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Bunuel
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Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
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E
Greater or equal to 12

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Median is given to be 11

7, 10, 10, 12, 15 => Addition of one more term i.e. x will lead to avg. of 3rd and 4th term to be the median

Any number less than 12 will lead to a median less than 11, as the 3rd term is 10 and for average to be 11, the 4th term needs to be 12

If x = 12, it satisfies the median. If x > 12, the fourth term in the sequence will become 12 and that will satisfy the median too.

Answer E.
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consider by taking x as less than 7. In this case the median will be 10.
Now take x as grater than 15. in this case the median is not affected. Same goes with all the values that are grater than or equal to 12.
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