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                   American Mathematics Competitions
                   2009 AMC 10 A Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1748

      Number of unofficial participants:          0

      Average score of participants:           70.8

      Average score for female students  is:   65.1  (   655 Students)
      Average score for male students is:      74.2  (   864 Students)
      Average score for unspecified gender is  74.8  (   229 Students)
      Average score for grade 10 is:           72.6  (   642 Students)
      Average score for grade 9 is:            69.9  (   467 Students)
      Average score for grade 8 and below is:  67.5  (   484 Students)
      Average score with unknown grade:        76.6  (   155 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                 43

        Number of schools returning results      84
        Average school winning score          103.71


                   American Mathematics Competitions
                   2009 AMC 12 A Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1998

      Number of unofficial participants:          0

      Average score of participants:           67.4

      Average score for female students  is:   64.2  (   763 Students)
      Average score for male students is:      69.9  (   958 Students)
      Average score for unspecified gender is  67.4  (   277 Students)
      Average score for grade 13 is:           60.0  (     1 Student) 
      Average score for grade 12 is:           68.1  (   835 Students)
      Average score for grade 11 is:           66.5  (   906 Students)
      Average score for grade 10 is:           69.8  (   105 Students)
      Average score for grade 9 is:            66.9  (    19 Students)
      Average score for grade 8 and below is:  60.0  (     1 Student) 
      Average score with unknown grade:        67.2  (   131 Students)

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                 69

        Number of schools returning results      66
        Average school winning score           92.59
        Average school team score             250.66
 


                   American Mathematics Competitions
                   2009 AMC 10 B Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    625

      Number of unofficial participants:          0

      Average score of participants:           66.0

      Average score for female students  is:   62.5  (   252 Students)
      Average score for male students is:      70.0  (   273 Students)
      Average score for unspecified gender is  63.7  (   100 Students)
      Average score for grade 10 is:           66.3  (   246 Students)
      Average score for grade 9 is:            62.6  (   210 Students)
      Average score for grade 8 and below is:  77.8  (   113 Students)
      Average score with unknown grade:        53.0  (    56 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                 17

        Number of schools returning results      37
        Average school winning score          100.38


                   American Mathematics Competitions
                   2009 AMC 12 B Results for North Carolina             
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    735

      Number of unofficial participants:          0

      Average score of participants:           71.0

      Average score for female students  is:   64.7  (   248 Students)
      Average score for male students is:      74.4  (   389 Students)
      Average score for unspecified gender is  73.1  (    98 Students)
      Average score for grade 12 is:           70.7  (   229 Students)
      Average score for grade 11 is:           67.2  (   284 Students)
      Average score for grade 10 is:           75.1  (   103 Students)
      Average score for grade 9 is:            83.8  (    43 Students)
      Average score for grade 8 and below is:  76.1  (    48 Students)
      Average score with unknown grade:        67.8  (    28 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 35

        Number of schools returning results      47
        Average school winning score           95.39
        Average school team score             257.49
 


    2009 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    387.0                   1         1
    375.0         1                   2
    373.5         1                   3
    372.0                   1         4
    336.0         1                   5
    333.0                   1         6
    328.5         1                   7
    325.5         1                   8
    324.0         1                   9
    322.5         1                  10
    316.5                   1        11
    312.0                   1        12
    307.5                   1        13
    306.0                   1        14
    303.0                   1        15
    300.0                   1        16
    298.5         1         1        17
    297.0         1                  19
    295.5                   1        20
    294.0         1         1        21
    292.5         1                  23
    291.0         2         1        24
    289.5         1                  27
    288.0                   2        28
    286.5         1                  30
    285.0         1         1        31
    283.5         1                  33
    282.0         2                  34
    280.5         2         1        36
    279.0                   1        39
    276.0         3         2        40
    274.5                   1        45
    273.0                   1        46
    271.5         1         1        47
    270.0         1                  49
    268.5         1         1        50
    267.0         2                  52
    265.5         1         1        54
    264.0         2                  56
    261.0                   4        58
    256.5                   3        62
    255.0                   1        65
    253.5         1         1        66
    250.5         1                  68
    249.0         1                  69
    244.5         2         1        70
    241.5         1                  73
    240.0         1                  74
    238.5         1                  75
    237.0                   1        76
    234.0         1                  77
    231.0         2                  78
    229.5         1                  80
    228.0         3                  81
    226.5         1         1        84
    225.0         2                  86
    219.0         1                  88
    216.0         3         1        89
    214.5                   1        93
    210.0                   1        94
    207.0         1                  95
    205.5         1                  96
    204.0                   1        97
    202.5         1                  98
    201.0         1                  99
    199.5         1                 100
    198.0                   1       101
    192.0                   1       102
    187.5         1                 103
    186.0         1                 104
    180.0         1                 105
    177.0         1                 106
    171.0                   1       107
    169.5         1                 108
     99.0                   1       109
     91.5         1                 110
     90.0                   1       111
 


         2009 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    150.0                             4         5
    145.5                                       1
    144.0                             1         1
    141.0         1
    139.5                             2
    138.0                   1         3
    136.5                   1
    135.0                   1         1
    133.5         1                   3         1
    132.0                             2
    130.5                             2         2
    129.0         1         1         1         2
    127.5         2         1         2         1
    126.0                             2         2
    124.5                             3         1
    123.0                             3
    121.5         2         2         4
    120.0         1                  10         1
    118.5         2         1         3
    117.0         1                   2         1
    115.5         2                   2
    114.0         1                   5         1
    112.5         2         1         5         2
    111.0         1         1         4         1
    109.5         5         5        11         2
    108.0         1         2        18         1
    106.5         3         2         8         1
    105.0         4         1         9
    103.5         4         2        17         2
    102.0         7         4        15         3
    100.5         7         9        17         4
     99.0        15         8        16         1
     97.5         6         9        21         3
     96.0        16        11        25        12
     94.5        20        17        23         3
     93.0        13        14        25         8
     91.5        21         9        23         8
     90.0        24        14        31        10
     88.5        19        27        23         9
     87.0        32         9        38         4
     85.5        25        14        27         8
     84.0        24        18        48         7
     82.5        50        22        41         8
     81.0        49        23        24        10
     79.5        49        32        38        19
     78.0        61        20        52        18
     76.5        74        30        47        11
     75.0        68        16        37         8
     73.5        68        23        46        23
     72.0        96        20        65        32
     70.5        58        22        40        20
     69.0        80        24        41        12
     67.5        85        22        43        20
     66.0       105        21        75        18
     64.5        92        16        36        20
     63.0        82        21        51        23
     61.5        77        26        38        19
     60.0        79        17        59        21
     58.5        68        18        51        15
     57.0        50        14        50        15
     55.5        57        15        43        12
     54.0        66        16        70        25
     52.5        55        16        39         7
     51.0        23         9        37        14
     49.5        42         8        37         8
     48.0        35        17        34        15
     46.5        24        13        31        14
     45.0        15         6        17        18
     43.5        17        11        19        10
     42.0        24         6        31        10
     40.5        12         6        18         9
     39.0         2         7        12         9
     37.5        15         9         7         7
     36.0         8         5        18         9
     34.5         5         5         9         3
     33.0         3         4         3         5
     31.5         5                   3         5
     30.0        16         2        12         4
     28.5         1         2         3         2
     27.0         4                   2         4
     25.5         4         1         1         4
     24.0         4         2         7         4
     22.5         2         1         1         2
     21.0                             1
     19.5         2                             2
     18.0                   1                   1
     16.5                                       2
     15.0         1
     12.0         1         1
      6.0         1



                   American Mathematics Competitions
                   2009 AMC 10 A Results for North Carolina             
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2009 AMC 10 A Results for North Carolina             
                              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    0.29      0.06      0.46      5.03     94.11*     0.06      0.00
      2   95.08*     0.97      0.80      0.69      1.14      1.32      0.00
      3    2.69      8.81     74.03*     4.00      4.35      6.06      0.06
      4   31.98*     8.41      5.49      8.18     16.48     29.41      0.06
      5    9.50      4.81      6.92      3.26     53.26*    22.25      0.00
      6   67.56*     3.43      7.04      2.52      1.49     17.91      0.06
      7    6.24      3.55     38.27*     3.89     26.37     21.68      0.00
      8    8.35     83.01*     2.52      0.80      0.86      4.46      0.00
      9    8.52     26.77*     8.01      5.21      0.92     50.57      0.00
     10    4.23     23.00*     6.01     12.53      1.77     52.46      0.00
     11    1.72      2.52      4.06     66.93*     1.89     22.88      0.00
     12    3.15      7.32     31.75*     7.27      5.32     45.19      0.00
     13   20.71      4.46      5.49     11.78     16.13*    41.36      0.06
     14   48.00*     1.43      5.72      4.98     10.53     29.35      0.00
     15    2.63      3.49      4.69      8.07     49.83*    31.24      0.06
     16   22.20      6.86      4.75     13.84*     5.21     47.14      0.00
     17    4.23     11.16      9.61*     3.32      4.12     67.56      0.00
     18   15.33     11.90      8.24     22.94*     7.78     33.81      0.00
     19    5.66     13.44*    10.24      6.92      2.52     61.21      0.00
     20    7.38      7.61      9.21     40.96*     2.00     32.78      0.06
     21    3.20      3.32     13.10*     3.78      2.97     73.63      0.00
     22    6.29      6.46     28.95      7.78*     3.03     47.48      0.00
     23    2.86      2.86      6.81      4.35      9.04*    74.03      0.06
     24    8.18     13.73      8.81*     4.12      6.58     58.58      0.00
     25    7.21      5.38*     7.32      3.78      4.18     72.14      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 North Carolina             
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2009 AMC 12 A Results for North Carolina             
                              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   89.44*     6.06      1.05      0.55      1.20      1.70      0.00
      2    0.95      3.05     90.89*     2.15      1.50      1.45      0.00
      3    5.26     83.38*     3.10      4.55      1.55      2.15      0.00
      4   95.85*     0.65      0.65      0.65      1.10      1.10      0.00
      5    1.25      1.90      1.75     86.79*     1.00      7.31      0.00
      6   21.92      4.40      3.15     12.61     38.24*    19.62      0.05
      7    2.55     24.17*     6.91      2.75      2.45     61.11      0.05
      8   60.81*     1.60      4.95      5.81      8.71     18.12      0.00
      9    2.80      4.35      5.61     36.64*     5.66     44.94      0.00
     10    3.15      6.61     40.94*     8.16      7.36     33.73      0.05
     11    1.65      3.00      3.45      7.31     68.07*    16.47      0.05
     12   12.36     27.98*     7.16      6.96      3.30     42.24      0.00
     13    9.86     11.56     14.86     16.17*     7.26     40.24      0.05
     14    3.85      6.56*     8.81     11.81      6.51     62.46      0.00
     15    8.96      5.36      8.06     23.07*     6.61     47.95      0.00
     16   12.66      6.91      8.16      6.46*     3.90     61.91      0.00
     17    5.01      4.65      8.16*     5.86      7.51     68.82      0.00
     18   13.26      6.71*     5.96      3.35      3.55     67.12      0.05
     19    9.36      8.16      6.76*     7.36      9.31     59.06      0.00
     20    4.05      3.40      6.56      5.06      9.06*    71.87      0.00
     21    4.85      5.16      6.26*     3.05      3.85     76.83      0.00
     22    3.60      4.05      4.60      4.45      2.90*    80.38      0.00
     23    2.15      3.15      3.85      2.75*     1.40     86.69      0.00
     24    7.21      5.31      3.70      4.00      1.45*    78.33      0.00
     25    1.85*     5.41      4.40      5.71      6.86     75.78      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 10 B Results for North Carolina             
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2009 AMC 10 B Results for North Carolina             
                              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     76.80*     6.40     12.32      2.72      1.28      0.00
      2    4.32      1.60     86.40*     1.12      0.80      5.60      0.16
      3    1.44      5.44     74.40*    10.08      1.60      7.04      0.00
      4    3.52      4.48     67.36*    11.68      3.52      9.44      0.00
      5    8.64      2.24     22.40     50.24*     3.04     13.44      0.00
      6    2.56      2.08      8.16     67.20*     3.68     16.32      0.00
      7   13.12     19.04     50.40*     7.36      5.12      4.64      0.32
      8    3.36     32.48*     8.64     37.28      4.00     14.24      0.00
      9   36.32*     4.16      6.88      9.28      4.00     39.36      0.00
     10   11.20      2.88      3.84      5.92     34.88*    41.28      0.00
     11   56.00*     8.16      5.12      4.00      3.84     22.72      0.16
     12   23.84*    11.84     10.08     13.76      7.36     33.12      0.00
     13    4.00     11.04     35.68*     8.48     11.84     28.96      0.00
     14    5.92     30.72     19.20     14.08*     7.36     22.40      0.32
     15    8.80      9.76      3.36      8.00     45.92*    24.16      0.00
     16    2.40     12.96*     6.24      3.52      4.80     70.08      0.00
     17   25.12     13.92     14.40*     1.44      1.92     43.20      0.00
     18    4.32      4.16      8.80     12.64*     5.44     64.64      0.00
     19   16.80*    20.64     10.24     11.20      4.48     36.64      0.00
     20    6.88     13.60*     5.44      2.24      4.00     67.84      0.00
     21    5.76     12.96      5.28     11.04*     3.20     61.76      0.00
     22    3.36      4.16*     3.52      4.80      3.36     80.80      0.00
     23    5.92      7.52     13.12*     5.44      4.48     63.52      0.00
     24   11.84*     4.96      4.48      3.84      4.80     70.08      0.00
     25   16.00     14.08*     9.12      7.04      5.76     48.00      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 North Carolina             
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2009 AMC 12 B Results for North Carolina             
                              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    0.14     81.22*     5.31     10.07      2.31      0.95      0.00
      2    0.82      1.77     81.90*    10.75      0.68      4.08      0.00
      3    7.07      0.82     15.92     67.62*     2.99      5.58      0.00
      4    0.95      2.31     82.45*     9.12      1.63      3.54      0.00
      5    0.41      0.95      4.22     85.03*     0.68      8.71      0.00
      6    7.21     13.06     64.76*     6.80      4.08      4.08      0.00
      7    4.35     58.78*     8.30     17.14      2.86      8.57      0.00
      8    2.99      4.35      2.99      3.81     71.56*    14.29      0.00
      9   59.46*     4.90      2.72      6.67      0.41     25.85      0.00
     10   40.95*    19.18      9.93      7.89      3.27     18.50      0.27
     11    4.08     29.52     19.46     20.27*     7.35     19.32      0.00
     12    1.77      2.72      6.67      3.67     37.28*    47.62      0.27
     13    2.99      3.95      6.67     21.36*     5.31     59.73      0.00
     14   10.61     11.97     37.69*     2.04      1.22     36.46      0.00
     15    0.68     51.02*     7.48      8.30      4.90     27.62      0.00
     16    4.63      4.22*     3.40      3.40      1.36     82.99      0.00
     17   22.45     20.14*     7.76      6.67      4.08     38.91      0.00
     18    4.35      6.94     14.29*     6.12      6.80     61.50      0.00
     19    0.82      3.67      3.13      2.18      2.59*    87.62      0.00
     20    1.63      4.08      3.27*     2.45      3.27     85.31      0.00
     21    4.22*     4.08      5.03     13.47     20.82     52.38      0.00
     22    1.90      2.86      4.90*     3.13      1.50     85.71      0.00
     23    1.09      1.90      3.67      2.86*     2.18     88.30      0.00
     24    5.99      4.76*     2.59      4.90      0.95     80.82      0.00
     25    7.89      4.49      3.40      2.59      3.40*    78.23      0.00


   (*)  Correct Response

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