NOTE:  In reporting the averages from the test we drop
       the lowest scores.  This is because 16.7% (1 out
       of 6) 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  

    40 students took test 1 

    Multiple Choice

        31 students earned 20 or more points

           for those 31 the average was 34.6 (57.7%)


        21 students earned 16 or more points

           for those 21 the average was 26.9 (44.8%)

    multiple choice grades      problem grades

2nd test

     39 students took test 2

    Multiple Choice 

        28 students earned 22 or more points

           for those 28 the average was 33.0 (55.0%)


        28 students earned 15 or more points

           for those 28 the average was 28.36 (47.3%)

    multiple choice grades      problem grades

3rd test

  Because one half of one test can be dropped, many
  students choose not to study as seriously for Test 3
  as they study for Tests 1 and 2.  As a result, we
  report the averages only for those students who keep
  the relevant half of Test 3.  GBA

     35 students took test 3

    Multiple Choice

        24 students did not drop Test 3 MC

           for those 24 the average was 25.0 (41.7%)


        29 students did not drop Test 3 Problems

           for those 29 the average was 24.5 (40.8%)

    multiple choice grades      problem grades

Overall averages

        35 students took three tests and had at least
           112 homework points

           for these 35 students

            the final CPS average is  4.26 points (out of 5)

             the final HW average is  6.77 points (out of 8)

           the final quiz average is  5.20 points (out of 7)

           the final test average is 35.30 points (44.12% of 80)

              the overall average is 51.5  points  

Note that the overall average includes all students who took
three tests and who had at least 112 HW points.  The test
average is computed by dropping the lowest MC or problem
section for each student, computing each student's average,
and then computing a global average for all 35 students.

With this final average, the final grade scale is 

           30.2  -  41.3     D
           41.3  -  51.6     C   (above 48.6 is C+)
           51.7  -  66.8     B   (below 55.6 is B-, above 64.0 is B+)
           66.9 and up       A   (below 69.7 is A-, above 88.2 is A+)

with below 30.2 as E.  The final scale was selected so as to
find gaps in the distribution.  With the scale as given above 
the highest E is 26.5, the lowest D is 30.2, the highest D 
is 37.7, the lowest C is 41.3, the highest C is 50.9, the 
lowest B is 51.7, the highest B is 64.1, and the lowest A 
is 66.9.  The smallest gap is 0.8 points between C and B.  
Grades were assigned strictly based on this scale.

If you find a significant error in the recording of your
grades, or in my computation of your final grade, please
contact me before 1 PM TUE Aug 10.  For information on how
to figure your final grade see


Here is the grade distribution for those 35 students:
You may also view the grades as a text file: 131 grades

You may also compare with Summer 2009 Averages

Thanks again for a good summer class.  GBA