NOTE:  In reporting the averages from the test we drop
       the lowest scores.  This is because 25% (2 out
       of 8) of all scores will eventually be dropped.
       In comparing your average with the class average
       you need to compare with an average which is
       representative of the final average.  Dropping
       the lowest scores before reporting the average
       is one way of estimating the effect of the
       final drops. GBA

1st test 

    69 students took test 1 

    Multiple Choice

        60 students earned 25 or more points

           for those 60 the average was 41.4 (69%)

    Problems

        52 students earned 26 or more points

           for those 52 the average was 50.4 (77.5%) 

  
2nd test 

    68 students took test 2 

    Multiple Choice

        57 students earned 25 or more points

           for those 57 the average was 37.1 (61.9%)

    Problems

        59 students earned 26 or more points

           for those 59 the average was 45.9 (70.7%) 

3rd test  

    65 students took test 3

    Multiple Choice

        61 students earned 25 or more points

           for those 61 the average was 39.5 (65.8%)

    Problems

        46 students earned 26 or more points

           for those 46 the average was 44.7 (68.7%)


4th test  

    63 students took test 4

    Multiple Choice

        46 students earned 25 or more points

           for those 46 the average was 34.0 (56.7%)

    Problems

        44 students earned 26 or more points

           for those 44 the average was 40.7 (62.6%)



Overall averages 

        63 students took all four tests

           for these 63 students 

             the final HW average is  23.1 points (92.3% of 25)

           the final test average is  49.5 points (66% of 75)

          and the overall average is  72.6 points


        With this overall average the final grade scale is


                      55.6 - 66.1      D
                      66.1 - 76.6      C
                      76.6 - 87.1      B

with below 55.6 as E and above 87.1 as A.  The final scale was
selected so as to find gaps in the distribution.  With the scale
as given above the highest E is 54.9, the highest D is 65.3, 
the highest C is 75.3, and the highest B is 86.2.  The smallest
gap is 0.7 points.  Grades were assigned strictly based on this
scale.

Here is the grade distribution for those 63 students: