When one new number is included in an existing set of 6 numbers, does the median of the set change?

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When one new number is included in an existing set of 6 numbers, does the median of the set change?

(1) The mean of the original 6 numbers is 50.
(2) At least 2 of the numbers in the original set were 50.

[spoiler]OA=E[/spoiler]

Source: Manhattan GMAT
Source: — Data Sufficiency |