a data from gmatclub

[diebeatsthegmat]

Given a set {x, y, z}, if the first term in the data set above is 3, what is the third term?

(1) the range of this data set is 0

(2) the standard deviation of this data set is 0
i think the answer should be D.
statement 2 is obviously sufficient
statement 1: range=max-min=0 so max=min

[force5]

Seems like D for me too. i didn't understand what is your doubt?

[atulmangal]

Ans has to be Op D only

its a general principal if Range is zero that means all the no's are equal

[diebeatsthegmat]

Seems like D for me too. i didn't understand what is your doubt?

because in the page i read, the answer is not D. thats why i asked

[atulmangal]

Seems like D for me too. i didn't understand what is your doubt?

because in the page i read, the answer is not D. thats why i asked

So what's the ans given on that page???

[Ian Stewart]

If the range is zero, the standard deviation is zero and vice versa; the two statements tell you the same thing. Further, if the range is zero, all the elements are equal, so the answer is certainly D.

The wording of the question is pretty awful. For one thing, sets are not ordered, so the question should not talk about the 'first element' or the 'third element' in the set (I don't know why it doesn't simply tell you that x=3 and ask for the value of z).