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

      TOTAL NUMBER of official students taking exam:    390

      Number of unofficial participants:          0

      Average score of participants:           50.3

      Average score for female students  is:   47.9  (   166 Students)
      Average score for male students is:      53.5  (   175 Students)
      Average score for unspecified gender is  47.6  (    49 Students)
      Average score for grade 10 is:           52.1  (   144 Students)
      Average score for grade 9 is:            48.6  (   199 Students)
      Average score for grade 8 and below is:  63.4  (    16 Students)
      Average score with unknown grade:        46.9  (    31 Students)

        AIME qualifying score =  117.0 or better
        Number of AIME qualifers                  0

        Number of schools returning results      12
        Average school winning score           78.00


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

      TOTAL NUMBER of official students taking exam:    403

      Number of unofficial participants:          0

      Average score of participants:           57.2

      Average score for female students  is:   55.1  (   195 Students)
      Average score for male students is:      59.3  (   184 Students)
      Average score for unspecified gender is  59.3  (    24 Students)
      Average score for grade 12 is:           58.4  (   154 Students)
      Average score for grade 11 is:           56.2  (   209 Students)
      Average score for grade 10 is:           61.8  (    21 Students)
      Average score for grade 9 is:            51.0  (     7 Students)
      Average score for grade 8 and below is:  79.5  (     1 Student) 
      Average score with unknown grade:        55.0  (    11 Students)

        AIME qualifying score =   93.0 or better
        Number of AIME qualifers                  1

        Number of schools returning results      14
        Average school winning score           78.00
        Average school team score             220.50
 


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

      TOTAL NUMBER of official students taking exam:    266

      Number of unofficial participants:          0

      Average score of participants:           49.4

      Average score for female students  is:   46.2  (   124 Students)
      Average score for male students is:      52.7  (   102 Students)
      Average score for unspecified gender is  50.7  (    40 Students)
      Average score for grade 10 is:           50.3  (   142 Students)
      Average score for grade 9 is:            47.5  (   107 Students)
      Average score for grade 8 and below is:  81.6  (     5 Students)
      Average score with unknown grade:        42.0  (    12 Students)

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

        Number of schools returning results      10
        Average school winning score           80.70


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

      TOTAL NUMBER of official students taking exam:    395

      Number of unofficial participants:          0

      Average score of participants:           49.8

      Average score for female students  is:   48.7  (   163 Students)
      Average score for male students is:      50.8  (   203 Students)
      Average score for unspecified gender is  49.0  (    29 Students)
      Average score for grade 12 is:           50.5  (   152 Students)
      Average score for grade 11 is:           48.5  (   184 Students)
      Average score for grade 10 is:           53.3  (    38 Students)
      Average score for grade 9 is:            52.7  (     9 Students)
      Average score with unknown grade:        47.3  (    12 Students)

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                  0

        Number of schools returning results      10
        Average school winning score           74.10
        Average school team score             201.45
 


    2011 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    276.0         1                   1
    238.5                   1         2
    237.0         1         1         3
    235.5         1                   5
    228.0         3                   6
    225.0         1                   9
    220.5         1                  10
    210.0                   1        11
    208.5         1         1        12
    205.5         1         1        14
    204.0         1                  16
    199.5         1                  17
    198.0                   1        18
    196.5         1         2        19
    195.0         1                  22
    172.5                   1        23
    151.5                   1        24
 


         2011 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    121.5                                       1
    111.0                             1
     97.5         1                   1
     96.0                             1
     91.5                   1         1
     90.0         2                   2
     88.5         1         1                   1
     87.0         1
     85.5                                       2
     84.0                             1         2
     82.5                   1                   1
     81.0         3                   4         1
     79.5         1                   4         1
     78.0         2         2         4         3
     76.5         5         3         1         2
     75.0        10                   3         3
     73.5        11         4         1         2
     72.0        11         1         3         1
     70.5        12         2         1         5
     69.0        11         3         3         6
     67.5        14         6         9         2
     66.0        19         7         9         4
     64.5        17        11         7         3
     63.0        14         9         9         6
     61.5        15        15        10        10
     60.0        29        17        13         7
     58.5        17        17        13         4
     57.0        17        19        10         9
     55.5        14        21        18         8
     54.0        30        24        22        14
     52.5        19         9        18         7
     51.0        21        19        15        12
     49.5        14        25        12        19
     48.0        12        19        23        16
     46.5        10        16        16         9
     45.0         9        18        15        13
     43.5        13        21        16        11
     42.0        13        21        26        12
     40.5         7        13        18        10
     39.0        10         8         6         7
     37.5         4        13        11         3
     36.0         7         9        30         5
     34.5                   4         6         5
     33.0         1         5         4         7
     31.5         3         4         2         1
     30.0                   7         6         6
     28.5                   4         4         3
     27.0                   3         4         4
     25.5         1         1         1
     24.0         2         4                   6
     22.5                   1         2         2
     21.0                   1         2         1
     19.5                   1
     18.0                   3         1         5
     13.5                             1
     12.0                   1                   3
      9.0                   1
      4.5                                       1



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

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


                   American Mathematics Competitions
                   2011 AMC 10 A Results for Montana                    
                              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    0.26      0.77     20.77     72.31*     3.85      2.05      0.00
      2    0.77      0.26      2.31     15.38     79.49*     1.79      0.00
      3    2.82      4.62      9.74     30.00*     4.62     48.21      0.00
      4   33.59*     8.97     10.26      6.41      4.36     36.41      0.00
      5    8.46     32.82     25.13*     6.67      2.05     24.87      0.00
      6   16.67      8.72     11.79*    21.03      6.92     34.62      0.26
      7   14.36     11.79*    53.08      3.08      1.79     15.90      0.00
      8    5.90     35.38     35.90*     3.08      4.10     15.64      0.00
      9   21.28*     8.97      6.92      5.38      3.85     53.59      0.00
     10    8.97     14.87*     8.21     12.56     12.31     43.08      0.00
     11    6.67      6.92*     9.74      7.44      4.62     64.62      0.00
     12   63.85*     4.10      4.36      6.67      3.59     17.44      0.00
     13   13.85*    12.31     14.62     11.28      3.08     44.87      0.00
     14   13.59     13.59*    16.41      2.82      3.85     49.74      0.00
     15    7.44      8.97     15.90*     5.13      2.56     60.00      0.00
     16   22.82      6.41*     3.59      5.13     20.26     41.79      0.00
     17    1.28      4.36     58.21*     4.36      2.31     29.49      0.00
     18    9.23      4.87      2.05*    13.33      4.10     66.41      0.00
     19    5.38      9.74      5.90      6.41      4.87*    67.69      0.00
     20    7.95      4.87      9.49      3.85*    15.38     58.46      0.00
     21    8.97      8.97      8.21      5.13*     7.69     61.03      0.00
     22    5.38      7.18      8.46*     7.69      4.10     67.18      0.00
     23    8.46      6.15     12.56*     7.44      9.23     56.15      0.00
     24    2.31      5.38      4.62      2.56*     2.82     82.31      0.00
     25    3.59      3.85      3.59*     5.38      2.56     81.03      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 Montana                    
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2011 AMC 12 A Results for Montana                    
                              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    0.50      0.25     13.65     83.37*     1.24      0.99      0.00
      2    0.00      0.00      0.74      0.50     98.76*     0.00      0.00
      3    0.25      1.49      1.99     14.39     81.64*     0.25      0.00
      4    4.47     23.57     51.86*     4.22      1.49     14.39      0.00
      5    3.97     30.02     47.89*     1.74      5.71     10.67      0.00
      6   73.70*     2.48      1.99      4.96      1.24     15.63      0.00
      7    3.97     22.83*     5.21     10.67     11.17     46.15      0.00
      8    0.99      2.48     70.72*     1.99      1.24     22.58      0.00
      9    7.94     13.15*     9.18      9.18     30.52     30.02      0.00
     10   16.13     22.33*    14.64      3.72      1.74     41.44      0.00
     11    7.20      4.71      5.46*    24.07      7.94     50.62      0.00
     12    7.20      5.96      4.22     12.90*    32.01     37.72      0.00
     13   39.70      3.23*     5.71      9.18      4.47     37.72      0.00
     14    3.72      4.47      6.70      5.71      2.48*    76.92      0.00
     15    5.46*     2.48     17.62      4.47      2.23     67.74      0.00
     16    3.23      5.71      7.94*     8.68      6.45     67.99      0.00
     17    6.45      4.47      6.70      3.97*     3.47     74.94      0.00
     18    5.21     10.42     10.92     17.12*     1.99     54.34      0.00
     19    3.72      5.21      6.45*     2.98      1.24     80.40      0.00
     20   10.42      7.20      5.46*     3.47      3.72     69.73      0.00
     21    1.49*     3.47      2.23      4.22      4.22     84.37      0.00
     22    2.98      3.72      3.72*     4.22      0.74     84.62      0.00
     23    2.48      4.96      5.96*     3.72      4.47     78.41      0.00
     24    3.97      5.96      8.44*     5.21      8.68     67.74      0.00
     25    7.44      3.97      4.71      3.23*    18.61     62.03      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 Montana                    
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2011 AMC 10 B Results for Montana                    
                              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   20.68      0.75     74.81*     0.75      0.00      3.01      0.00
      2   14.66      1.88      4.51     11.28     65.04*     2.63      0.00
      3   76.69*     5.26      4.89      5.26      2.63      5.26      0.00
      4   13.53      2.26     41.73*    40.98      0.38      1.13      0.00
      5   14.29      4.51      5.26      4.14     29.32*    42.48      0.00
      6   60.90*     6.02      9.40      4.14      5.26     14.29      0.00
      7   33.83     31.58*     7.89      4.51      8.27     13.91      0.00
      8   41.73     54.89*     0.38      0.75      1.50      0.75      0.00
      9   11.65      3.01      6.77     17.67*     8.65     52.26      0.00
     10   11.28     12.78*    20.68     14.29     13.16     27.82      0.00
     11   10.90      4.89     61.28      8.27*     3.01     11.65      0.00
     12    8.65*    15.04      2.26      7.14      4.14     62.78      0.00
     13   13.16     38.72      6.02     10.15*    10.15     21.80      0.00
     14   13.91      7.14     17.67*     6.02     10.90     44.36      0.00
     15   15.04      9.40      7.52     19.17     14.29*    34.59      0.00
     16    5.64*    19.17      6.02     11.65      2.63     54.89      0.00
     17   12.03      6.77     11.28*    15.41      6.02     48.50      0.00
     18    1.13      6.39     31.95     24.06      4.89*    31.58      0.00
     19    5.26*     9.40      5.64     12.78      6.39     60.53      0.00
     20    5.26      5.64     12.41*     4.14     10.15     62.41      0.00
     21   16.92      7.89*     6.39      4.14      2.26     62.41      0.00
     22    3.76*     7.14      6.39      3.01      4.51     75.19      0.00
     23   36.84      5.26      5.26      3.76*     3.01     45.86      0.00
     24    6.02      6.02*     7.14      4.14      8.65     68.05      0.00
     25    3.01      4.89      3.76      5.64*     2.63     80.08      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 Montana                    
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2011 AMC 12 B Results for Montana                    
                              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    3.80      1.01     90.38*     2.28      0.51      1.77      0.25
      2    7.34      2.78      3.54      2.28     81.77*     2.28      0.00
      3    6.08      4.30     53.16*    34.68      0.51      1.01      0.25
      4    4.56      3.54      2.28      6.58     48.35*    34.68      0.00
      5   33.42*     2.03      2.03     35.70     14.43     12.15      0.25
      6    1.27      9.87     15.44*     5.82     14.18     53.42      0.00
      7   12.91     41.52*     2.78      9.62      2.78     30.13      0.25
      8   14.18*    10.38      3.54      5.57      2.03     64.30      0.00
      9   13.42     28.35      6.33     16.96*     9.11     25.57      0.25
     10    1.77      7.09     28.35     27.09      7.09*    28.35      0.25
     11   14.43     22.78*     8.35     11.14      3.04     40.00      0.25
     12   10.38*    14.68     11.39      6.84      1.52     54.94      0.25
     13    4.30      5.57*     5.32      4.81      0.76     79.24      0.00
     14    2.03      3.54      2.28      2.28*     9.37     80.51      0.00
     15    8.10      7.09      5.06      9.87*     4.30     65.32      0.25
     16    2.78     10.63      8.86*     3.54      3.80     70.13      0.25
     17    2.28      3.80*     5.82      3.29      2.03     82.28      0.51
     18    1.52*     4.30      4.56      3.29      5.06     80.76      0.51
     19    8.86      3.80*     6.84      4.81      3.29     71.90      0.51
     20    4.30      3.29      3.80*     3.04      5.06     80.25      0.25
     21    5.06      5.32      5.06      2.78*     1.52     79.75      0.51
     22    4.30      2.78      5.06      3.29*     2.28     81.77      0.51
     23    6.33      5.82      4.81*     6.58      5.57     70.38      0.51
     24    3.04      2.28*     3.54      4.30      3.29     83.29      0.25
     25    3.54      5.32      4.81      3.29*     2.53     80.25      0.25


   (*)  Correct Response

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