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Question Stats:
56% (01:53) correct
43% (01:24) wrong based on 1 sessions
What is x? (1) The median of set (x, 1, -1, 3, -x) = 0 (2) The median of set (x, 1, -1, 3, -x) = x/2 1). there are five elements so the median has to be the middle number, therefore the middle number would have to be zero, so x would have to be zero, however zero is not positive or negative.
Don`t think im understanding the question quite right??
Thanks
Last edited by Bunuel on 30 Nov 2012, 05:05, edited 1 time in total.
Edited the question.
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sje12 wrote: What is x? (1) The median of set (x, 1, -1, 3, -x) = 0 (2) The median of set (x, 1, -1, 3, -x) = x/2 1). there are five elements so the median has to be the middle number, therefore the middle number would have to be zero, so x would have to be zero, however zero is not positive or negative.
Don`t think im understanding the question quite right??
Thanks The question asks to find the value of x not to determine whether it's positive or negative. What is the value of x?Note that the median of a set with odd number of elements is just the middle element, when arranged in ascending/descending order. (1) The median of set \{x, -1, 1, 3, -x\} is 0. The median of this set of 5 (odd) elements must be the middle term, hence x=0. Sufficient. (2) The median of set \{x, -1, 1, 3, -x\} is \frac{x}{2}. It could be that x=0 (in this case the set is {-1, 0, 0, 1, 3}) as well as it could be that x=2 (in this case the set is {-2, -1, 1, 2, 3}). Not sufficient. Answer: A.
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But they label that x is negative and positive, and zero is not negative or positive, thats just what confuses me, why have they done that, or why is it irrelevant
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