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 

    96 students took test 1 

    Multiple Choice (now corrected)

        73 students earned 25 or more points

           for those 73 the average was 38.9 (64.8%)

    Problems

        71 students earned 32 or more points

           for those 71 the average was 48.5 (74.6%)


    multiple choice grades      problem grades


2nd test

    91 students took test 2

    Multiple Choice 

        71 students earned 30 or more points

           for those 71 the average was 41.8 (69.7%)

    Problems

        69 students earned 27 or more points

           for those 69 the average was 41.9 (64.5%)


    multiple choice grades      problem grades


3rd test

    78 students took test 3

    Multiple Choice

        66 students earned 30 or more points

           for those 66 the average was 39.5 (65.8%)

    Problems

        59 students earned 31 or more points

           for those 59 the average was 43.3 (66.6%)


    multiple choice grades      problem grades


4th test

    78 students took test 4

    Multiple Choice

        60 students earned 35 or more points

           for those 60 the average was 45.1 (75.2%)

    Problems

        58 students earned 19 or more points

           for those 58 the average was 32.9 (50.6%)


    multiple choice grades      problem grades


Overall averages

        76 students took all four tests

           for these 76 students

             the final HW average is 22.6  points (90.4% of 25)

           the final test average is 50.1  points (66.8% of 75)

          and the overall average is 72.7  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 76 students.  With this final average, the final grade
scale is

                     56.2  -  66.1     D
                     66.2  -  78.5     C
                     78.6  -  88.5     B

with below 56.2 as E and above 88.6 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 55.2, the lowest D is 56.3, the
the highest D is 65.4, the lowest C is 66.2, the highest C is
76.3, the lowest B is 78.7, the highest B is 88.0, and the lowest
A is 88.6.  The smallest gap is 0.6 points between B and A.  
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 19 or Monday July 2.  After that
time any change of grade requires a change of grade form.  For
information on how to figure your final grade see

            HOW TO FIGURE YOUR FINAL GRADE

Here is the grade distribution for those 76 students:

You can also view the grades as a text file: