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Men's Weights

APSTAT-RS4YVY

The statistics below provide a summary of the distribution of weight, in pounds, from a sample of one hundred adult men:

Minimum: $138\text{ pounds}$
First Quartile: $153\text{ pounds}$
Median: $171\text{ pounds}$
Third Quartile: $192\text{ pounds}$
Maximum: $213\text{ pounds}$

Which of the following statements is always FALSE?

A

$75$ of the men in this sample weigh at least $192\text{ pounds}$.

B

$25$ of the men in this sample weigh, at most, $153\text{ pounds}$.

C

$50$ of the men in this sample can weigh, at most, $171\text{ pounds}$.

D

$50$ of the men in this sample can weigh at least $171\text{ pounds}$.

E

$25$ of the men in this sample weigh at least $192\text{ pounds}$.