If the average (arithmetic mean) of the five numbers \(x, 7, 2, 16,\) and \(11\) is equal to the median of five numbers,

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If the average (arithmetic mean) of the five numbers \(x, 7, 2, 16,\) and \(11\) is equal to the median of five numbers, what is the value of \(x?\)

(1) \(7 < x < 11.\)
(2) \(x\) is the median of the five numbers.

Answer: D

Source: GMAT Prep