94      3.45     68.76*    17.11      1.10      8.48      0.16
      4    3.14      3.30     69.39*     9.89      2.67     11.62      0.00
      5    6.75      3.61     24.02     47.10*     3.30     15.23      0.00
      6    1.10      1.88      4.40     69.23*     2.83     20.57      0.00
      7   13.50     17.43     48.67*     8.79      4.55      6.91      0.16
      8    3.30     27.94*     8.16     36.26      3.61     20.41      0.31
      9   33.75*     3.61      4.40     10.20      3.30     44.74      0.00
     10    8.95      2.51      3.77      4.24     36.89*    43.64      0.00
     11   55.10*     6.59      3.92      4.71      2.20     27.47      0.00
     12   19.00*    12.09      9.58     14.44     10.05     34.85      0.00
     13    4.24     13.03     31.08*     8.63      9.58     33.44      0.00
     14    4.40     27.16     20.25     14.60*     7.22     26.22      0.16
     15    7.22      6.12      5.34      7.22     43.01*    31.08      0.00
     16    3.14     10.36*     3.30      2.83      3.77     76.61      0.00
     17   15.70     11.62     11.77*     2.20      0.78     57.93      0.00
     18    3.30      5.49      5.02      6.91*     2.67     76.61      0.00
     19   22.76*    16.95     10.36      8.95      3.77     37.05      0.16
     20    3.92     10.52*     5.02      1.57      3.92     75.04      0.00
     21    5.02      9.89      5.02      7.69*     3.45     68.92      0.00
     22    2.04      2.83*     2.51      4.55      1.57     86.50      0.00
     23    6.59      6.91      8.95*     7.69      3.45     66.41      0.00
     24   11.30*     2.98      3.92      3.14      5.34     73.31      0.00
     25   16.01     11.62*     8.95      4.08      7.06     52.28      0.00


   (*)  Correct Response

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




                   American Mathematics Competitions
                   2009 AMC 12 B Results for Ohio                       
                         SCORE DISTRIBUTION 

    score ----gender-----------   -----------grade-----------------
            male   female    ?    


                   American Mathematics Competitions
                   2009 AMC 12 B Results for Ohio                       
                              Analysis      


                   Table of Item Difficulty for the 2009
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.48     80.65*     5.87      9.53      3.18      0.19      0.10
      2    0.77      2.50     78.25*    13.67      0.87      3.95      0.00
      3    5.49      2.21     18.38     66.51*     1.64      5.68      0.10
      4    1.54      2.79     81.33*     7.60      2.41      4.33      0.00
      5    0.58      1.64      4.81     81.71*     2.02      8.95      0.29
      6    8.95     14.92     62.37*     7.31      3.95      2.41      0.10
      7    4.14     52.94*     8.18     22.71      4.04      7.80      0.19
      8    5.00      5.97      2.69      5.20     66.12*    15.01      0.00
      9   46.10*     6.64      3.75      6.35      2.12     35.03      0.00
     10   41.58*    17.81      8.95      8.47      2.79     20.21      0.19
     11    3.75     25.99     22.62     22.23*     7.22     18.19      0.00
     12    2.79      3.56      6.26      4.52     28.68*    54.19      0.00
     13    2.98      4.04      5.39     21.37*     6.93     59.19      0.10
     14   11.84     13.38     29.07*     2.12      1.54     42.06      0.00
     15    1.06     51.01*     9.05      7.22      5.77     25.89      0.00
     16    3.66      4.43*     2.98      1.92      1.83     85.18      0.00
     17   24.16     18.38*     7.31      4.81      5.39     39.85      0.10
     18    4.43      8.28     15.59*     6.74      5.39     59.58      0.00
     19    1.64      4.62      2.79      1.83      2.21*    86.91      0.00
     20    2.12      3.18      2.89*     2.02      5.29     84.50      0.00
     21    5.87*     6.06      5.68     10.88     20.79     50.72      0.00
     22    3.08      2.89      3.37*     5.20      1.06     84.41      0.00
     23    1.92      2.98      3.37      3.56*     1.44     86.62      0.10
     24    7.60      6.64*     3.37      4.91      1.15     76.32      0.00
     25    8.85      3.95      4.04      3.56      3.66*    75.94      0.00


   (*)  Correct Response

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