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

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

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