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AP® Statistics

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Quartiles, Median, Mean, and Range: Oh What Fun!

APSTAT-BJOY0R

If ${ Q }_{ 1 }=38$ and ${ Q }_{ 3 }=60$, which of the following statements must be true?

I. The median is $49$.
II. The mean is somewhere between $38$ and $60$.
III. The range is $22$.

A

I only.

B

II only.

C

III only.

D

I and II only.

E

None of the statements above are necessarily true.