If \(x\) is an integer, is the median of \(5\) numbers shown greater than the average of \(5\) numbers?

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\(\{x, 3, 1, 12, 8\}\)

If \(x\) is an integer, is the median of \(5\) numbers shown greater than the average of \(5\) numbers?

(1) \(x > 6\)
(2) \(x\) is greater than median of \(5\) numbers.

Answer: E

Source: GMAT Prep