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Moderate

Set Statistics: Average of Removed Numbers

GMAT-KPG1EK

A set of $9$ numbers has an average of $12$, median of $10$, mode of $9$, and range of $11$.

If two numbers are removed from the set and the average falls to $10$, what is the average of the two removed numbers?

A

$19$

B

$18$

C

$17$

D

$16.5$

E

The given information is impossible.