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can anyone explain the question and the answer?

Given that the median of the measurements in set A is "x" and the mean of the measurements in the set A is "(x+2)/2"

Quantity A = x
Quantity B = \(\frac{x+2}{2}\) = \(\frac{x}{2}\) + 1

Assume Quantity A > Quantity B, this will happen when
x > \(\frac{x}{2}\) + 1
=> x - \(\frac{x}{2}\) > 1
=> \(\frac{x}{2}\) > 1
=> x > 2, which is very much possible as we do not know anything about the values in the set!

Assume Quantity A < Quantity B, this will happen when
x < \(\frac{x}{2}\) + 1
=> x - \(\frac{x}{2}\) < 1
=> \(\frac{x}{2}\) < 1
=> x < 2, which is very much possible as we do not know anything about the values in the set!

So, Answer will be D
Hope it helps!

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