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                   American Mathematics Competitions
                   2005 AMC 10 A Results for Rhode Island               
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    182

      Number of unofficial participants:          0

      Average score of participants:           76.8

      Average score for female students  is:   73.7  (    70 Students)
      Average score for male students is:      80.3  (    94 Students)
      Average score for unspecified gender is  71.1  (    18 Students)
      Average score for grade 10 is:           78.9  (    94 Students)
      Average score for grade 9 is:            76.1  (    70 Students)
      Average score for grade 8 and below is:  67.9  (     5 Students)
      Average score with unknown grade:        69.5  (    13 Students)

        AIME qualifying score =  120.0 or better
        Number of AIME qualifers                  2

        Number of schools returning results       8
        Average school winning score          108.00


                   American Mathematics Competitions
                   2005 AMC 12 A Results for Rhode Island               
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    184

      Number of unofficial participants:          0

      Average score of participants:           82.2

      Average score for female students  is:   79.2  (    77 Students)
      Average score for male students is:      84.0  (   101 Students)
      Average score for unspecified gender is  89.7  (     6 Students)
      Average score for grade 12 is:           80.7  (    96 Students)
      Average score for grade 11 is:           83.5  (    85 Students)
      Average score for grade 10 is:          112.5  (     1 Student) 
      Average score with unknown grade:        87.8  (     2 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 18

        Number of schools returning results       8
        Average school winning score          114.75
        Average school team score             301.63
 


                   American Mathematics Competitions
                   2005 AMC 10 B Results for Rhode Island               
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    202

      Number of unofficial participants:          0

      Average score of participants:           78.5

      Average score for female students  is:   74.1  (    91 Students)
      Average score for male students is:      82.2  (   106 Students)
      Average score for unspecified gender is  79.4  (     5 Students)
      Average score for grade 10 is:           78.2  (   132 Students)
      Average score for grade 9 is:            77.8  (    63 Students)
      Average score for grade 8 and below is:  96.6  (     6 Students)
      Average score with unknown grade:        56.5  (     1 Student) 

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

        Number of schools returning results       9
        Average school winning score          104.50


                   American Mathematics Competitions
                   2005 AMC 12 B Results for Rhode Island               
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    355

      Number of unofficial participants:          0

      Average score of participants:           78.7

      Average score for female students  is:   76.2  (   172 Students)
      Average score for male students is:      81.3  (   172 Students)
      Average score for unspecified gender is  78.4  (    11 Students)
      Average score for grade 12 is:           80.1  (   184 Students)
      Average score for grade 11 is:           77.1  (   161 Students)
      Average score for grade 10 is:           91.2  (     3 Students)
      Average score with unknown grade:        76.1  (     7 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                 22

        Number of schools returning results      12
        Average school winning score          110.25
        Average school team score             255.75
 
 


    2005 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    363.5         1                   1
    350.5         1                   2
    331.5         1                   3
    325.0                   1         4
    316.5                   1         5
    314.0                   1         6
    310.0         1                   7
    304.5         1                   8
    304.0                   1         9
    300.0         1                  10
    296.5                   1        11
    293.5         1                  12
    292.5                   1        13
    287.5                   1        14
    286.5                   1        15
    286.0                   1        16
    159.5         1                  17
    143.0                   1        18
    112.0                   1        19
    105.5                   1        20


         2005 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    143.0                   1
    136.0         2
    126.5                             1
    123.0                             1
    119.5                   1
    118.5         1
    118.0         1
    117.0         1
    116.0         1         1
    115.5                                       1
    113.5                             1
    112.5         3                   1
    112.0                   1         2
    111.5                             1
    110.0         1
    109.0         1         1         2
    108.5                                       1
    107.5                             1         2
    106.5                   1
    105.5                   2                   1
    105.0                   1                   1
    104.0                                       1
    103.0         2         1                   3
    102.0         2         4         1         2
    101.5                             2
    101.0         2         5         2         1
    100.5         1         3         1         1
     99.5                   2         1         1
     99.0         1                   1
     98.5                   5                   1
     98.0                   1         1         1
     97.0         3         2                   2
     96.0         3         1         1         1
     95.5                   1                   2
     95.0         5         6         1         3
     94.5                   2         2         4
     94.0         2         1                   1
     93.5         2                   1         2
     93.0                   1                   1
     92.5         5         7                   1
     92.0         1         2         3         3
     91.5         2         2         2         1
     91.0         2         4         1         2
     90.5                   1
     90.0         8         9         1         5
     89.5                                       2
     89.0         4        13         2         1
     88.5         1         2         2         3
     88.0         2         6         2
     87.5         3         3         1         1
     87.0         1         2         2         3
     86.5         2         8         2         6
     86.0         1         2                   1
     85.5         8         8         4         1
     85.0         2         4                   4
     84.5         5         5         2         1
     84.0         1        10         2         8
     83.5         1         4                   6
     83.0         6         5         5         2
     82.5                             1
     82.0         4         8         4         4
     81.5         1         7         3         1
     81.0         6         8         1         1
     80.5         4         4         5         9
     80.0         1         2         2         2
     79.5         5         5         5         4
     79.0         1         5         2         1
     78.5         2         7         4         2
     78.0         3         5         3         1
     77.5                   2         4         2
     77.0         5        13         4         3
     76.5         1         8         1         4
     76.0         5                             3
     75.5         1         4         1         5
     75.0         3         4         3
     74.5         2        10         4         5
     74.0         4         2         2         2
     73.5         4         4         3         3
     73.0         1         2         1         5
     72.5                   1         3         1
     72.0                   6         2         4
     71.5         1         2         2         1
     71.0         6         7         3         1
     70.5                   6         1         1
     70.0         3         5         3         4
     69.5                   5         3         2
     69.0         3         1         2         3
     68.5         2         2         2         1
     68.0         1         2                   1
     67.5         3         5         4         3
     67.0         1         6         2         2
     66.5         2         4         4
     66.0         1         2         2         2
     65.5         1         4         3         3
     65.0         2         6         5         3
     64.5                   2                   3
     64.0         1         2
     63.5                   1         1         1
     63.0         2         2         1         1
     62.5         1         4         3         2
     62.0                   3
     61.5                   2         2
     61.0                   2         2
     60.5                   1         3
     60.0         1         3         2         1
     59.5         1         4         3         2
     59.0         1         2
     58.5                   2         1         1
     58.0         1                   3         1
     57.0                   1
     56.5         1         1                   2
     56.0                   1         1         2
     55.5                                       1
     55.0                   1         2
     54.5         2         1         2
     54.0                   4
     53.0                   1
     52.5                   2
     51.5                                       1
     50.5                                       1
     50.0         1                             2
     49.5                                       1
     48.5                                       1
     48.0                   1         1
     47.5                   1         1
     46.5                             1
     46.0                             1
     45.0         1
     44.0                                       1
     43.0         1
     42.5                   1
     42.0         1         1
     41.5                             1
     41.0         1         1
     40.5                                       1
     39.0                                       1
     36.0                   2
     35.0                   1
     34.5                                       1
     32.5                                       1
     30.5                                       1
     30.0                             1
     24.0                             1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for Rhode Island               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0                      125.0                      100.0
    149.5                      124.5                       99.5            1
    149.0                      124.0                       99.0      1
    148.5                      123.5                       98.5
    148.0                      123.0      1                98.0      1
    147.5                      122.5                       97.5
    147.0                      122.0                       97.0
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0            1
    145.5                      120.5                       95.5
    145.0                      120.0                       95.0      1
    144.5                      119.5                       94.5      2
    144.0                      119.0                       94.0
    143.5                      118.5                       93.5      1
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5
    142.0                      117.0                       92.0      2     1
    141.5                      116.5                       91.5      2
    141.0                      116.0                       91.0            1
    140.5                      115.5                       90.5
    140.0                      115.0                       90.0            1
    139.5                      114.5                       89.5
    139.0                      114.0                       89.0      1     1
    138.5                      113.5      1                88.5      1     1
    138.0                      113.0                       88.0      1     1
    137.5                      112.5      1                87.5      1
    137.0                      112.0      1                87.0      1     1
    136.5                      111.5            1          86.5      1     1
    136.0                      111.0                       86.0
    135.5                      110.5                       85.5      4
    135.0                      110.0                       85.0
    134.5                      109.5                       84.5            2
    134.0                      109.0      2                84.0      1     1
    133.5                      108.5                       83.5
    133.0                      108.0                       83.0      4     1
    132.5                      107.5      1                82.5      1
    132.0                      107.0                       82.0      2     2
    131.5                      106.5                       81.5      2     1
    131.0                      106.0                       81.0            1
    130.5                      105.5                       80.5      4     1
    130.0                      105.0                       80.0      1     1
    129.5                      104.5                       79.5      3     1
    129.0                      104.0                       79.0      1     1
    128.5                      103.5                       78.5      3     1
    128.0                      103.0                       78.0      3
    127.5                      102.5                       77.5      2     1
    127.0                      102.0                       77.0      1     3
    126.5      1               101.5      2                76.5      1
    126.0                      101.0      1     1          76.0
    125.5                      100.5      1                75.5      1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for Rhode Island               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0            3          50.0                       25.0
     74.5      2     2          49.5                       24.5
     74.0            2          49.0                       24.0            1
     73.5            3          48.5                       23.5
     73.0                       48.0      1                23.0
     72.5      1     1          47.5      1                22.5
     72.0      2                47.0                       22.0
     71.5      2                46.5            1          21.5
     71.0      2     1          46.0            1          21.0
     70.5                       45.5                       20.5
     70.0      1     2          45.0                       20.0
     69.5            2          44.5                       19.5
     69.0            2          44.0                       19.0
     68.5      1     1          43.5                       18.5
     68.0                       43.0                       18.0
     67.5      2     2          42.5                       17.5
     67.0            1          42.0                       17.0
     66.5      2     2          41.5      1                16.5
     66.0                       41.0                       16.0
     65.5      1     1          40.5                       15.5
     65.0      3     2          40.0                       15.0
     64.5                       39.5                       14.5
     64.0                       39.0                       14.0
     63.5      1                38.5                       13.5
     63.0      1                38.0                       13.0
     62.5            1          37.5                       12.5
     62.0                       37.0                       12.0
     61.5      1     1          36.5                       11.5
     61.0      1                36.0                       11.0
     60.5      2     1          35.5                       10.5
     60.0            1          35.0                       10.0
     59.5            3          34.5                        9.5
     59.0                       34.0                        9.0
     58.5                       33.5                        8.5
     58.0            3          33.0                        8.0
     57.5                       32.5                        7.5
     57.0                       32.0                        7.0
     56.5                       31.5                        6.5
     56.0      1                31.0                        6.0
     55.5                       30.5                        5.5
     55.0      1     1          30.0      1                 5.0
     54.5      1                29.5                        4.5
     54.0                       29.0                        4.0
     53.5                       28.5                        3.5
     53.0                       28.0                        3.0
     52.5                       27.5                        2.5
     52.0                       27.0                        2.0
     51.5                       26.5                        1.5
     51.0                       26.0                        1.0
     50.5                       25.5                         .5
                                                            0.0      0     0



                   American Mathematics Competitions
                   2005 AMC 10 A Results for Rhode Island               
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   126.5                           1
   123.0                           1
   113.5                                  1
   112.5                                  1
   112.0                           1      1
   111.5                                  1
   109.0                                  2
   107.5                                  1
   102.0                                         1
   101.5                           1      1
   101.0                           1      1
   100.5                                  1
    99.5                                  1
    99.0                                  1
    98.0                                  1
    96.0                                  1
    95.0                                  1
    94.5                           1      1
    93.5                           1
    92.0                                  3
    91.5                           2
    91.0                                  1
    90.0                                  1
    89.0                           2
    88.5                                  2
    88.0                           1      1
    87.5                           1
    87.0                           1      1
    86.5                           1      1
    85.5                           1      3
    84.5                           1      1
    84.0                           1      1
    83.0                           3      2
    82.5                           1
    82.0                           2      2
    81.5                           1      2
    81.0                                  1
    80.5                           2      3
    80.0                                  2
    79.5                    1      1      2      1
    79.0                                  2
    78.5                           2      2
    78.0                                  3
    77.5             1             1      2
    77.0                           1      3
    76.5                           1
    75.5                                  1
    75.0                           2      1
    74.5                           2      2
    74.0                           1      1
    73.5                           2      1
    73.0                                         1
    72.5                           1      1      1
    72.0                                  2
    71.5                                  2
    71.0                                  3
    70.5                           1
    70.0                           1      2
    69.5                                  2      1
    69.0                           2
    68.5                           1      1
    67.5                           3      1
    67.0                           1             1
    66.5                           2      2
    66.0                                         2
    65.5                    1      1             1
    65.0                           4      1
    63.5                                  1
    63.0                           1
    62.5      1                           1      1
    61.5                           2
    61.0                           1             1
    60.5                           2      1
    60.0                           1             1
    59.5                           2      1
    58.5                                         1
    58.0                           1      2
    56.0                                  1
    55.0                                  2
    54.5                    1      1
    48.0                                  1
    47.5                                  1
    46.5                           1
    46.0                                  1
    41.5                                  1
    30.0                           1
    24.0                                  1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for Rhode Island               
                              Analysis      


                   Table of Item Difficulty for the 2005
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.33      0.22      0.33      8.52*     0.22      0.38      0.00
      2    0.11      0.27      5.82*     0.00      1.43      2.36      0.00
      3    0.11      8.96*     0.00      0.27      0.00      0.66      0.00
      4    0.66      1.37*     1.32      0.60      0.88      5.16      0.00
      5    5.88*     0.27      3.02      0.11      0.00      0.71      0.00
      6    0.11      5.71*     2.25      0.38      0.16      1.37      0.00
      7    0.55      3.96*     0.38      0.22      0.33      4.56      0.00
      8    0.60      0.27      4.12*     0.16      0.22      4.62      0.00
      9    1.21      5.99*     0.60      0.05      0.05      2.09      0.00
     10    1.37*     0.16      0.55      0.11      0.11      7.69      0.00
     11    0.22      1.59*     0.16      0.44      0.22      7.36      0.00
     12    0.16      1.10*     0.60      0.16      0.44      7.53      0.00
     13    0.71      0.44      0.27      0.16      1.15*     7.25      0.00
     14    1.15      0.16      0.22      0.38      2.80*     5.27      0.00
     15    0.16      0.27      0.66      0.66      0.77*     7.47      0.00
     16    0.44      0.16      0.82      2.36*     0.00      6.21      0.00
     17    0.16      0.27      0.16      1.76*     0.27      7.36      0.00
     18    1.26*     1.92      0.77      3.19      0.22      2.64      0.00
     19    0.22      0.60      0.60      3.57*     0.49      4.51      0.00
     20    0.66*     0.16      0.38      0.16      0.38      8.24      0.00
     21    1.15      0.66*     0.16      0.11      0.27      7.64      0.00
     22    0.66      0.49      0.22      2.03*     0.11      6.48      0.00
     23    0.00      0.11      0.77*     0.71      0.66      7.75      0.00
     24    0.71      0.27*     0.22      0.05      0.05      8.68      0.00
     25    0.27      0.44      0.27      0.33*     0.05      8.63      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
                   2005 AMC 12 A Results for Rhode Island               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0                      125.0                      100.0
    149.5                      124.5                       99.5
    149.0                      124.0                       99.0      1
    148.5                      123.5                       98.5
    148.0                      123.0                       98.0
    147.5                      122.5                       97.5
    147.0                      122.0                       97.0      2     1
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0      3
    145.5                      120.5                       95.5
    145.0                      120.0                       95.0      4     1
    144.5                      119.5                       94.5
    144.0                      119.0                       94.0      1     1
    143.5                      118.5                       93.5      2
    143.0                      118.0      1                93.0
    142.5                      117.5                       92.5      5
    142.0                      117.0      1                92.0            1
    141.5                      116.5                       91.5      1     1
    141.0                      116.0                       91.0      1     1
    140.5                      115.5                       90.5
    140.0                      115.0                       90.0      4     4
    139.5                      114.5                       89.5
    139.0                      114.0                       89.0      4
    138.5                      113.5                       88.5            1
    138.0                      113.0                       88.0            1
    137.5                      112.5      3                87.5      2     1
    137.0                      112.0                       87.0            1
    136.5                      111.5                       86.5      1     1
    136.0      2               111.0                       86.0      1
    135.5                      110.5                       85.5      3     5
    135.0                      110.0      1                85.0      1     1
    134.5                      109.5                       84.5      2     3
    134.0                      109.0      1                84.0            1
    133.5                      108.5                       83.5      1
    133.0                      108.0                       83.0      3     3
    132.5                      107.5                       82.5
    132.0                      107.0                       82.0      1     3
    131.5                      106.5                       81.5            1
    131.0                      106.0                       81.0      3     2
    130.5                      105.5                       80.5      2     2
    130.0                      105.0                       80.0      1
    129.5                      104.5                       79.5      1     4
    129.0                      104.0                       79.0      1
    128.5                      103.5                       78.5      1     1
    128.0                      103.0      2                78.0      2     1
    127.5                      102.5                       77.5
    127.0                      102.0      2                77.0            5
    126.5                      101.5                       76.5      1
    126.0                      101.0      1     1          76.0      4     1
    125.5                      100.5            1          75.5      1



                   American Mathematics Competitions
                   2005 AMC 12 A Results for Rhode Island               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0            2          50.0      1                25.0
     74.5            2          49.5                       24.5
     74.0      2     2          49.0                       24.0
     73.5      1     3          48.5                       23.5
     73.0      1                48.0                       23.0
     72.5                       47.5                       22.5
     72.0                       47.0                       22.0
     71.5            1          46.5                       21.5
     71.0      4     2          46.0                       21.0
     70.5                       45.5                       20.5
     70.0      2     1          45.0      1                20.0
     69.5                       44.5                       19.5
     69.0            3          44.0                       19.0
     68.5      1     1          43.5                       18.5
     68.0            1          43.0      1                18.0
     67.5      1     2          42.5                       17.5
     67.0            1          42.0            1          17.0
     66.5      1     1          41.5                       16.5
     66.0            1          41.0      1                16.0
     65.5            1          40.5                       15.5
     65.0      2                40.0                       15.0
     64.5                       39.5                       14.5
     64.0      1                39.0                       14.0
     63.5                       38.5                       13.5
     63.0      2                38.0                       13.0
     62.5            1          37.5                       12.5
     62.0                       37.0                       12.0
     61.5                       36.5                       11.5
     61.0                       36.0                       11.0
     60.5                       35.5                       10.5
     60.0      1                35.0                       10.0
     59.5                       34.5                        9.5
     59.0      1                34.0                        9.0
     58.5                       33.5                        8.5
     58.0            1          33.0                        8.0
     57.5                       32.5                        7.5
     57.0                       32.0                        7.0
     56.5      1                31.5                        6.5
     56.0                       31.0                        6.0
     55.5                       30.5                        5.5
     55.0                       30.0                        5.0
     54.5      2                29.5                        4.5
     54.0                       29.0                        4.0
     53.5                       28.5                        3.5
     53.0                       28.0                        3.0
     52.5                       27.5                        2.5
     52.0                       27.0                        2.0
     51.5                       26.5                        1.5
     51.0                       26.0                        1.0
     50.5                       25.5                         .5
                                                            0.0      0     0



                   American Mathematics Competitions
                   2005 AMC 12 A Results for Rhode Island               
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   136.0                                         1      1
   118.5                                         1
   118.0                                         1
   117.0                                                1
   116.0                                                              1
   112.5                                  1      1      1
   110.0                                                1
   109.0                                         1
   103.0                                         2
   102.0                                         2
   101.0                                                2
   100.5                                                1
    99.0                                         1
    97.0                                         2      1
    96.0                                         2      1
    95.0                                         1      4
    94.0                                         2
    93.5                                         1      1
    92.5                                         1      4
    92.0                                                1
    91.5                                         2
    91.0                                         2
    90.0                                         3      5
    89.0                                         2      2
    88.5                                                1
    88.0                                         1      1
    87.5                                                3
    87.0                                         1
    86.5                                                2
    86.0                                                1
    85.5                                         3      5
    85.0                                         2
    84.5                                         3      2
    84.0                                                1
    83.5                                                1
    83.0                                         2      4
    82.0                                         3      1
    81.5                                                1
    81.0                                         4      2
    80.5                                         2      2
    80.0                                         1
    79.5                                         3      2
    79.0                                         1
    78.5                                         1      1
    78.0                                         2      1
    77.0                                         2      3
    76.5                                         1
    76.0                                         3      2
    75.5                                                1
    75.0                                         1      2
    74.5                                                2
    74.0                                         2      2
    73.5                                         1      3
    73.0                                         1
    71.5                                         1
    71.0                                         4      2
    70.0                                         1      2
    69.0                                                3
    68.5                                         1      1
    68.0                                         1
    67.5                                         2      1
    67.0                                                1
    66.5                                         1      1
    66.0                                         1
    65.5                                                1
    65.0                                         1      1
    64.0                                                1
    63.0                                                2
    62.5                                                1
    60.0                                         1
    59.5                                                              1
    59.0                                         1
    58.0                                         1
    56.5                                                1
    54.5                                                2
    50.0                                                1
    45.0                                                1
    43.0                                                1
    42.0                                                1
    41.0                                         1



                   American Mathematics Competitions
                   2005 AMC 12 A Results for Rhode Island               
                              Analysis      


                   Table of Item Difficulty for the 2005
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    0.00      0.11      0.16      9.73*     0.00      0.00      0.00
      2    0.00      9.35*     0.16      0.38      0.00      0.11      0.00
      3    0.33      4.67*     0.76      0.49      0.76      2.99      0.00
      4    7.61*     0.27      1.85      0.00      0.00      0.22      0.05
      5    0.11      7.61*     1.47      0.16      0.16      0.49      0.00
      6    0.33      5.49*     0.43      0.22      0.54      2.99      0.00
      7    0.22      0.16      8.64*     0.00      0.00      0.98      0.00
      8    0.27      0.82      0.22      2.23*     0.16      6.30      0.00
      9    3.32*     0.71      0.82      0.11      0.16      4.89      0.00
     10    0.22      3.32*     0.00      0.43      0.11      5.92      0.00
     11    1.58      0.16      0.11      0.49      3.64*     4.02      0.00
     12    0.60      0.16      0.16      4.35*     0.87      3.86      0.00
     13    0.16      0.05      0.05      2.99*     0.27      6.47      0.00
     14    0.16      0.16      3.37      1.09*     0.38      4.84      0.00
     15    0.22      0.33      1.41*     0.43      0.82      6.79      0.00
     16    0.16      0.16      0.60      0.65*     0.71      7.72      0.00
     17    1.63*     0.54      1.14      0.22      0.38      6.09      0.00
     18    0.54*     0.22      0.05      0.22      0.38      8.59      0.00
     19    1.47      2.28*     0.65      0.38      0.92      4.29      0.00
     20    0.22      0.22      0.05      0.27      0.22*     9.02      0.00
     21    0.38      0.60      0.33*     0.16      0.00      8.53      0.00
     22    0.49      0.54*     0.27      0.33      0.11      8.26      0.00
     23    0.27      0.60*     0.11      0.16      0.38      8.48      0.00
     24    0.00      0.11*     0.05      0.16      0.00      9.67      0.00
     25    0.27      0.00      0.11*     0.11      0.05      9.46      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
                   2005 AMC 10 B Results for Rhode Island               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0                      125.0                      100.0
    149.5                      124.5                       99.5            1
    149.0                      124.0                       99.0
    148.5                      123.5                       98.5      1
    148.0                      123.0                       98.0      1
    147.5                      122.5                       97.5
    147.0                      122.0                       97.0      2
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0            1
    145.5                      120.5                       95.5      2
    145.0                      120.0                       95.0            3
    144.5                      119.5                       94.5      3     1
    144.0                      119.0                       94.0      1
    143.5                      118.5                       93.5      2
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5      1
    142.0                      117.0                       92.0      3
    141.5                      116.5                       91.5            1
    141.0                      116.0                       91.0      1     1
    140.5                      115.5      1                90.5
    140.0                      115.0                       90.0      3     2
    139.5                      114.5                       89.5      2
    139.0                      114.0                       89.0      1
    138.5                      113.5                       88.5      2     1
    138.0                      113.0                       88.0
    137.5                      112.5                       87.5      1
    137.0                      112.0                       87.0      1     2
    136.5                      111.5                       86.5      4     2
    136.0                      111.0                       86.0      1
    135.5                      110.5                       85.5      1
    135.0                      110.0                       85.0      1     2
    134.5                      109.5                       84.5      1
    134.0                      109.0                       84.0      3     5
    133.5                      108.5            1          83.5            6
    133.0                      108.0                       83.0      1     1
    132.5                      107.5      2                82.5
    132.0                      107.0                       82.0      2     2
    131.5                      106.5                       81.5      1
    131.0                      106.0                       81.0            1
    130.5                      105.5      1                80.5      5     4
    130.0                      105.0      1                80.0      2
    129.5                      104.5                       79.5      3     1
    129.0                      104.0      1                79.0      1
    128.5                      103.5                       78.5            1
    128.0                      103.0      3                78.0      1
    127.5                      102.5                       77.5      1     1
    127.0                      102.0      2                77.0      1     2
    126.5                      101.5                       76.5      3     1
    126.0                      101.0      1                76.0      2     1
    125.5                      100.5      1                75.5      3     2



                   American Mathematics Competitions
                   2005 AMC 10 B Results for Rhode Island               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0                       50.0      2                25.0
     74.5      2     3          49.5            1          24.5
     74.0      1     1          49.0                       24.0
     73.5      2     1          48.5            1          23.5
     73.0      3     1          48.0                       23.0
     72.5            1          47.5                       22.5
     72.0      3     1          47.0                       22.0
     71.5            1          46.5                       21.5
     71.0      1                46.0                       21.0
     70.5            1          45.5                       20.5
     70.0            4          45.0                       20.0
     69.5      1     1          44.5                       19.5
     69.0            3          44.0            1          19.0
     68.5            1          43.5                       18.5
     68.0            1          43.0                       18.0
     67.5      1     1          42.5                       17.5
     67.0            2          42.0                       17.0
     66.5                       41.5                       16.5
     66.0      1     1          41.0                       16.0
     65.5      2     1          40.5      1                15.5
     65.0      1     2          40.0                       15.0
     64.5      2     1          39.5                       14.5
     64.0                       39.0            1          14.0
     63.5            1          38.5                       13.5
     63.0            1          38.0                       13.0
     62.5      2                37.5                       12.5
     62.0                       37.0                       12.0
     61.5                       36.5                       11.5
     61.0                       36.0                       11.0
     60.5                       35.5                       10.5
     60.0            1          35.0                       10.0
     59.5      1     1          34.5            1           9.5
     59.0                       34.0                        9.0
     58.5            1          33.5                        8.5
     58.0            1          33.0                        8.0
     57.5                       32.5      1                 7.5
     57.0                       32.0                        7.0
     56.5      1     1          31.5                        6.5
     56.0      1     1          31.0                        6.0
     55.5            1          30.5            1           5.5
     55.0                       30.0                        5.0
     54.5                       29.5                        4.5
     54.0                       29.0                        4.0
     53.5                       28.5                        3.5
     53.0                       28.0                        3.0
     52.5                       27.5                        2.5
     52.0                       27.0                        2.0
     51.5            1          26.5                        1.5
     51.0                       26.0                        1.0
     50.5            1          25.5                         .5
                                                            0.0      0     0



                   American Mathematics Competitions
                   2005 AMC 10 B Results for Rhode Island               
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   115.5                           1
   108.5                                  1
   107.5                    2
   105.5                                  1
   105.0                    1
   104.0                                  1
   103.0                                  3
   102.0                           2
   101.0                                  1
   100.5                    1
    99.5                                  1
    98.5                                  1
    98.0                           1
    97.0                                  2
    96.0                                  1
    95.5                                  2
    95.0                           1      2
    94.5                           1      3
    94.0                           1
    93.5                                  2
    93.0                                  1
    92.5                                  1
    92.0                           3
    91.5                                  1
    91.0                                  2
    90.0                           2      3
    89.5                                  2
    89.0                    1
    88.5                           1      2
    87.5                           1
    87.0                           1      2
    86.5                           2      4
    86.0                                  1
    85.5                                  1
    85.0                           1      3
    84.5                                  1
    84.0                           4      4
    83.5                           1      5
    83.0                           1      1
    82.0                           1      3
    81.5                           1
    81.0                                  1
    80.5                           3      6
    80.0                           1      1
    79.5                           3      1
    79.0                           1
    78.5                                  2
    78.0                           1
    77.5                           1      1
    77.0                                  3
    76.5                           1      3
    76.0                           2      1
    75.5                           1      4
    74.5                           2      3
    74.0                           1      1
    73.5                                  3
    73.0                           1      4
    72.5                                  1
    72.0                           1      3
    71.5                                  1
    71.0                           1
    70.5                                  1
    70.0      1                    1      2
    69.5                           1      1
    69.0                           2      1
    68.5                                  1
    68.0                           1
    67.5                                  3
    67.0                           1      1
    66.0                           1      1
    65.5                           1      2
    65.0                           2      1
    64.5                           1      2
    63.5                                  1
    63.0                                  1
    62.5                           1      1
    60.0                                  1
    59.5                                  2
    58.5                                  1
    58.0                                  1
    56.5                                  1      1
    56.0                                  2
    55.5                                  1
    51.5                           1
    50.5                           1
    50.0                                  2
    49.5                           1
    48.5                                  1
    44.0                                  1
    40.5                                  1
    39.0                                  1
    34.5                           1
    32.5                                  1
    30.5                           1



                   American Mathematics Competitions
                   2005 AMC 10 B Results for Rhode Island               
                              Analysis      


                   Table of Item Difficulty for the 2005
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    9.11*     0.25      0.30      0.05      0.25      0.05      0.00
      2    0.15      0.10      0.05      8.81*     0.20      0.69      0.00
      3    0.00      0.89      2.03      5.99*     0.94      0.10      0.05
      4    0.59      0.20      0.54      4.21*     0.25      4.21      0.00
      5    0.15      0.00      9.36*     0.15      0.15      0.20      0.00
      6    0.25      8.61*     0.25      0.30      0.20      0.40      0.00
      7    0.45      0.94*     0.50      1.14      0.69      6.29      0.00
      8    5.35*     0.25      0.84      0.05      0.15      3.37      0.00
      9    0.64      0.74      1.73      5.25*     0.79      0.84      0.00
     10    1.39*     1.29      0.45      0.30      0.50      6.09      0.00
     11    0.10      0.50      0.10      1.93      1.98*     5.40      0.00
     12    0.59      1.34      0.59      0.54      0.10*     6.83      0.00
     13    0.54      0.89      1.49*     2.08      0.59      4.41      0.00
     14    0.35      0.25      1.39*     2.87      0.74      4.41      0.00
     15    1.04      0.74      0.94      4.70*     0.64      1.93      0.00
     16    0.35      0.59      1.09      0.15*     0.15      7.67      0.00
     17    0.54      3.27*     0.69      0.35      0.15      5.00      0.00
     18    0.54      4.31      0.84      2.52*     0.79      0.99      0.00
     19    0.35      6.83*     0.30      0.69      0.35      1.49      0.00
     20    1.19      0.45      1.09*     0.15      0.10      6.98      0.05
     21    0.40*     0.40      0.30      0.54      0.25      8.12      0.00
     22    0.74      0.74      0.40*     0.15      0.30      7.67      0.00
     23    3.07      0.54      0.25*     0.15      0.25      5.74      0.00
     24    0.30      0.20      0.35      0.30      0.99*     7.87      0.00
     25    0.20      0.20      3.61*     0.05      0.25      5.69      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
                   2005 AMC 12 B Results for Rhode Island               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
    150.0                      125.0                      100.0
    149.5                      124.5                       99.5      1     1
    149.0                      124.0                       99.0
    148.5                      123.5                       98.5      3     2
    148.0                      123.0                       98.0      1
    147.5                      122.5                       97.5
    147.0                      122.0                       97.0      1     1
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0      1
    145.5                      120.5                       95.5      1
    145.0                      120.0                       95.0      2     4
    144.5                      119.5            1          94.5      1     1
    144.0                      119.0                       94.0      1
    143.5                      118.5                       93.5
    143.0      1               118.0                       93.0      1
    142.5                      117.5                       92.5      4     3
    142.0                      117.0                       92.0            2
    141.5                      116.5                       91.5      1     1
    141.0                      116.0      1                91.0      2     2
    140.5                      115.5                       90.5            1
    140.0                      115.0                       90.0      6     3
    139.5                      114.5                       89.5
    139.0                      114.0                       89.0      6     5
    138.5                      113.5                       88.5      2
    138.0                      113.0                       88.0      3     3
    137.5                      112.5                       87.5      1     2
    137.0                      112.0      1                87.0      1     1
    136.5                      111.5                       86.5      6     2
    136.0                      111.0                       86.0      1     1
    135.5                      110.5                       85.5      5     3
    135.0                      110.0                       85.0            3
    134.5                      109.5                       84.5      2     3
    134.0                      109.0      1                84.0      5     5
    133.5                      108.5                       83.5      2     2
    133.0                      108.0                       83.0      2     3
    132.5                      107.5                       82.5
    132.0                      107.0                       82.0      3     5
    131.5                      106.5      1                81.5      4     3
    131.0                      106.0                       81.0      4     4
    130.5                      105.5            1          80.5      2     2
    130.0                      105.0      1                80.0      1     1
    129.5                      104.5                       79.5            5
    129.0                      104.0                       79.0      3     2
    128.5                      103.5                       78.5      4     3
    128.0                      103.0      1                78.0      1     3
    127.5                      102.5                       77.5      1
    127.0                      102.0      2     2          77.0      6     7
    126.5                      101.5                       76.5      5     3
    126.0                      101.0      4                76.0
    125.5                      100.5      3                75.5      2     2



                   American Mathematics Competitions
                   2005 AMC 12 B Results for Rhode Island               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0            3          50.0                       25.0
     74.5      9     1          49.5                       24.5
     74.0            2          49.0                       24.0
     73.5      4                48.5                       23.5
     73.0      1     1          48.0      1                23.0
     72.5      1                47.5            1          22.5
     72.0      2     4          47.0                       22.0
     71.5      2                46.5                       21.5
     71.0      3     4          46.0                       21.0
     70.5      3     3          45.5                       20.5
     70.0      4     1          45.0                       20.0
     69.5      2     3          44.5                       19.5
     69.0            1          44.0                       19.0
     68.5            2          43.5                       18.5
     68.0      1     1          43.0                       18.0
     67.5      2     3          42.5            1          17.5
     67.0      2     3          42.0            1          17.0
     66.5      4                41.5                       16.5
     66.0            2          41.0            1          16.0
     65.5      1     3          40.5                       15.5
     65.0      2     4          40.0                       15.0
     64.5      1     1          39.5                       14.5
     64.0      1     1          39.0                       14.0
     63.5      1                38.5                       13.5
     63.0            2          38.0                       13.0
     62.5      1     3          37.5                       12.5
     62.0      1     2          37.0                       12.0
     61.5            2          36.5                       11.5
     61.0      1     1          36.0      1                11.0
     60.5            1          35.5                       10.5
     60.0      1     2          35.0            1          10.0
     59.5            4          34.5                        9.5
     59.0            1          34.0                        9.0
     58.5      1     1          33.5                        8.5
     58.0                       33.0                        8.0
     57.5                       32.5                        7.5
     57.0      1                32.0                        7.0
     56.5      1                31.5                        6.5
     56.0            1          31.0                        6.0
     55.5                       30.5                        5.5
     55.0            1          30.0                        5.0
     54.5            1          29.5                        4.5
     54.0      2     2          29.0                        4.0
     53.5                       28.5                        3.5
     53.0      1                28.0                        3.0
     52.5            2          27.5                        2.5
     52.0                       27.0                        2.0
     51.5                       26.5                        1.5
     51.0                       26.0                        1.0
     50.5                       25.5                         .5
                                                            0.0      0     0



                   American Mathematics Competitions
                   2005 AMC 12 B Results for Rhode Island               
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   143.0                                                1
   119.5                                                1
   116.0                                  1
   112.0                                         1
   109.0                                                1
   106.5                                         1
   105.5                                         1      1
   105.0                                                1
   103.0                                         1
   102.0                                         1      3
   101.0                                                4             1
   100.5                                         1      2
    99.5                                         1      1
    98.5                                         2      3
    98.0                                                1
    97.0                                         1      1
    96.0                                         1
    95.5                                                1
    95.0                                         3      3
    94.5                                         1      1
    94.0                                                1
    93.0                                                1
    92.5                                  1      1      5
    92.0                                                2
    91.5                                         1      1
    91.0                                                4
    90.5                                         1
    90.0                                         3      6
    89.0                                         6      6             1
    88.5                                         1      1
    88.0                                         4      2
    87.5                                         1      2
    87.0                                         1      1
    86.5                                         5      3
    86.0                                                2
    85.5                                         5      3
    85.0                                                4
    84.5                                         3      2
    84.0                                         4      6
    83.5                                         3                    1
    83.0                                         1      4
    82.0                                         4      4
    81.5                                         3      4
    81.0                                         5      3
    80.5                                         2      2
    80.0                                         1      1
    79.5                                         2      2             1
    79.0                                         1      4
    78.5                                         5      2
    78.0                                                5
    77.5                                         1                    1
    77.0                                         7      6
    76.5                                         1      7
    75.5                                         1      3
    75.0                                         4
    74.5                                         5      5
    74.0                                         1      1
    73.5                                         1      3
    73.0                                                2
    72.5                                         1
    72.0                                         2      4
    71.5                                         1      1
    71.0                                         4      3
    70.5                                         5      1
    70.0                                         3      2
    69.5                                         3      2
    69.0                                                1
    68.5                                         1      1
    68.0                                         2
    67.5                                         4      1
    67.0                                         3      3
    66.5                                         3                    1
    66.0                                         2
    65.5                                         2      2
    65.0                                  1      2      3
    64.5                                         1      1
    64.0                                         2
    63.5                                         1
    63.0                                         2
    62.5                                         2      2
    62.0                                         2      1
    61.5                                         1      1
    61.0                                                2
    60.5                                                1
    60.0                                         1      2
    59.5                                         1      3
    59.0                                         1      1
    58.5                                         1      1
    57.0                                                1
    56.5                                         1
    56.0                                         1
    55.0                                                1
    54.5                                         1
    54.0                                         1      3
    53.0                                         1
    52.5                                         1      1
    48.0                                                1
    47.5                                         1
    42.5                                         1
    42.0                                                1
    41.0                                         1
    36.0                                                1             1
    35.0                                                1



                   American Mathematics Competitions
                   2005 AMC 12 B Results for Rhode Island               
                              Analysis      


                   Table of Item Difficulty for the 2005
              American High School Mathematics Examination
           Tabulation of responses for all Participants
                             Percent of Responses


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

      1    9.21*     0.23      0.23      0.03      0.25      0.06      0.00
      2    0.20      0.14      0.08      9.24*     0.11      0.23      0.00
      3    0.06      0.00      9.04*     0.20      0.51      0.20      0.00
      4    0.14      8.90*     0.11      0.17      0.28      0.39      0.00
      5    6.99*     0.08      1.18      0.06      0.03      1.66      0.00
      6    2.08*     1.30      0.62      0.56      0.34      5.10      0.00
      7    1.72      1.72      0.20      1.38*     0.48      4.51      0.00
      8    1.55      2.11      3.46*     0.11      0.93      1.83      0.00
      9    0.25      7.27*     0.54      0.39      0.39      1.15      0.00
     10    0.23      0.73      0.08      2.28      2.68*     4.00      0.00
     11    1.21      0.93      0.85      4.85*     0.48      1.69      0.00
     12    0.28      0.70      1.01      0.39*     0.06      7.55      0.00
     13    0.45      0.42      0.37      1.01*     0.17      7.58      0.00
     14    0.90      0.96      0.51      0.45      0.93*     6.25      0.00
     15    0.79      0.28      0.37      4.65*     0.62      3.30      0.00
     16    0.31      0.31      0.59      0.62*     0.31      7.86      0.00
     17    0.34      0.37*     0.25      0.23      0.73      8.08      0.00
     18    1.80      0.42      0.54*     0.34      0.34      6.56      0.00
     19    0.28      0.25      0.28      0.25      2.23*     6.70      0.00
     20    0.25      0.34      3.58*     1.01      2.28      2.54      0.00
     21    0.34      0.25      0.56*     0.37      0.20      8.28      0.00
     22    0.54      0.82      0.03      0.28      0.08*     8.25      0.00
     23    0.11      0.20*     0.17      0.08      0.08      9.35      0.00
     24    0.51*     0.42      0.45      0.11      0.28      8.23      0.00
     25    0.65*     0.28      0.20      0.17      0.54      8.17      0.00


   (*)  Correct Response

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