A list contains \(n\) distinct integers. Are all \(n\) integers consecutive?

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A list contains \(n\) distinct integers. Are all \(n\) integers consecutive?

(1) The average (arithmetic mean) of the list with the lowest number removed is \(1\) more than the average (arithmetic mean) of the list with the highest number removed.

(2) The positive difference between any two numbers in the list is always less than \(n.\)

Answer: D

Source: Manhattan GMAT
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