ExplanationIn the question, the only information you are given about the 8 numbers in set S is that 4 are negative and 4 are positive. Sets with 4 negative and 4 positive numbers can vary greatly. For instance

Example 1: {–4, –3, –2, –1, 1, 2, 3, 4}. In this case, the average of the numbers in the set is 0, and the median is also 0, so Quantity A is equal to Quantity B.

Example 2: {–100, –3, –2, –1, 1, 2, 3, 4}. In this case, the median of the numbers is 0, but the average of the numbers is less than 0, so Quantity B is greater than Quantity A.

The answer is D

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Sandy

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