Lists \(S\) and \(T\) consist of the same number of positive integers. Is the median of the integers in \(S\) greater

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Lists \(S\) and \(T\) consist of the same number of positive integers. Is the median of the integers in \(S\) greater than the average (arithmetic mean) of the integers in \(T?\)

(1) The integers in \(S\) are consecutive even integers, and the integers in \(T\) are consecutive odd integers.
(2) The sum of the integers in \(S\) is greater than the sum of the integers in \(T.\)

Answer: C

Source: GMAT Paper Tests