```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%)

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%)

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%)

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%)

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. ```