For a certain set of \(n\) numbers, where \(n > 1,\) is the average (arithmetic mean) equal to the median?

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For a certain set of \(n\) numbers, where \(n > 1,\) is the average (arithmetic mean) equal to the median?

(1) If the \(n\) numbers in the set are listed in increasing order, then the difference between any pair of successive numbers in the set is \(2.\)
(2) The range of the \(n\) numbers in the set is \(2(n- 1).\)

Answer: A

Source: GMAT Prep