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.  These posted averages are not
       used in any way in calculating the final class
       average. GBA

1st test  

     93 students took test 1 

    Multiple Choice

        78 students earned 25 or more points

           for those 78 the average was 38.1 (63.5%)

    Problems

        72 students earned 24 or more points

           for those 72 the average was 36.7 (56.5%)


    multiple choice grades      problem grades


2nd test 

     90 students took test 2

    Multiple Choice 

        66 students earned 30 or more points

           for those 66 the average was 40.8 (68.0%)

    Problems

        67 students earned 28 or more points

           for those 67 the average was 43.3 (66.6%)


    multiple choice grades      problem grades


3rd test  

     89 students took test 3

    Multiple Choice

        72 students earned 25 or more points

           for those 72 the average was 36.9 (61.5%)

    Problems

        67 students earned 24 or more points

           for those 67 the average was 38.1 (58.6%)


    multiple choice grades      problem grades


4th test  

    87 students took test 4

    Multiple Choice

        74 students earned 25 or more points

           for those 74 the average was 38.9 (64.8%)

    Problems

        51 students earned 21 or more points

           for those 51 the average was 34.7 (53.4%)


    multiple choice grades      problem grades


Overall averages

        81 students took three or more tests and 
           had at least 90 homework points

           for these 81 students

             the final HW average is  7.9  points 

           the final quiz average is  7.5  points 

           the final test average is 60.7% (48.6 points)

          and the overall average is 63.9  points


Note that the overall average includes all students who took
three or more tests (including the fourth test) and who had
at least 90 HW points.  The test average is computed by dropping 
the lowest MC section and the lowest problem section for each 
student (except one section of test 4 must be kept), computing 
each student's average, and then computing a global average 
for all 87 students.  With this final average, the final grade
scale is

                     44.5  -  55.9     D
                     56.0  -  66.3     C
                     66.4  -  76.9     B

with below 44.5 as E and above 76.9 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 42.5, the lowest D is 44.5, the
the highest D is 55.1, the lowest C is 56.0, the highest C is
65.4, the lowest B is 66.4, the highest B is 75.9, and the lowest
A is 77.0.  The smallest gap is 0.9 points between D and C.
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, please contact me or your TA.  
For information on how to figure your final grade see

            HOW TO FIGURE YOUR FINAL GRADE

Here is the grade distribution for those 81 students:
You can also view the grades as a text file: 131 grades

You may also compare with the Summer 2003 average.