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AP® Statistics

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Moderate

Different Measures of Center

APSTAT-FGKEEY

If two or more distributions are known to have measures of center that are significantly different from each other, then

A

Their means will be close to each other.

B

Their individual standard deviations will be small in comparison to the combined standard deviation if all data from the distributions were combined.

C

Their individual standard deviations will be equal.

D

The net difference of the means of the distributions will be close to or equal to $0$.

E

None of the above; researchers will always obtain sample means from each distribution that are significantly different from each other.