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 

    92 students took test 1 

    Multiple Choice

        70 students earned 30 or more points

           for those 70 the average was 41.3 (68.8%)


        71 students earned 41 or more points

           for those 71 the average was 53.8 (82.8%) 

2nd test

    85 students took test 2

    Multiple Choice

        66 students earned 30 or more points

           for those 66 the average was 42.1 (70.2%)


        63 students earned 35 or more points

           for those 63 the average was 45.0 (69.2%)

3rd test

    82 students took test 3

    Multiple Choice

        58 students earned 30 or more points

           for those 58 the average was 37.3 (62.2%)


        62 students earned 31 or more points

           for those 62 the average was 45.6 (70.2%)

4th test

    80 students took test 4

    Multiple Choice

        64 students earned 25 or more points

           for those 64 the average was 35.9 (59.8%)


        59 students earned 18 or more points

           for those 59 the average was 33.2 (51.1%)

Overall averages

        78 students took all four tests

           for these 78 students

             the final HW average is 21.0  points (83.9% of 25)

           the final test average is 49.7  points (66.3% of 75)

          and the overall average is 70.7  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 78 students.  With this final average, the final grade 
scale is

                     55.7  -  65.4     D
                     65.5  -  75.6     C
                     75.7  -  84.9     B

with below 55.7 as E and above 84.9 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 54.0, the lowest D is 57.1, the
the highest D is 64.1, the lowest C is 65.5, the highest C is
75.0, the lowest B is 77.2, the highest B is 83.8, and the lowest
A is 85.0.  The smallest gap is 1.2 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 11 and 12 AM Friday June 30 or Monday July 3.  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 78 students:
You can also view the grades as a text file:
121 grades