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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?


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


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


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


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


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

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