```NOTE:  In reporting the averages from the test we drop
the lowest scores.  This is because 20% (1 out
of 5) 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

135 students took test 1

121 scored above 40

for those 121 the average was 73.4

2nd test

124 students took test 2

106 scored above 40

for those 106 the average was 63.6

3rd test

114 students took test 3

86 scored above 40

for those 86 the average was 61.4

4th test

116 students took test 4

88 scored above 40

for those 88 the average was 59.3

5th test

99 students took test 5

78 scored above 30

for those 78 the average was 55.4

Overall averages

109 students have taken 4 or more tests

for these 109 the test average is 64.3  (60 points possible)

HW average is  7.5  (10 points possible)

quiz average is  8.5  (10 points possible)

the average total points (out of 80 possible) is 54.6

Final exam

111 students took the final exam

for those 111 the average was 12.3 (out of 20)

Total class average

109 students took 4 or more tests plus the final exam

for those 109 the final overall average is 66.5 points

Here is the grade distribution for those 109 students:
``` ```

The estimated grade scale, before the exam, based on a
middle C of 68.0, was

D   51-62
C   62-74
B   74-85

With the final overall average at 66.5 the final grade scale
becomes:

D   48.6-60
C   60-71.6
B   71.6-82

with below 48.6 an E and above 82 an A.  The scale was adjusted
so as to find gaps in the grade distribution.  With the scale
as above the highest E is 47.6, the lowest D is 48.8, the
highest D is 58.9, the lowest C is 60.1, the highest C is 70.5,
the lowest B is 71.7, the highest B is 81.2, and the lowest A
is 82.1.  So there is at least a 0.9 gap between each grade
level.  Letter grades will be assigned strictly according to
this scale.
```