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Set B has three positive integers with a median of 9. If the [#permalink]

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01 Oct 2004, 03:16

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A

B

C

D

E

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Set B has three positive integers with a median of 9. If the largest possible range of the three numbers is 19, given a certain mean, what is that mean?
(A) 22
(B) 10
(C) 9.6
(D) 9
(E) It cannot be determined from the information given

Actually, I disagree with the approach and hence the post. So, please explain your approach.

I am convinced about E and I also know the answer is B. I think B is a naive choice with no life and assumes the least resistant of the numbers which is 1,9,20. If we chose 5,9,24 then the mean would be 12.66. If the question stem would have said, which of the following is a posible mean, then I think B is the right answer. Else E suits me best. Alternately the choice E should not have been there - because it triggers the potential trick. But when we know its B, I feel this to the guy who wrote this question -

As i understand it : "the largest possible range of the three numbers is 19".
Which means no more than 19.
It doesn't mean that the range is 19. It could be less.

"Largest possible" refers that the within the set the largest range is 19, it's possible means it does exist else it would be impossible . Hence the set must have that range as well.Still an E is the only choice.
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