```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

69 students took test 1

Multiple Choice

60 students earned 25 or more points

for those 60 the average was 41.4 (69%)

Problems

52 students earned 26 or more points

for those 52 the average was 50.4 (77.5%)

2nd test

68 students took test 2

Multiple Choice

57 students earned 25 or more points

for those 57 the average was 37.1 (61.9%)

Problems

59 students earned 26 or more points

for those 59 the average was 45.9 (70.7%)

3rd test

65 students took test 3

Multiple Choice

61 students earned 25 or more points

for those 61 the average was 39.5 (65.8%)

Problems

46 students earned 26 or more points

for those 46 the average was 44.7 (68.7%)

4th test

63 students took test 4

Multiple Choice

46 students earned 25 or more points

for those 46 the average was 34.0 (56.7%)

Problems

44 students earned 26 or more points

for those 44 the average was 40.7 (62.6%)

Overall averages

63 students took all four tests

for these 63 students

the final HW average is  23.1 points (92.3% of 25)

the final test average is  49.5 points (66% of 75)

and the overall average is  72.6 points

With this overall average the final grade scale is

55.6 - 66.1      D
66.1 - 76.6      C
76.6 - 87.1      B

with below 55.6 as E and above 87.1 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 54.9, the highest D is 65.3,
the highest C is 75.3, and the highest B is 86.2.  The smallest
gap is 0.7 points.  Grades were assigned strictly based on this
scale.

Here is the grade distribution for those 63 students:
```
```
```