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  

     60 students took test 1 

    Multiple Choice

        49 students earned 35 or more points

           for those 49 the average was 45.9 (76.5%)

    Problems

        46 students earned 22 or more points

           for those 46 the average was 43.5 (66.9%)


    multiple choice grades      problem grades

2nd test 

     56 students took test 2

    Multiple Choice 

        38 students earned 30 or more points

           for those 38 the average was 37.8 (63.0%)

    Problems

        42 students earned 22 or more points

           for those 42 the average was 45.7 (70.3%)


    multiple choice grades      problem grades

3rd test  

     50 students took test 3

    Multiple Choice

        40 students earned 30 or more points

           for those 40 the average was 41.8 (69.7%)

    Problems

        37 students earned 23 or more points

           for those 37 the average was 43.0 (66.2%)


    multiple choice grades      problem grades


4th test  

    46 students took test 4

    Multiple Choice

        38 students earned 25 or more points

           for those 38 the average was 37.6 (62.7%)

    Problems

        36 students earned 23 or more points

           for those 36 the average was 39.3 (60.5%)


    multiple choice grades      problem grades


Overall averages

        46 students took three or more tests (including
           the fourth test) and had at least 90 homework 
           points

           for these 46 students

            the final PRS average is  4.59 points (out of 5)

             the final HW average is  7.38 points (out of 8)

           the final quiz average is  5.84 points (out of 7)

           the final test average is 53.49 points (66.9% of 80)

          and the overall average is 71.3  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 46 students.  Because this final average was by far
the highest ever in one of my summer 131 classes, we figured
the final grade scale based on a weighted average from the 
Summer 2002-2006 classes; this weighted average was 63.1 and
was taken as the approximate middle C for the following grade 
scale:

            45.7  -  56.8     D
            56.9  -  72.7     C   (above 69.2 is C+)
            72.8  -  82.4     B   (no B-'s this year, above 80.3 is B+)
            82.5 and up       A   (no A-'s this year, above 90.4 is A+)

with below 45.7 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 37.7, the lowest D is 45.7, the the 
highest D is 54.8, the lowest C is 56.9, the highest C is 70.5, 
the lowest B is 72.8, the highest B is 80.4, and the lowest A 
is 82.5.  The smallest gap is 2.1 points between D and C and 
also 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, 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 46 students:

You can also view the grades as a text file: 131 grades You may also compare with Summer 2005 Averages Thanks again for a great summer class. GBA