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# An Equal Mode and Median

SATMAT-XTGJVE

The least and greatest integers in a list of nine integers are $3$ and $13$ respectively. The mean of these nine integers is $8$, and the number $4$ occurs twice in the list. In this list, the integer, $m$, is both the median and the mode.

Which of the following is a true statement about the value for $m$?

A

Both $7$ and $8$ are possible values for $m$.

B

Both $8$ and $11$ are possible values for $m$.

C

$7$, $8$, and $11$ are all possible values for $m$.

D

$8$ is a possible value for $m$, but neither $7$ nor $11$ are possible values.