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 

    77 students took test 1 

    Multiple Choice

        53 students earned 35 or more points

           for those 53 the average was 43.6 (72.7%)


        60 students earned 24 or more points

           for those 60 the average was 42.4 (65.2%) 

2nd test 

    76 students took test 2 

    Multiple Choice

        58 students earned 30 or more points

           for those 58 the average was 41.4 (69.0%)


        54 students earned 30 or more points

           for those 54 the average was 43.6 (67.1%) 

3rd test 

    69 students took test 3

    Multiple Choice

        46 students earned 30 or more points

           for those 46 the average was 40.7 (67.8%)


        51 students earned 21 or more points

           for those 51 the average was 40.1 (61.7%) 

4th test 

    67 students took test 4

    Multiple Choice

        52 students earned 25 or more points

           for those 52 the average was 35.7 (59.5%)


        43 students earned 20 or more points

           for those 43 the average was 36.4 (55.9%) 

Overall averages 

        67 students took all four tests

           for these 67 students 

             the final HW average is 20.7  points (82.9% of 25)

           the final test average is 47.0  points (62.6% of 75)

          and the overall average is 67.7  points

Note that the overall average includes all students who took
four tests.  The test average is computed by dropping the
two lowest test 'halves' for each student, computing each
student's average, and then computing a global average for
all 67 students.  With this overall average the final grade 
scale is

                     50.7  -  60.6     D
                     60.7  -  73.6     C
                     73.7  -  84.6     B

with below 50.7 as E and above 84.6 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 48.8, the lowest D is 50.7, the
the highest D is 59.9, the lowest C is 60.8, the highest C is 
69.8, the lowest B is 74.1, the highest B is 83.8, and the lowest
A is 85.1.  The smallest gap is 0.9 points.  Grades were assigned 
strictly based on this scale.

     Be sure to check your TA's computation of your final grade.
If you find a significant error the best time to see me is
between 10 and 11 AM Monday July 6.  After that time any
change of grade requires a change of grade form.  For 
information on how to figure your final grade see
Here is the grade distribution for those 67 students:
You can also view the grades as a text file:
121 grades