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Suppose a basketball team consists of $15\text{ players}$ that range in height from $5\text{ feet}$ $8\text{ inches}$ to $6\text{ feet}$ $10\text{ inches}$. Suppose the tallest player on this team leaves but is replaced by a $7$-feet-tall player.

Which of the following measures are guaranteed to change, and how so?

A

Interquartile range will increase.

B

Median will increase.

C

Mode will decrease.

D

Standard deviation will increase.

E

Mean will decrease.

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