AP® Statistics

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A Mean Question

APSTAT-GV26ND

Consider two distributions X and Y. For both distributions the mean, median, range, standard deviation, and variance are all greater than 1.

Which of the following is NOT possible?

A

X has a greater mean and Y has a greater standard deviation.

B

X has a greater range and Y has a greater standard deviation.

C

X has a greater variance and Y has a greater range.

D

X has a greater mean and Y has a greater median.

E

X has a greater standard deviation and Y has a greater variance.