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                   American Mathematics Competitions
                   2009 AMC 10 A Results for Puerto Rico                
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     18

      Number of unofficial participants:          0

      Average score of participants:           60.5

      Average score for female students  is:   61.8  (     9 Students)
      Average score for male students is:      59.2  (     9 Students)
      Average score for grade 10 is:           58.5  (     4 Students)
      Average score for grade 9 is:            70.5  (     4 Students)
      Average score for grade 8 and below is:  57.3  (    10 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  0

        Number of schools returning results       2
        Average school winning score           92.25


                   American Mathematics Competitions
                   2009 AMC 12 A Results for Puerto Rico                
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     20

      Number of unofficial participants:          0

      Average score of participants:           69.7

      Average score for female students  is:   62.4  (     7 Students)
      Average score for male students is:      73.6  (    13 Students)
      Average score for grade 12 is:           68.8  (     9 Students)
      Average score for grade 11 is:           73.9  (    10 Students)
      Average score for grade 8 and below is:  34.5  (     1 Student) 

        AIME qualifying score =   97.5 or better
        Number of AIME qualifers                  2

        Number of schools returning results       2
        Average school winning score          111.00
        Average school team score             270.00
 


                   American Mathematics Competitions
                   2009 AMC 10 B Results for Puerto Rico                
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     19

      Number of unofficial participants:          0

      Average score of participants:           61.3

      Average score for female students  is:   56.2  (     9 Students)
      Average score for male students is:      65.8  (    10 Students)
      Average score for grade 10 is:           62.0  (    13 Students)
      Average score for grade 9 is:            59.8  (     6 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  0

        Number of schools returning results       1
        Average school winning score           85.50


                   American Mathematics Competitions
                   2009 AMC 12 B Results for Puerto Rico                
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     30

      Number of unofficial participants:          0

      Average score of participants:           72.1

      Average score for female students  is:   76.3  (     6 Students)
      Average score for male students is:      71.0  (    24 Students)
      Average score for grade 12 is:           73.2  (    13 Students)
      Average score for grade 11 is:           69.7  (    15 Students)
      Average score for grade 9 is:            90.0  (     1 Student) 
      Average score for grade 8 and below is:  75.0  (     1 Student) 

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                  3

        Number of schools returning results       4
        Average school winning score          100.50
        Average school team score             254.63
 


    2009 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    298.5                   1         1
    274.5         1                   2
    265.5         1         1         3
    262.5                   1         5
    192.0                   1         6
 


         2009 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    112.5         1
    109.5         1                   1
    108.0                   1
    100.5                   2
     99.0                   1
     94.5                   1
     93.0                   1
     91.5                   1
     90.0                   1
     88.5         1
     85.5                                       1
     84.0                   1                   1
     82.5                   1         1
     79.5         1
     76.5         2                   1
     75.0                   3         2         2
     73.5         1                   1
     72.0                             1         1
     69.0         3         3
     67.5         2                             1
     66.0         1         4                   2
     64.5         1                             1
     63.0                             1
     61.5         1                   1
     60.0                   1         1         1
     58.5                                       1
     57.0         2         1                   1
     55.5                   3         2         2
     54.0         1         1
     52.5                   2                   1
     48.0                             1         1
     46.5                   1         1         1
     42.0                             2         1
     40.5         1
     34.5         1
     33.0                   1                   1
     30.0                             1
     21.0                             1



                   American Mathematics Competitions
                   2009 AMC 10 A Results for Puerto Rico                
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2009 AMC 10 A Results for Puerto Rico                
                              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    0.00      0.00      0.00      0.00     94.44*     5.56      0.00
      2   83.33*     0.00      5.56      0.00      5.56      5.56      0.00
      3    0.00     22.22     66.67*     0.00      0.00     11.11      0.00
      4   22.22*     5.56      0.00      5.56     16.67     50.00      0.00
      5   11.11      5.56      5.56      5.56     66.67*     5.56      0.00
      6   44.44*    11.11     16.67      0.00      0.00     27.78      0.00
      7    5.56      0.00     11.11*     5.56     50.00     27.78      0.00
      8   11.11     66.67*    11.11      0.00      5.56      5.56      0.00
      9    5.56     16.67*     0.00     16.67      0.00     61.11      0.00
     10   16.67      5.56*     5.56     27.78      0.00     44.44      0.00
     11    0.00      5.56      0.00     50.00*     0.00     44.44      0.00
     12    5.56     11.11     16.67*     5.56      5.56     55.56      0.00
     13   16.67      5.56      5.56      0.00     16.67*    55.56      0.00
     14   27.78*     5.56     11.11     11.11      0.00     44.44      0.00
     15    0.00      5.56      5.56      5.56     27.78*    55.56      0.00
     16   11.11      0.00     11.11     16.67*     0.00     61.11      0.00
     17    0.00      5.56      0.00*    11.11      0.00     83.33      0.00
     18   38.89      5.56      5.56     11.11*     0.00     38.89      0.00
     19   11.11      0.00*    16.67      0.00      5.56     66.67      0.00
     20   11.11      0.00     16.67     33.33*     0.00     38.89      0.00
     21   11.11      0.00      5.56*     0.00      0.00     83.33      0.00
     22    5.56      5.56      5.56     11.11*    11.11     61.11      0.00
     23    0.00      0.00     11.11      5.56     11.11*    72.22      0.00
     24    5.56      5.56      5.56*     0.00     11.11     72.22      0.00
     25    5.56     11.11*    11.11      5.56      0.00     66.67      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 Puerto Rico                
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2009 AMC 12 A Results for Puerto Rico                
                              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   90.00*     5.00      0.00      0.00      0.00      5.00      0.00
      2    0.00      0.00     95.00*     0.00      5.00      0.00      0.00
      3   10.00     80.00*     0.00      5.00      5.00      0.00      0.00
      4   90.00*     0.00      0.00      0.00      0.00     10.00      0.00
      5    5.00      0.00     10.00     75.00*     0.00     10.00      0.00
      6   10.00     20.00      0.00     20.00     40.00*    10.00      0.00
      7    0.00     40.00*     5.00      5.00      0.00     50.00      0.00
      8   65.00*     5.00     15.00      0.00      0.00     15.00      0.00
      9    5.00      5.00      0.00     45.00*    10.00     35.00      0.00
     10    5.00     10.00     35.00*    10.00     15.00     25.00      0.00
     11    0.00      0.00      5.00      5.00     80.00*    10.00      0.00
     12    5.00     20.00*    15.00     15.00      5.00     40.00      0.00
     13   15.00      5.00     10.00     25.00*     5.00     35.00      5.00
     14   15.00      5.00*     0.00     15.00      5.00     60.00      0.00
     15    5.00      0.00     10.00     35.00*    15.00     35.00      0.00
     16    5.00     10.00      0.00     10.00*     5.00     70.00      0.00
     17    5.00      0.00     20.00*     0.00      5.00     70.00      0.00
     18   25.00      0.00*     0.00      0.00      5.00     70.00      0.00
     19    5.00      0.00     15.00*     5.00     10.00     65.00      0.00
     20    0.00      0.00     10.00     10.00      0.00*    80.00      0.00
     21    5.00      0.00      5.00*     0.00      0.00     90.00      0.00
     22    0.00      0.00      5.00      0.00      0.00*    95.00      0.00
     23    0.00      0.00      0.00      0.00*     0.00    100.00      0.00
     24    5.00      0.00      0.00      0.00      0.00*    95.00      0.00
     25    0.00*    10.00      0.00      0.00      0.00     90.00      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 10 B Results for Puerto Rico                
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2009 AMC 10 B Results for Puerto Rico                
                              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    0.00     68.42*     5.26     21.05      0.00      5.26      0.00
      2    5.26      0.00     89.47*     0.00      0.00      5.26      0.00
      3    5.26      5.26     63.16*    21.05      0.00      5.26      0.00
      4    0.00      0.00     68.42*     5.26      5.26     21.05      0.00
      5   15.79      0.00     15.79     57.89*    10.53      0.00      0.00
      6    0.00      0.00      0.00     84.21*     5.26     10.53      0.00
      7   26.32     31.58     36.84*     5.26      0.00      0.00      0.00
      8   10.53      0.00*    10.53     63.16      5.26     10.53      0.00
      9   26.32*     0.00      5.26      0.00      0.00     68.42      0.00
     10   26.32     15.79      0.00      0.00     31.58*    26.32      0.00
     11   52.63*     5.26      0.00      5.26      5.26     31.58      0.00
     12   21.05*    10.53     15.79     10.53     10.53     31.58      0.00
     13    5.26     10.53     36.84*     0.00     15.79     31.58      0.00
     14   10.53     31.58      5.26     31.58*    15.79      5.26      0.00
     15   10.53     15.79      5.26     15.79     42.11*    10.53      0.00
     16   21.05     15.79*     5.26      0.00      0.00     57.89      0.00
     17   36.84     10.53      5.26*     5.26      0.00     42.11      0.00
     18    0.00      5.26      5.26      5.26*     5.26     78.95      0.00
     19   15.79*    10.53      5.26     15.79     15.79     36.84      0.00
     20    5.26      5.26*    21.05      0.00      0.00     68.42      0.00
     21    0.00     10.53      5.26      5.26*    21.05     57.89      0.00
     22    0.00      0.00*     0.00      5.26      0.00     94.74      0.00
     23   10.53     26.32     10.53*     5.26      0.00     47.37      0.00
     24   21.05*     5.26      0.00      5.26      0.00     68.42      0.00
     25   10.53     10.53*    15.79     10.53      5.26     47.37      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 Puerto Rico                
                         SCORE DISTRIBUTION 

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


                   American Mathematics Competitions
                   2009 AMC 12 B Results for Puerto Rico                
                              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    0.00     93.33*     6.67      0.00      0.00      0.00      0.00
      2    3.33      0.00     76.67*    16.67      0.00      3.33      0.00
      3    6.67      0.00      6.67     70.00*     6.67     10.00      0.00
      4    0.00      3.33     93.33*     3.33      0.00      0.00      0.00
      5    0.00      6.67      3.33     90.00*     0.00      0.00      0.00
      6   10.00     30.00     46.67*     3.33     10.00      0.00      0.00
      7    3.33     43.33*     3.33     36.67      6.67      6.67      0.00
      8    0.00      3.33      0.00      3.33     80.00*    13.33      0.00
      9   50.00*     3.33      3.33     13.33      0.00     30.00      0.00
     10   43.33*    26.67     10.00      6.67      0.00     13.33      0.00
     11    3.33     23.33     20.00     26.67*     6.67     20.00      0.00
     12    6.67      0.00     10.00      0.00     30.00*    53.33      0.00
     13    0.00      6.67      3.33     33.33*     3.33     53.33      0.00
     14    3.33     13.33     53.33*     0.00      0.00     30.00      0.00
     15    3.33     46.67*    10.00      3.33      6.67     30.00      0.00
     16    3.33      3.33*     6.67      0.00      3.33     83.33      0.00
     17   13.33     23.33*    16.67      0.00      0.00     46.67      0.00
     18    3.33      6.67      6.67*     3.33      3.33     76.67      0.00
     19    0.00      3.33      0.00      3.33      3.33*    90.00      0.00
     20    0.00      0.00      3.33*     3.33      3.33     90.00      0.00
     21    3.33*     0.00      3.33      6.67     20.00     66.67      0.00
     22    3.33      3.33      3.33*     3.33      3.33     83.33      0.00
     23    0.00      0.00      0.00     10.00*     0.00     90.00      0.00
     24    6.67      3.33*     3.33      0.00      3.33     83.33      0.00
     25   10.00      3.33      3.33      0.00      0.00*    83.33      0.00


   (*)  Correct Response

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