```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. GBA

1st test

92 students took test 1

Multiple Choice

70 students earned 30 or more points

for those 70 the average was 41.3 (68.8%)

Problems

71 students earned 41 or more points

for those 71 the average was 53.8 (82.8%)

2nd test

85 students took test 2

Multiple Choice

66 students earned 30 or more points

for those 66 the average was 42.1 (70.2%)

Problems

63 students earned 35 or more points

for those 63 the average was 45.0 (69.2%)

3rd test

82 students took test 3

Multiple Choice

58 students earned 30 or more points

for those 58 the average was 37.3 (62.2%)

Problems

62 students earned 31 or more points

for those 62 the average was 45.6 (70.2%)

4th test

80 students took test 4

Multiple Choice

64 students earned 25 or more points

for those 64 the average was 35.9 (59.8%)

Problems

59 students earned 18 or more points

for those 59 the average was 33.2 (51.1%)

Overall averages

78 students took all four tests

for these 78 students

the final HW average is 21.0  points (83.9% of 25)

the final test average is 49.7  points (66.3% of 75)

and the overall average is 70.7  points

Note that the overall average includes all students who took
four tests.  The test average is computed by dropping the
two lowest test 'halves' for each student, computing each
student's average, and then computing a global average for
all 78 students.  With this final average, the final grade
scale is

55.7  -  65.4     D
65.5  -  75.6     C
75.7  -  84.9     B

with below 55.7 as E and above 84.9 as A.  The final scale was
selected so as to find gaps in the distribution.  With the scale
as given above the highest E is 54.0, the lowest D is 57.1, the
the highest D is 64.1, the lowest C is 65.5, the highest C is
75.0, the lowest B is 77.2, the highest B is 83.8, and the lowest
A is 85.0.  The smallest gap is 1.2 points.  Grades were assigned
strictly based on this scale.

If you find a significant error the best time to see me is
between 11 and 12 AM Friday June 30 or Monday July 3.  After that
time any change of grade requires a change of grade form.  For

Here is the grade distribution for those 78 students:
```
```You can also view the grades as a text file:
```