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  

     52 students took test 1 

    Multiple Choice

        37 students earned 25 or more points

           for those 37 the average was 41.9 (69.8%)

    Problems

        39 students earned 19 or more points

           for those 39 the average was 40.6 (62.5%)


    multiple choice grades      problem grades

2nd test 

     50 students took test 2

    Multiple Choice 

        36 students earned 30 or more points

           for those 36 the average was 42.6 (71.0%)

    Problems

        38 students earned 24 or more points

           for those 38 the average was 45.7 (70.3%)


    multiple choice grades      problem grades

3rd test 

     49 students took test 3

    Multiple Choice

        35 students earned 30 or more points

           for those 35 the average was 44.4 (74.0%)

    Problems

        37 students earned 20 or more points

           for those 37 the average was 37.2 (57.2%)


    multiple choice grades      problem grades


4th test  

    42 students took test 4

    Multiple Choice

        27 students earned 25 or more points

           for those 27 the average was 35.7 (59.5%)

    Problems

        30 students earned 15 or more points

           for those 30 the average was 36.3 (55.8%)


    multiple choice grades      problem grades


Overall averages

        41 students took three or more tests (including
           the fourth test) and had at least 100 homework 
           points

           for these 41 students

            the final PRS average is  4.35 points (out of 5)

             the final HW average is  7.02 points (out of 8)

           the final quiz average is  6.09 points (out of 7)

           the final test average is 49.70 points (62.13% of 80)

              the overall average is 67.2  points  


Note that the overall average includes all students who took
three or more tests (including the fourth test) and who had
at least 100 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 41 students.  We figured the final grade scale based on 
a weighted average from the Summer 2002-2007 classes; this 
weighted average was 63.5 and was taken as the approximate 
middle C for the following grade scale:

            44.3  -  54.5     D
            54.6  -  66.9     C   (above 64.6 is C+)
            67.0  -  80.5     B   (below 73.0 is B-, above 78.2 is B+)
            80.6 and up       A   (below 83.9 is A-, above 91.9 is A+)

with below 44.3 as E.  The final scale was selected so as to 
find gaps in this year's distribution.  With the scale as given 
above the highest E is 41.8, the lowest D is 44.3, the the 
highest D is 52.6, the lowest C is 54.6, the highest C is 65.4, 
the lowest B is 67.0, the highest B is 78.2, and the lowest A 
is 80.6.  The smallest gap is 1.6 points between C and B.  
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 41 students:

You may also view the grades as a text file: 131 grades

You may also compare with Summer 2006 Averages

Thanks again for a great summer class.  GBA