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                   American Mathematics Competitions
                   2011 AMC 10 A Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1372

      Number of unofficial participants:          0

      Average score of participants:           60.1

      Average score for female students  is:   56.2  (   435 Students)
      Average score for male students is:      63.6  (   643 Students)
      Average score for unspecified gender is  58.3  (   294 Students)
      Average score for grade 10 is:           61.6  (   652 Students)
      Average score for grade 9 is:            58.4  (   535 Students)
      Average score for grade 8 and below is:  65.7  (    47 Students)
      Average score with unknown grade:        57.7  (   138 Students)

        AIME qualifying score =  117.0 or better
        Number of AIME qualifers                  7

        Number of schools returning results      49
        Average school winning score           91.90


                   American Mathematics Competitions
                   2011 AMC 12 A Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1731

      Number of unofficial participants:          0

      Average score of participants:           62.4

      Average score for female students  is:   58.3  (   610 Students)
      Average score for male students is:      65.6  (   822 Students)
      Average score for unspecified gender is  62.2  (   299 Students)
      Average score for grade 13 is:           76.5  (     1 Student) 
      Average score for grade 12 is:           62.9  (   719 Students)
      Average score for grade 11 is:           61.9  (   757 Students)
      Average score for grade 10 is:           69.3  (    84 Students)
      Average score for grade 9 is:            64.7  (    45 Students)
      Average score for grade 8 and below is:  34.5  (     1 Student) 
      Average score with unknown grade:        57.8  (   124 Students)

        AIME qualifying score =   93.0 or better
        Number of AIME qualifers                 60

        Number of schools returning results      59
        Average school winning score           90.00
        Average school team score             245.82
 


                   American Mathematics Competitions
                   2011 AMC 10 B Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    688

      Number of unofficial participants:          0

      Average score of participants:           57.0

      Average score for female students  is:   53.1  (   233 Students)
      Average score for male students is:      60.2  (   296 Students)
      Average score for unspecified gender is  56.6  (   159 Students)
      Average score for grade 10 is:           56.3  (   348 Students)
      Average score for grade 9 is:            56.0  (   232 Students)
      Average score for grade 8 and below is:  73.3  (    16 Students)
      Average score with unknown grade:        58.9  (    92 Students)

        AIME qualifying score =  117.0 or better
        Number of AIME qualifers                  1

        Number of schools returning results      32
        Average school winning score           91.03


                   American Mathematics Competitions
                   2011 AMC 12 B Results for Minnesota                  
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:   1084

      Number of unofficial participants:          0

      Average score of participants:           56.9

      Average score for female students  is:   52.4  (   358 Students)
      Average score for male students is:      59.9  (   552 Students)
      Average score for unspecified gender is  57.0  (   174 Students)
      Average score for grade 13 is:           63.0  (     3 Students)
      Average score for grade 12 is:           60.1  (   347 Students)
      Average score for grade 11 is:           55.0  (   497 Students)
      Average score for grade 10 is:           55.8  (   129 Students)
      Average score for grade 9 is:            59.4  (    26 Students)
      Average score with unknown grade:        56.5  (    82 Students)

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                 20

        Number of schools returning results      35
        Average school winning score           92.61
        Average school team score             247.63
 


    2011 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    375.0         1                   1
    339.0                   1         2
    330.0         1                   3
    315.0         1         1         4
    304.5         1                   6
    303.0         1                   7
    301.5         1         1         8
    297.0                   1        10
    294.0         1                  11
    292.5         1                  12
    288.0         1                  13
    286.5                   1        14
    285.0                   1        15
    283.5         1         1        16
    280.5         2                  18
    279.0                   1        20
    277.5         1         1        21
    276.0         2                  23
    273.0                   1        25
    271.5                   1        26
    270.0         1         1        27
    267.0         2                  29
    264.0         1                  31
    262.5         2         1        32
    261.0         2                  35
    259.5                   1        37
    258.0         2         1        38
    255.0                   1        41
    253.5         1                  42
    252.0         1                  43
    250.5         2         1        44
    247.5                   1        47
    246.0         3                  48
    243.0                   1        51
    241.5                   1        52
    238.5         1                  53
    237.0         1         2        54
    234.0         2         1        57
    232.5         2         1        60
    231.0         2         2        63
    229.5         1                  67
    228.0         1         1        68
    226.5         3                  70
    225.0         2         1        73
    220.5         1                  76
    219.0                   1        77
    216.0         1                  78
    213.0         1         1        79
    204.0         1                  81
    202.5                   1        82
    201.0         1                  83
    199.5                   1        84
    193.5         1                  85
    192.0         1                  86
    189.0         1         1        87
    187.5         1                  89
    178.5         1         1        90
    114.0                   1        92
     99.0         2                  93
 


         2011 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    132.0                             2
    129.0                             1
    127.5         1
    126.0         1                   1
    123.0                             1
    121.5         1         1                   1
    120.0                   1         1
    118.5         1
    117.0         2         2         1
    115.5                             1         2
    114.0         1         2                   1
    112.5         1                   2         1
    111.0         1                   6         1
    109.5         4                   3
    108.0         4         1         6         3
    106.5         2         1         5         2
    105.0         1         3         5         2
    103.5         4         2         7
    102.0         1         3         8         4
    100.5         5         3         4         1
     99.0         7         1         5         5
     97.5         3                   4         2
     96.0         3         4        11         4
     94.5         7         7         4         2
     93.0        10         1        10         1
     91.5        10         7        10         3
     90.0        12         7        11         4
     88.5         9        11         7         3
     87.0        15         3        11         6
     85.5        11         6        10        11
     84.0        12        15        22         5
     82.5        28        11        17         7
     81.0        20         6        16         7
     79.5        33         3        17         8
     78.0        29        14        23         5
     76.5        40        10        20        10
     75.0        41        20        26         7
     73.5        35        24        30         6
     72.0        43        21        37        17
     70.5        61        23        29        14
     69.0        58        17        26        12
     67.5        71        31        44        17
     66.0        87        26        37        17
     64.5        69        23        41        21
     63.0        81        37        38        16
     61.5        80        39        47        39
     60.0        97        40        47        18
     58.5        92        49        36        21
     57.0        49        34        52        21
     55.5        59        52        44        25
     54.0        65        45        52        25
     52.5        74        44        42        26
     51.0        54        48        46        27
     49.5        53        45        36        26
     48.0        62        33        57        28
     46.5        36        42        37        18
     45.0        30        38        46        18
     43.5        34        34        29        17
     42.0        33        30        47        27
     40.5        16        28        35        17
     39.0        11        21        21        10
     37.5        10        15        17        11
     36.0        17        19        23        19
     34.5         6        18        22         9
     33.0         5        16        10         9
     31.5         6        11        13         8
     30.0         6        12        14        10
     28.5         2         2         9         7
     27.0         2         1         3         5
     25.5         1         4         7         1
     24.0         4         6         9         1
     22.5                   4         2         2
     21.0         1         1         4         2
     19.5         1         1         2         5
     18.0                   2         1         3
     16.5                   1
     15.0                   1
     13.5                   1
     12.0                             2         2
      9.0                                       1
      6.0                                       2



                   American Mathematics Competitions
                   2011 AMC 10 A Results for Minnesota                  
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2011 AMC 10 A Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2011
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.51      0.66     13.27     82.94*     1.82      0.80      0.00
      2    1.02      0.73      0.73     11.30     85.86*     0.36      0.00
      3    2.33      4.37      6.20     48.40*     3.35     35.28      0.07
      4   50.44*     5.90      7.87      5.03      4.45     26.31      0.00
      5    4.08     23.18     46.14*     3.94      1.24     21.43      0.00
      6   12.54      7.36     21.72*    15.01      6.27     37.10      0.00
      7    6.56     29.66*    51.46      1.09      1.68      9.55      0.00
      8    5.76     20.34     52.33*     2.33      3.64     15.60      0.00
      9   20.19*     7.43      4.15      5.83      4.01     58.38      0.00
     10    4.59     16.11*     7.87     10.71     11.37     49.34      0.00
     11    8.09     16.33*     5.98      5.83      2.26     61.37      0.15
     12   66.47*     3.06      3.43      5.83      3.13     18.00      0.07
     13   20.85*     9.69     12.54      9.48      3.57     43.88      0.00
     14   12.24     19.24*    10.57      2.70      2.55     52.70      0.00
     15    4.23      7.07     23.91*     5.10      2.41     57.22      0.07
     16   16.40      5.90*     3.50      3.86     20.19     50.15      0.00
     17    1.46      2.26     57.07*     3.06      1.17     34.99      0.00
     18    4.88      3.13      7.80*    11.59      5.17     67.42      0.00
     19    3.79      6.12      4.66      3.72      4.88*    76.82      0.00
     20    8.82      4.08      7.29      6.34*    10.79     62.68      0.00
     21    6.34      6.12      5.69      3.72*     7.36     70.77      0.00
     22    2.84      6.78      5.69*     3.43      5.10     76.17      0.00
     23    6.27      4.74     13.78*     6.12      8.24     60.86      0.00
     24    1.38      2.77      3.43      2.04*     2.11     88.27      0.00
     25    1.97      2.55      3.06*     2.77      1.46     88.19      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
                   2011 AMC 12 A Results for Minnesota                  
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2011 AMC 12 A Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2011
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.29      0.98     11.03     85.85*     1.21      0.64      0.00
      2    0.06      0.23      0.75      0.58     98.38*     0.00      0.00
      3    0.58      1.10      1.27     10.11     86.42*     0.52      0.00
      4    3.41     16.35     61.93*     3.52      1.44     13.29      0.06
      5    4.62     18.66     62.05*     1.73      2.43     10.51      0.00
      6   72.85*     1.68      2.83      5.31      1.91     15.37      0.06
      7    3.81     25.71*     6.87     10.75      9.30     43.50      0.06
      8    1.04      2.77     73.83*     1.21      0.87     20.28      0.00
      9    7.16     17.22*     7.86      9.47     25.25     33.04      0.00
     10   13.29     31.25*    10.51      3.29      2.20     39.46      0.00
     11    4.79      4.39     18.08*    17.97      6.07     48.64      0.06
     12    5.43      4.74      4.97     16.41*    25.42     42.92      0.12
     13   32.58      4.27*     3.47      9.88      2.89     46.91      0.00
     14    2.37      4.68      4.10      3.47      8.78*    76.55      0.06
     15    9.76*     2.37     12.82      2.31      1.62     71.06      0.06
     16    2.66      7.97      6.47*     4.97      5.55     72.33      0.06
     17    2.95      3.58      5.49      7.22*     3.76     77.01      0.00
     18    4.16      6.12      8.55     17.10*     1.85     62.22      0.00
     19    4.45      4.04      5.49*     2.43      0.87     82.67      0.06
     20    4.51      9.65      5.26*     3.35      2.48     74.75      0.00
     21    1.10*     2.48      3.18      2.60      1.79     88.85      0.00
     22    1.21      2.95      2.60*     2.77      1.50     88.97      0.00
     23    2.60      3.35      2.95*     2.43      1.79     86.89      0.00
     24    3.41      5.83      5.26*     3.18      5.83     76.49      0.00
     25    3.64      4.33      3.24      2.48*    10.86     75.45      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
                   2011 AMC 10 B Results for Minnesota                  
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2011 AMC 10 B Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2011
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1   13.66      1.74     79.36*     0.87      0.58      3.78      0.00
      2    9.88      4.65      4.51      4.51     71.95*     4.51      0.00
      3   77.18*     5.96      3.49      5.81      1.31      6.25      0.00
      4   11.05      5.23     45.49*    35.17      0.15      2.91      0.00
      5    7.70      2.91      2.18      2.33     41.72*    43.02      0.15
      6   74.56*     3.49      4.22      4.80      2.76     10.17      0.00
      7   33.14     37.94*     6.25      2.47      4.80     15.41      0.00
      8   31.10     64.24*     0.44      0.29      1.74      2.18      0.00
      9   11.77      4.51      4.22     17.88*     3.78     57.70      0.15
     10    9.45     25.29*    16.72      9.74      7.99     30.81      0.00
     11    8.58      3.63     52.47     17.15*     3.49     14.68      0.00
     12   11.92*    10.90      2.18      4.22      2.03     68.75      0.00
     13   10.17     29.65      6.40     15.55*     6.83     31.25      0.15
     14   10.76      7.85     20.20*     5.23      5.67     50.15      0.15
     15   10.90      7.56      8.43     11.05     21.80*    40.26      0.00
     16    8.43*    14.24      6.83      6.54      2.03     61.92      0.00
     17    6.69      4.94     12.21*     8.87      8.58     58.72      0.00
     18    2.03      6.25     23.69     22.97      8.43*    36.63      0.00
     19    8.58*     8.72      2.91      7.56      3.78     68.46      0.00
     20    3.34     10.32      6.98*     2.47      2.91     73.98      0.00
     21    8.14      7.41*     3.34      4.22      1.45     75.44      0.00
     22    1.74*     3.20      3.78      3.34      3.49     84.45      0.00
     23   35.76      4.07      2.03      3.63*     2.33     52.18      0.00
     24    4.80      2.33*     4.51      5.23      3.05     80.09      0.00
     25    1.31      2.91      3.20      2.03*     2.47     88.08      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
                   2011 AMC 12 B Results for Minnesota                  
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2011 AMC 12 B Results for Minnesota                  
                              Analysis      


                   Table of Item Difficulty for the 2011
              American Mathematics Competitions 10/12
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    3.23      0.74     93.45*     0.92      0.18      1.48      0.00
      2    7.20      1.48      3.41      3.23     83.21*     1.48      0.00
      3    4.89      5.07     64.21*    23.80      0.09      1.94      0.00
      4    4.61      3.97      1.29      2.95     59.69*    27.49      0.00
      5   43.73*     2.58      1.01     30.35     10.89     11.44      0.00
      6    1.48      6.46     29.52*     4.98     13.75     43.82      0.00
      7   10.61     55.17*     2.21      8.21      2.95     20.85      0.00
      8   28.04*     8.76      3.32      6.18      1.38     52.31      0.00
      9   12.36     19.83      5.72     32.10*     7.38     22.60      0.00
     10    0.92      7.66     22.42     25.65     17.53*    25.74      0.09
     11    9.59     26.94*     7.93     14.39      6.18     34.96      0.00
     12   21.03*    11.53     11.16      7.93      2.12     46.22      0.00
     13    8.95     10.61*     5.07      4.80      2.58     67.99      0.00
     14    1.94      5.90      2.49      4.34*     9.59     75.74      0.00
     15    8.86      8.86      4.52     10.42*     3.69     63.65      0.00
     16    3.32     14.94     13.65*     3.60      4.61     59.87      0.00
     17    1.75      6.92*     6.73      3.97      3.78     76.85      0.00
     18    3.04*     4.15      6.00      4.15      5.26     77.40      0.00
     19    6.27      4.52*     7.20      7.10      3.41     71.40      0.09
     20    3.60      3.78      2.77*     2.86      2.86     84.13      0.00
     21    3.14      3.87      5.90      3.60*     1.01     82.38      0.09
     22    2.68      2.49      3.69      2.40*     1.29     87.45      0.00
     23    4.15      6.00      7.66*     4.98      2.95     74.26      0.00
     24    1.66      1.94*     2.49      3.78      2.86     87.18      0.09
     25    4.80      4.89      2.58      2.12*     2.03     83.58      0.00


   (*)  Correct Response

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