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AP® Statistics

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What Happens to the Mean and Standard Deviation?

APSTAT-JHVRYB

The boxplot below represents a data set.

Albert.io. Copyright 2016

If the minimum value was changed from twenty to twelve, what would happen to the mean and standard deviation of the data set?

A

Both the mean and standard deviation would decrease.

B

The mean would decrease and the standard deviation would increase.

C

Both the mean and standard deviation would remain the same.

D

The mean would increase and the standard deviation would decrease.

E

Both the mean and standard deviation would increase.