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Statement 1 says that x is greater than 1. It could be 2 or could be 20.

So we don't know whether S = { -4, 0, 1, x, 17 }

or S = { -4, 0, 1, 17, x }

and hence we cannot find the median. The statement is not sufficient.

Eliminate answer choices A and D.

Statement 2 says that x is less than 2. It could be -1 or -6. Again we cannot determine the median. Statement 2 is also insufficient and we can eliminate choice B.

Looking at both the statments together, we can be sure that

S = { -4, 0, 1, x, 17 }. The median is 1 and both the statements together are sufficient to answer the question.