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SAT® Subject Test in Math 1 & 2

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Comparing Standard Deviation

SATSTM-YLYQ5F

Ms. Bills teaches Geometry period $5$ and $9$. She recently graded their test and determined that the mean score for period $9$ is less than the mean score in period $5$. However, the standard deviation of scores in period $5$ is less than that in period $9$. Which one of the following must be true?

A

The highest test score in period 5 is greater than the highest score in period 9.

B

The median score is higher in period 5 than period 9.

C

The range of scores in period 5 is greater than in period 9.

D

The mode in period 5 is higher than in period 9.

E

The scores are more closely grouped about the mean of period 5 than in period 9.