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Pavlova-9 [17]
3 years ago
7

There are two calculus classes at your school. Both classes have a class average of 75.5. The first class has a standard deviati

on of 10.2 and the second has a standard deviation of 22.5. How do the classes compare?
Mathematics
1 answer:
Korvikt [17]3 years ago
4 0
To compare the two classes, the Coefficient of Variation (COV) can be used. The formula for COV is this:
C = s / x
where s is the standard deviation and x is the mean
For the first class:
C1 = 10.2 / 75.5
C1 = 0.1351 (13.51%)

For the second class:
C2 = 22.5 / 75.5
C2 = 0.2980 (29.80%)

The COV is a test of homogeneity. Looking at the values, the first class has more students having a grade closer to the average than the second class.
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