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  

     51 students took test 1 

    Multiple Choice

        38 students earned 30 or more points

           for those 38 the average was 42.4 (70.7%)

    Problems

        33 students earned 26 or more points

           for those 33 the average was 38.2 (58.8%)

    multiple choice grades      problem grades

2nd test 

     49 students took test 2

    Multiple Choice 

        33 students earned 25 or more points

           for those 33 the average was 32.9 (54.8%)

    Problems

        33 students earned 17 or more points

           for those 31 the average was 33.4 (51.4%)


    multiple choice grades      problem grades

3rd test 

     48 students took test 3

    Multiple Choice

        35 students earned 25 or more points

           for those 35 the average was 34.2 (57.1%)

    Problems

        35 students earned 20 or more points

           for those 35 the average was 32.6 (50.2%)


    multiple choice grades      problem grades

4th test  

    45 students took test 4 MC
    40 students took test 4 Problems

    Multiple Choice

        23 students earned 20 or more points

           for those 23 the average was 28.0 (46.7%)

    Problems

        30 students earned 20 or more points

           for those 30 the average was 35.8 (55.1%)


    multiple choice grades      problem grades


Overall averages

        45 students took three or more tests (including
           the fourth test) and had at least 106 homework 
           points

           for these 45 students

             the final TP average is  4.16 points (83.3% of 5 points)

             the final HW average is 10.32 points (79.4% of 13 points)

           the final quiz average is  5.82 points (83.1% of 7 points)

           the final test average is 38.07 points (50.76% of 75 points)

              the overall average is 58.4  points  


Note that the overall average includes all students who took
three or more tests (including the fourth test) and who had
at least 106 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 45 students.  With this final average, the final grade
scale is 

           38.5  -  47.0     D
           47.1  -  56.9     C   (above 53.0 is C+)
           57.0  -  68.3     B   (below 59.6 is B-, above 65.8 is B+)
           68.4 and up       A   (below 70.2 is A-, above 81.1 is A+)

with below 38.5 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 32.4, the lowest D is 38.5, the highest D 
is 45.1, the lowest C is 47.2, the highest C is 54.8, the 
lowest B is 57.0, the highest B is 66.4, and the lowest A 
is 68.4.  The smallest gap is 2.0 points between B and A.  
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 SAT Aug 06.  For information on how
to figure your final grade see

            HOW TO FIGURE YOUR FINAL GRADE

Here is the grade distribution for those 45 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 great summer class.  GBA