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Bunuel
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brooklyndude
Judging by this question, you can't assume that the set provided to you is in ascending order? I'd feel more comfortable removing that assumption if anyone can provide an OG question which has a set of unknown variables not provided in ascending order.

A set, by definition, is a collection of elements without any order. (While, a sequence, by definition, is an ordered list of terms.)
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+1 for A. My take :

Statement 1 : Given that mean is a+b. (a+b)/3=a+b ; i.e a+b=0. This means that the set is -2b,0,2b. The median in this case becomes zero. We get a definite answer.

Statement 2 : Range is 2b. The middle value is b-a. This is not a definite value. Hence not sufficient.

The answer is option A.
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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