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                   American Mathematics Competitions
                   2005 AMC 10 A Results for South Dakota               
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     91

      Number of unofficial participants:          0

      Average score of participants:           68.2

      Average score for female students  is:   66.9  (    44 Students)
      Average score for male students is:      70.3  (    40 Students)
      Average score for unspecified gender is  64.4  (     7 Students)
      Average score for grade 10 is:           69.8  (    56 Students)
      Average score for grade 9 is:            67.3  (    27 Students)
      Average score for grade 8 and below is:  39.0  (     1 Student) 
      Average score with unknown grade:        63.0  (     7 Students)

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

        Number of schools returning results       6
        Average school winning score           90.75


                   American Mathematics Competitions
                   2005 AMC 12 A Results for South Dakota               
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:    207

      Number of unofficial participants:          0

      Average score of participants:           71.6

      Average score for female students  is:   70.3  (    92 Students)
      Average score for male students is:      73.0  (   104 Students)
      Average score for unspecified gender is  68.3  (    11 Students)
      Average score for grade 12 is:           73.9  (   116 Students)
      Average score for grade 11 is:           68.8  (    85 Students)
      Average score for grade 10 is:           64.2  (     3 Students)
      Average score with unknown grade:        65.5  (     3 Students)

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                  1

        Number of schools returning results       8
        Average school winning score           93.69
        Average school team score             267.50
 


                   American Mathematics Competitions
                   2005 AMC 10 B Results for South Dakota               
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:      6

      Number of unofficial participants:          0

      Average score of participants:           76.3

      Average score for female students  is:   76.3  (     6 Students)
      Average score for grade 10 is:           76.8  (     4 Students)
      Average score for grade 9 is:            75.5  (     2 Students)

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

        Number of schools returning results       2
        Average school winning score           87.50


                   American Mathematics Competitions
                   2005 AMC 12 B Results for South Dakota               
                          GRAND STATISTICS  

      TOTAL NUMBER of official students taking exam:     25

      Number of unofficial participants:          0

      Average score of participants:           75.0

      Average score for female students  is:   74.8  (    15 Students)
      Average score for male students is:      75.2  (    10 Students)
      Average score for grade 12 is:           78.2  (     9 Students)
      Average score for grade 11 is:           73.4  (    12 Students)
      Average score for grade 10 is:           80.5  (     3 Students)
      Average score for grade 9 is:            48.0  (     1 Student) 

        AIME qualifying score =  100.0 or better
        Number of AIME qualifers                  0

        Number of schools returning results       3
        Average school winning score           88.33
        Average school team score             219.00
 
 


    2005 State AMC 12  TEAM Score Distribution
    -----------------------------------------------
    score         A         B       Rank
    -----------------------------------------------
    295.5         1                   1
    286.0         1                   2
    273.5         1                   3
    268.5         1                   4
    265.0         1                   5
    261.5         1                   6
    256.5         1                   7
    251.0                   1         8
    243.5                   1         9
    233.5         1                  10
    162.5                   1        11


         2005 AMC Contest Score Distributions
    -----------------------------------------------
    score      12 A      12 B      10 A      10 B
    -----------------------------------------------
    112.0                             1
    104.5         1
     98.5         1                   1
     97.5         1
     96.0         1                   1
     95.0         5         1         1
     93.5                             1
     92.5         2                   2
     91.5         3
     91.0         1
     90.5                             1
     90.0         3                   1
     89.5                             1         1
     89.0         5                   1
     88.0         5                   1
     87.0         3         2
     85.5         5                   1         1
     85.0                             1
     84.5         4
     84.0         3
     83.5         1                   1
     83.0         4         2         2
     82.5         1
     82.0         4                   2
     81.0         4         1
     80.5         1         1         4
     80.0         1
     79.5         1         1
     79.0         1                   1
     78.5         4                   3         1
     78.0         2                   1
     77.5         4         3         2
     77.0         4         2         1
     76.0         1         2
     75.5         3
     75.0        11
     74.5         3                   1         1
     74.0         1
     73.5         1         2         1
     73.0         2                   3
     72.5         5         1         3
     72.0         3         1
     71.5         6
     71.0         8         1         1
     70.5         1
     70.0         3
     69.0         2                   4
     68.5         2         1         2
     68.0         4                   1
     67.5         3                   2
     67.0         1                   2
     66.5         2                   1
     66.0         2
     65.5         8         1         1         1
     65.0         8
     64.5                                       1
     64.0         3                   2
     63.5         1
     63.0         3
     62.5         3
     61.5         3         1
     61.0         1                   1
     60.5                             1
     60.0         2                   2
     59.5         1                   1
     59.0         2                   2
     58.5         1                   2
     58.0         1
     57.0         2                   2
     56.5         3                   1
     56.0         1
     55.5         2                   1
     55.0         1                   1
     54.5         1                   2
     54.0                   1         1
     53.0         1                   1
     52.5         1                   1
     52.0         3
     51.5         1                   2
     50.5                             3
     50.0                             2
     49.5                             1
     49.0                             1
     48.0         1         1
     47.0         1                   2
     46.0         1
     45.5         1
     44.5         1                   1
     44.0         1                   1
     43.0         2                   1
     42.0         2
     41.5         1                   1
     41.0         1
     40.5         1
     39.0                             1
     37.5                             1
     28.5         1
     18.0         1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for South Dakota               
                         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
    148.5                      123.5                       98.5            1
    148.0                      123.0                       98.0
    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
    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      2
    142.0                      117.0                       92.0
    141.5                      116.5                       91.5
    141.0                      116.0                       91.0
    140.5                      115.5                       90.5            1
    140.0                      115.0                       90.0      1
    139.5                      114.5                       89.5            1
    139.0                      114.0                       89.0            1
    138.5                      113.5                       88.5
    138.0                      113.0                       88.0            1
    137.5                      112.5                       87.5
    137.0                      112.0            1          87.0
    136.5                      111.5                       86.5
    136.0                      111.0                       86.0
    135.5                      110.5                       85.5
    135.0                      110.0                       85.0      1
    134.5                      109.5                       84.5
    134.0                      109.0                       84.0
    133.5                      108.5                       83.5      1
    133.0                      108.0                       83.0      1     1
    132.5                      107.5                       82.5
    132.0                      107.0                       82.0            2
    131.5                      106.5                       81.5
    131.0                      106.0                       81.0
    130.5                      105.5                       80.5      2     1
    130.0                      105.0                       80.0
    129.5                      104.5                       79.5
    129.0                      104.0                       79.0      1
    128.5                      103.5                       78.5      3
    128.0                      103.0                       78.0
    127.5                      102.5                       77.5      1     1
    127.0                      102.0                       77.0      1
    126.5                      101.5                       76.5
    126.0                      101.0                       76.0
    125.5                      100.5                       75.5



                   American Mathematics Competitions
                   2005 AMC 10 A Results for South Dakota               
                         SCORE DISTRIBUTION 

                               GENDER       

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



                   American Mathematics Competitions
                   2005 AMC 10 A Results for South Dakota               
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
   112.0                                  1
    98.5                                  1
    96.0                                  1
    95.0                                  1
    93.5                                  1
    92.5                           1      1
    90.5                                  1
    90.0                           1
    89.5                                  1
    89.0                                  1
    88.0                                  1
    85.5                           1
    85.0                                  1
    83.5                                  1
    83.0                           1      1
    82.0                                  2
    80.5                                  3      1
    79.0                           1
    78.5                           2      1
    78.0                                         1
    77.5                                  2
    77.0                                  1
    74.5                           1
    73.5                           1
    73.0                           2      1
    72.5                           1      2
    71.0                                  1
    69.0                           1      3
    68.5                           1      1
    68.0                                  1
    67.5                           2
    67.0                                  2
    66.5                                         1
    65.5                                  1
    64.0                                  2
    61.0                                  1
    60.5                           1
    60.0                                  1      1
    59.5                                  1
    59.0                           1             1
    58.5                           1      1
    57.0                                  2
    56.5                                  1
    55.5                           1
    55.0                           1
    54.5                           1      1
    54.0                                  1
    53.0                                  1
    52.5                           1
    51.5                           1      1
    50.5                           1      2
    50.0                           1             1
    49.5                                  1
    49.0                                  1
    47.0                                  1      1
    44.5                                  1
    44.0                                  1
    43.0                           1
    41.5                                  1
    39.0      1
    37.5                                  1



                   American Mathematics Competitions
                   2005 AMC 10 A Results for South Dakota               
                              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    0.55      0.11      0.11      8.46*     0.33      0.44      0.00
      2    0.00      0.22      3.30*     0.11      2.31      4.07      0.00
      3    0.00      9.34*     0.22      0.22      0.00      0.22      0.00
      4    0.33      0.44*     3.30      0.66      0.33      4.95      0.00
      5    3.96*     0.11      5.27      0.11      0.33      0.22      0.00
      6    0.22      3.85*     3.30      0.22      0.33      2.09      0.00
      7    0.33      3.74*     0.77      0.44      1.10      3.63      0.00
      8    1.87      0.33      3.08*     0.44      0.00      4.29      0.00
      9    0.77      5.16*     0.99      0.22      0.66      2.20      0.00
     10    1.32*     0.33      0.55      0.55      0.11      7.14      0.00
     11    0.99      1.43*     0.33      0.66      0.00      6.59      0.00
     12    0.22      0.44*     0.66      0.11      0.22      8.35      0.00
     13    1.43      0.99      0.44      0.22      0.99*     5.93      0.00
     14    0.88      0.44      0.33      0.88      1.32*     6.15      0.00
     15    0.33      0.44      0.33      0.55      1.21*     7.14      0.00
     16    0.55      0.44      0.55      1.76*     0.00      6.70      0.00
     17    0.22      0.11      0.33      1.87*     0.77      6.70      0.00
     18    1.54*     1.43      2.20      2.53      0.22      2.09      0.00
     19    0.44      0.22      0.88      2.42*     0.88      5.16      0.00
     20    0.11*     0.11      0.44      0.55      0.11      8.68      0.00
     21    1.98      0.55*     0.11      0.22      0.44      6.70      0.00
     22    1.10      0.22      0.44      1.65*     0.44      6.15      0.00
     23    0.22      0.33      0.99*     1.10      0.88      6.48      0.00
     24    0.99      0.66*     0.33      0.00      0.11      7.91      0.00
     25    0.11      0.66      0.66      0.88*     0.00      7.69      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 A Results for South Dakota               
                         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
    148.5                      123.5                       98.5      1
    148.0                      123.0                       98.0
    147.5                      122.5                       97.5      1
    147.0                      122.0                       97.0
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0
    145.5                      120.5                       95.5
    145.0                      120.0                       95.0      3     2
    144.5                      119.5                       94.5
    144.0                      119.0                       94.0
    143.5                      118.5                       93.5
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5      1     1
    142.0                      117.0                       92.0
    141.5                      116.5                       91.5      2     1
    141.0                      116.0                       91.0      1
    140.5                      115.5                       90.5
    140.0                      115.0                       90.0      2     1
    139.5                      114.5                       89.5
    139.0                      114.0                       89.0      2     3
    138.5                      113.5                       88.5
    138.0                      113.0                       88.0      4     1
    137.5                      112.5                       87.5
    137.0                      112.0                       87.0            3
    136.5                      111.5                       86.5
    136.0                      111.0                       86.0
    135.5                      110.5                       85.5      4     1
    135.0                      110.0                       85.0
    134.5                      109.5                       84.5      2     1
    134.0                      109.0                       84.0      1     2
    133.5                      108.5                       83.5      1
    133.0                      108.0                       83.0      3     1
    132.5                      107.5                       82.5            1
    132.0                      107.0                       82.0      3     1
    131.5                      106.5                       81.5
    131.0                      106.0                       81.0      2     2
    130.5                      105.5                       80.5            1
    130.0                      105.0                       80.0            1
    129.5                      104.5      1                79.5      1
    129.0                      104.0                       79.0            1
    128.5                      103.5                       78.5      4
    128.0                      103.0                       78.0      2
    127.5                      102.5                       77.5      3     1
    127.0                      102.0                       77.0      2     2
    126.5                      101.5                       76.5
    126.0                      101.0                       76.0            1
    125.5                      100.5                       75.5      2     1



                   American Mathematics Competitions
                   2005 AMC 12 A Results for South Dakota               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0      6     5          50.0                       25.0
     74.5      2     1          49.5                       24.5
     74.0            1          49.0                       24.0
     73.5            1          48.5                       23.5
     73.0      1     1          48.0            1          23.0
     72.5      2     3          47.5                       22.5
     72.0      1     1          47.0      1                22.0
     71.5      2     4          46.5                       21.5
     71.0      6     2          46.0      1                21.0
     70.5            1          45.5      1                20.5
     70.0            2          45.0                       20.0
     69.5                       44.5      1                19.5
     69.0      2                44.0      1                19.0
     68.5      1     1          43.5                       18.5
     68.0      2     2          43.0      2                18.0            1
     67.5      1     1          42.5                       17.5
     67.0            1          42.0      1     1          17.0
     66.5            2          41.5      1                16.5
     66.0      1     1          41.0      1                16.0
     65.5      3     5          40.5      1                15.5
     65.0      5     2          40.0                       15.0
     64.5                       39.5                       14.5
     64.0      1     2          39.0                       14.0
     63.5            1          38.5                       13.5
     63.0            3          38.0                       13.0
     62.5      1                37.5                       12.5
     62.0                       37.0                       12.0
     61.5      1     2          36.5                       11.5
     61.0            1          36.0                       11.0
     60.5                       35.5                       10.5
     60.0            1          35.0                       10.0
     59.5      1                34.5                        9.5
     59.0            2          34.0                        9.0
     58.5      1                33.5                        8.5
     58.0            1          33.0                        8.0
     57.5                       32.5                        7.5
     57.0            2          32.0                        7.0
     56.5      2     1          31.5                        6.5
     56.0                       31.0                        6.0
     55.5            1          30.5                        5.5
     55.0            1          30.0                        5.0
     54.5      1                29.5                        4.5
     54.0                       29.0                        4.0
     53.5                       28.5            1           3.5
     53.0            1          28.0                        3.0
     52.5            1          27.5                        2.5
     52.0      1     2          27.0                        2.0
     51.5      1                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 South Dakota               
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
   104.5                                                1
    98.5                                                1
    97.5                                         1
    96.0                                                1
    95.0                                         1      4
    92.5                                                2
    91.5                                                3
    91.0                                         1
    90.0                                                3
    89.0                                         2      3
    88.0                                         1      4
    87.0                                         2      1
    85.5                                         2      3
    84.5                                         2      2
    84.0                                         1      2
    83.5                                         1
    83.0                                         2      2
    82.5                                         1
    82.0                                         1      3
    81.0                                         2      2
    80.5                                         1
    80.0                                                1
    79.5                                                1
    79.0                                                1
    78.5                                                4
    78.0                                         1      1
    77.5                                         2      2
    77.0                                         3      1
    76.0                                                1
    75.5                                         1      2
    75.0                                         3      8
    74.5                                         1      2
    74.0                                                1
    73.5                                                1
    73.0                                         1      1
    72.5                                         2      3
    72.0                                         1      2
    71.5                                         3      2             1
    71.0                                         2      6
    70.5                                         1
    70.0                                         2      1
    69.0                                                2
    68.5                                                2
    68.0                                         3      1
    67.5                                         1      2
    67.0                                                1
    66.5                                                2
    66.0                                  1             1
    65.5                                         6      2
    65.0                                  1      3      4
    64.0                                         1      2
    63.5                                         1
    63.0                                         1      2
    62.5                                         1                    2
    61.5                                  1      1      1
    61.0                                                1
    60.0                                         1      1
    59.5                                         1
    59.0                                         1      1
    58.5                                         1
    58.0                                         1
    57.0                                         1      1
    56.5                                         2      1
    56.0                                                1
    55.5                                         2
    55.0                                         1
    54.5                                         1
    53.0                                         1
    52.5                                         1
    52.0                                         1      2
    51.5                                         1
    48.0                                                1
    47.0                                                1
    46.0                                                1
    45.5                                                1
    44.5                                                1
    44.0                                         1
    43.0                                         2
    42.0                                         2
    41.5                                                1
    41.0                                         1
    40.5                                                1
    28.5                                         1
    18.0                                                1



                   American Mathematics Competitions
                   2005 AMC 12 A Results for South Dakota               
                              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      0.05      0.05      9.52*     0.14      0.24      0.00
      2    0.00      9.13*     0.29      0.34      0.05      0.19      0.00
      3    0.34      2.56*     1.84      0.43      0.34      4.49      0.00
      4    5.60*     0.19      3.86      0.05      0.00      0.29      0.00
      5    0.24      5.07*     3.09      0.24      0.05      1.30      0.00
      6    0.53      4.01*     0.14      0.48      0.63      4.20      0.00
      7    0.72      0.29      5.65*     0.05      0.14      3.14      0.00
      8    0.24      0.43      0.34      0.92*     0.24      7.83      0.00
      9    1.98*     0.43      0.58      0.19      0.34      6.47      0.00
     10    0.53      1.79*     0.00      0.39      0.10      7.20      0.00
     11    0.92      0.43      0.29      0.48      2.03*     5.85      0.00
     12    0.77      0.19      0.24      2.46*     1.11      5.22      0.00
     13    0.29      0.24      0.24      1.45*     0.10      7.68      0.00
     14    0.29      0.43      3.19      0.63*     0.58      4.88      0.00
     15    0.14      0.34      0.97*     1.16      0.68      6.71      0.00
     16    0.39      0.43      0.63      0.48*     0.39      7.68      0.00
     17    1.35*     1.26      1.06      0.24      0.39      5.70      0.00
     18    0.00*     0.43      0.29      0.14      0.14      8.99      0.00
     19    1.11      1.55*     0.82      0.63      0.87      5.02      0.00
     20    0.14      0.24      0.24      0.10      0.19*     9.08      0.00
     21    0.24      0.39      0.14*     0.39      0.00      8.84      0.00
     22    0.48      0.24*     0.19      0.14      0.29      8.65      0.00
     23    0.72      0.39*     0.24      0.19      0.24      8.21      0.00
     24    0.05      0.14*     0.24      0.29      0.10      9.18      0.00
     25    0.24      0.39      0.19*     0.05      0.14      8.99      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 South Dakota               
                         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
    148.5                      123.5                       98.5
    148.0                      123.0                       98.0
    147.5                      122.5                       97.5
    147.0                      122.0                       97.0
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0
    145.5                      120.5                       95.5
    145.0                      120.0                       95.0
    144.5                      119.5                       94.5
    144.0                      119.0                       94.0
    143.5                      118.5                       93.5
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5
    142.0                      117.0                       92.0
    141.5                      116.5                       91.5
    141.0                      116.0                       91.0
    140.5                      115.5                       90.5
    140.0                      115.0                       90.0
    139.5                      114.5                       89.5            1
    139.0                      114.0                       89.0
    138.5                      113.5                       88.5
    138.0                      113.0                       88.0
    137.5                      112.5                       87.5
    137.0                      112.0                       87.0
    136.5                      111.5                       86.5
    136.0                      111.0                       86.0
    135.5                      110.5                       85.5            1
    135.0                      110.0                       85.0
    134.5                      109.5                       84.5
    134.0                      109.0                       84.0
    133.5                      108.5                       83.5
    133.0                      108.0                       83.0
    132.5                      107.5                       82.5
    132.0                      107.0                       82.0
    131.5                      106.5                       81.5
    131.0                      106.0                       81.0
    130.5                      105.5                       80.5
    130.0                      105.0                       80.0
    129.5                      104.5                       79.5
    129.0                      104.0                       79.0
    128.5                      103.5                       78.5            1
    128.0                      103.0                       78.0
    127.5                      102.5                       77.5
    127.0                      102.0                       77.0
    126.5                      101.5                       76.5
    126.0                      101.0                       76.0
    125.5                      100.5                       75.5



                   American Mathematics Competitions
                   2005 AMC 10 B Results for South Dakota               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0                       50.0                       25.0
     74.5            1          49.5                       24.5
     74.0                       49.0                       24.0
     73.5                       48.5                       23.5
     73.0                       48.0                       23.0
     72.5                       47.5                       22.5
     72.0                       47.0                       22.0
     71.5                       46.5                       21.5
     71.0                       46.0                       21.0
     70.5                       45.5                       20.5
     70.0                       45.0                       20.0
     69.5                       44.5                       19.5
     69.0                       44.0                       19.0
     68.5                       43.5                       18.5
     68.0                       43.0                       18.0
     67.5                       42.5                       17.5
     67.0                       42.0                       17.0
     66.5                       41.5                       16.5
     66.0                       41.0                       16.0
     65.5            1          40.5                       15.5
     65.0                       40.0                       15.0
     64.5            1          39.5                       14.5
     64.0                       39.0                       14.0
     63.5                       38.5                       13.5
     63.0                       38.0                       13.0
     62.5                       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                       35.0                       10.0
     59.5                       34.5                        9.5
     59.0                       34.0                        9.0
     58.5                       33.5                        8.5
     58.0                       33.0                        8.0
     57.5                       32.5                        7.5
     57.0                       32.0                        7.0
     56.5                       31.5                        6.5
     56.0                       31.0                        6.0
     55.5                       30.5                        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                       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 B Results for South Dakota               
                         SCORE DISTRIBUTION 

    score          -----------grade-----------
             6      7      8      9     10    unknown
                   ---------------------------
    89.5                                  1
    85.5                           1
    78.5                                  1
    74.5                                  1
    65.5                           1
    64.5                                  1



                   American Mathematics Competitions
                   2005 AMC 10 B Results for South Dakota               
                              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   10.00*     0.00      0.00      0.00      0.00      0.00      0.00
      2    0.00      0.00      0.00      8.33*     0.00      1.67      0.00
      3    0.00      0.00      1.67      3.33*     5.00      0.00      0.00
      4    0.00      0.00      1.67      3.33*     0.00      5.00      0.00
      5    0.00      0.00     10.00*     0.00      0.00      0.00      0.00
      6    0.00     10.00*     0.00      0.00      0.00      0.00      0.00
      7    0.00      3.33*     1.67      3.33      0.00      1.67      0.00
      8    6.67*     0.00      1.67      0.00      0.00      1.67      0.00
      9    0.00      1.67      1.67      3.33*     0.00      3.33      0.00
     10    1.67*     0.00      1.67      3.33      0.00      3.33      0.00
     11    0.00      0.00      0.00      1.67      3.33*     5.00      0.00
     12    0.00      3.33      0.00      0.00      0.00*     6.67      0.00
     13    0.00      0.00      1.67*     3.33      0.00      5.00      0.00
     14    0.00      0.00      0.00*     3.33      1.67      5.00      0.00
     15    0.00      0.00      1.67      5.00*     1.67      1.67      0.00
     16    1.67      0.00      1.67      0.00*     0.00      6.67      0.00
     17    0.00      0.00*     0.00      1.67      0.00      8.33      0.00
     18    1.67      5.00      3.33      0.00*     0.00      0.00      0.00
     19    0.00      8.33*     1.67      0.00      0.00      0.00      0.00
     20    1.67      0.00      3.33*     0.00      0.00      5.00      0.00
     21    0.00*     0.00      0.00      0.00      0.00     10.00      0.00
     22    0.00      0.00      0.00*     0.00      0.00     10.00      0.00
     23    3.33      3.33      0.00*     1.67      0.00      1.67      0.00
     24    0.00      1.67      0.00      0.00      0.00*     8.33      0.00
     25    0.00      0.00      6.67*     0.00      0.00      3.33      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 South Dakota               
                         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
    148.5                      123.5                       98.5
    148.0                      123.0                       98.0
    147.5                      122.5                       97.5
    147.0                      122.0                       97.0
    146.5                      121.5                       96.5
    146.0                      121.0                       96.0
    145.5                      120.5                       95.5
    145.0                      120.0                       95.0      1
    144.5                      119.5                       94.5
    144.0                      119.0                       94.0
    143.5                      118.5                       93.5
    143.0                      118.0                       93.0
    142.5                      117.5                       92.5
    142.0                      117.0                       92.0
    141.5                      116.5                       91.5
    141.0                      116.0                       91.0
    140.5                      115.5                       90.5
    140.0                      115.0                       90.0
    139.5                      114.5                       89.5
    139.0                      114.0                       89.0
    138.5                      113.5                       88.5
    138.0                      113.0                       88.0
    137.5                      112.5                       87.5
    137.0                      112.0                       87.0      2
    136.5                      111.5                       86.5
    136.0                      111.0                       86.0
    135.5                      110.5                       85.5
    135.0                      110.0                       85.0
    134.5                      109.5                       84.5
    134.0                      109.0                       84.0
    133.5                      108.5                       83.5
    133.0                      108.0                       83.0            2
    132.5                      107.5                       82.5
    132.0                      107.0                       82.0
    131.5                      106.5                       81.5
    131.0                      106.0                       81.0            1
    130.5                      105.5                       80.5      1
    130.0                      105.0                       80.0
    129.5                      104.5                       79.5      1
    129.0                      104.0                       79.0
    128.5                      103.5                       78.5
    128.0                      103.0                       78.0
    127.5                      102.5                       77.5            3
    127.0                      102.0                       77.0            2
    126.5                      101.5                       76.5
    126.0                      101.0                       76.0      1     1
    125.5                      100.5                       75.5



                   American Mathematics Competitions
                   2005 AMC 12 B Results for South Dakota               
                         SCORE DISTRIBUTION 

                               GENDER       

    Score    # Students        Score    # Students        Score    # Students
            male  female               male  female               male  female
     75.0                       50.0                       25.0
     74.5                       49.5                       24.5
     74.0                       49.0                       24.0
     73.5            2          48.5                       23.5
     73.0                       48.0      1                23.0
     72.5            1          47.5                       22.5
     72.0      1                47.0                       22.0
     71.5                       46.5                       21.5
     71.0            1          46.0                       21.0
     70.5                       45.5                       20.5
     70.0                       45.0                       20.0
     69.5                       44.5                       19.5
     69.0                       44.0                       19.0
     68.5            1          43.5                       18.5
     68.0                       43.0                       18.0
     67.5                       42.5                       17.5
     67.0                       42.0                       17.0
     66.5                       41.5                       16.5
     66.0                       41.0                       16.0
     65.5      1                40.5                       15.5
     65.0                       40.0                       15.0
     64.5                       39.5                       14.5
     64.0                       39.0                       14.0
     63.5                       38.5                       13.5
     63.0                       38.0                       13.0
     62.5                       37.5                       12.5
     62.0                       37.0                       12.0
     61.5      1                36.5                       11.5
     61.0                       36.0                       11.0
     60.5                       35.5                       10.5
     60.0                       35.0                       10.0
     59.5                       34.5                        9.5
     59.0                       34.0                        9.0
     58.5                       33.5                        8.5
     58.0                       33.0                        8.0
     57.5                       32.5                        7.5
     57.0                       32.0                        7.0
     56.5                       31.5                        6.5
     56.0                       31.0                        6.0
     55.5                       30.5                        5.5
     55.0                       30.0                        5.0
     54.5                       29.5                        4.5
     54.0            1          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 B Results for South Dakota               
                         SCORE DISTRIBUTION 

    score                  -----------grade-----------
             6      7      8      9     10     11     12     13  unknown
                           ---------------------------
    95.0                                                1
    87.0                                         1      1
    83.0                                  1      1
    81.0                                  1
    80.5                                                1
    79.5                                         1
    77.5                                  1      1      1
    77.0                                                2
    76.0                                         1      1
    73.5                                         2
    72.5                                                1
    72.0                                         1
    71.0                                         1
    68.5                                         1
    65.5                                         1
    61.5                                                1
    54.0                                         1
    48.0                           1



                   American Mathematics Competitions
                   2005 AMC 12 B Results for South Dakota               
                              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    9.20*     0.00      0.40      0.40      0.00      0.00      0.00
      2    0.40      0.00      0.00      8.40*     0.00      1.20      0.00
      3    0.00      0.40      9.20*     0.00      0.00      0.40      0.00
      4    0.00      9.20*     0.40      0.00      0.00      0.40      0.00
      5    5.20*     1.20      0.80      0.00      0.00      2.80      0.00
      6    1.20*     2.00      0.40      0.00      0.80      5.60      0.00
      7    0.00      0.00      0.80      2.00*     0.40      6.80      0.00
      8    0.00      1.60      1.60*     0.00      2.80      4.00      0.00
      9    1.20      5.60*     0.00      0.80      0.40      2.00      0.00
     10    0.00      0.80      0.40      2.80      2.00*     4.00      0.00
     11    1.60      0.80      0.40      3.60*     0.40      3.20      0.00
     12    0.40      0.40      2.00      0.40*     0.00      6.80      0.00
     13    0.00      1.60      0.00      0.80*     0.40      7.20      0.00
     14    0.00      0.80      1.20      0.00      1.20*     6.80      0.00
     15    0.00      0.00      0.40      4.80*     0.80      4.00      0.00
     16    0.00      0.00      0.80      0.40*     0.40      8.40      0.00
     17    0.40      0.00*     0.00      0.80      0.80      8.00      0.00
     18    0.40      0.40      0.80*     0.00      0.40      8.00      0.00
     19    0.00      0.80      0.00      0.40      0.00*     8.80      0.00
     20    0.00      0.80      2.00*     1.20      2.00      4.00      0.00
     21    0.00      0.40      0.40*     0.80      0.00      8.40      0.00
     22    1.20      0.00      0.00      0.40      0.00*     8.40      0.00
     23    0.00      0.00*     0.40      0.00      0.40      9.20      0.00
     24    0.00*     0.80      0.40      0.00      0.40      8.40      0.00
     25    0.80*     0.40      0.00      0.40      0.40      8.00      0.00


   (*)  Correct Response

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