Fourth grade classroom 4A has a mean standardized test score of 80 with a standard deviation of 2.7. Fourth grade classroom 4B has a mean standardized test score of 75 with a standard deviation of 1.3. Which of the following statements related to the variability of the two data sets is most appropriate?

Options

A.

Classroom 4B has less variability in their test scores because of the lower standard deviation.

B.

Due to the difference in means between the two classes, the teachers must use the coefficient of variation to compare variability.

C.

Classroom 4A has less variability because even though there is a higher standard deviation, there is also a higher mean.

D.

It is never appropriate to compare the variability in different data sets.

E.

The teachers should attempt to obtain a five-number summary of the results and compare boxplots to get a feel for the variability.