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 

    89 students took test 1 

    Multiple Choice

        62 students earned 35 or more points

           for those 62 the average was 46.1 (76.8%)

    Problems

        66 students earned 40 or more points

           for those 66 the average was 52.6 (80.9%) 


2nd test

    88 students took test 2

    Multiple Choice

        67 students earned 35 or more points

           for those 67 the average was 45.7 (76.2%)

    Problems

        65 students earned 34 or more points

           for those 65 the average was 52.9 (81.3%)


3rd test

    82 students took test 3

    Multiple Choice

        63 students earned 30 or more points

           for those 63 the average was 41.4 (69.0%)

    Problems

        54 students earned 31 or more points

           for those 54 the average was 46.0 (70.8%)



4th test

    78 students took test 4

    Multiple Choice

        58 students earned 30 or more points

           for those 58 the average was 43.6 (72.7%)

    Problems

        53 students earned 25 or more points

           for those 53 the average was 43.5 (67.0%)


Overall averages 

        78 students took all four tests

           for these 78 students 

             the final HW average is 21.0  points (84.0% of 25)

           the final test average is 53.8  points (71.7% of 75)

          and the overall average is 74.8  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.  Since the overall average is below 75 there
is a (slight) curve.  The final grade scale is


                     59.0  -  68.7     D
                     68.8  -  79.0     C
                     79.1  -  89.0     B

with below 59.0 as E and above 89.0 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 58.0, the lowest D is 60.2, the
the highest D is 67.5, the lowest C is 68.8, the highest C is 
78.5, the lowest B is 80.4, the highest B is 87.6, and the lowest
A is 89.6.  The smallest gap is 1.3 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 Tuesday 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 78 students:

You can also view the grades as a text file: