```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

77 students took test 1

Multiple Choice

53 students earned 35 or more points

for those 53 the average was 43.6 (72.7%)

Problems

60 students earned 24 or more points

for those 60 the average was 42.4 (65.2%)

2nd test

76 students took test 2

Multiple Choice

58 students earned 30 or more points

for those 58 the average was 41.4 (69.0%)

Problems

54 students earned 30 or more points

for those 54 the average was 43.6 (67.1%)

3rd test

69 students took test 3

Multiple Choice

46 students earned 30 or more points

for those 46 the average was 40.7 (67.8%)

Problems

51 students earned 21 or more points

for those 51 the average was 40.1 (61.7%)

4th test

67 students took test 4

Multiple Choice

52 students earned 25 or more points

for those 52 the average was 35.7 (59.5%)

Problems

43 students earned 20 or more points

for those 43 the average was 36.4 (55.9%)

Overall averages

67 students took all four tests

for these 67 students

the final HW average is 20.7  points (82.9% of 25)

the final test average is 47.0  points (62.6% of 75)

and the overall average is 67.7  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 67 students.  With this overall average the final grade
scale is

50.7  -  60.6     D
60.7  -  73.6     C
73.7  -  84.6     B

with below 50.7 as E and above 84.6 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 48.8, the lowest D is 50.7, the
the highest D is 59.9, the lowest C is 60.8, the highest C is
69.8, the lowest B is 74.1, the highest B is 83.8, and the lowest
A is 85.1.  The smallest gap is 0.9 points.  Grades were assigned
strictly based on this scale.

```Here is the grade distribution for those 67 students:
```You can also view the grades as a text file: