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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.

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