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Set B has three positive integers with a median of 9. If the

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Director
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Set B has three positive integers with a median of 9. If the [#permalink] New post 01 Oct 2004, 02:16
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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.
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 [#permalink] New post 01 Oct 2004, 02:53
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 - :kill
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 [#permalink] New post 01 Oct 2004, 05:21
I don't understand how it can be different than E ?

The numbers could be: 1,9,20...
But they could also be : 9,9,9...
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 [#permalink] New post 01 Oct 2004, 05:48
Dookie,
It cant be 9,9,9 because, the range is 19.
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 [#permalink] New post 01 Oct 2004, 05:54
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.
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 [#permalink] New post 01 Oct 2004, 17:39
excellent catch dookie. Sure, now it makes the problem solution even worse.
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 [#permalink] New post 01 Oct 2004, 18:27
Agree with E and Dookie's mention which makes the problem even worse. Badly written question I guess
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 [#permalink] New post 01 Oct 2004, 20:27
"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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 [#permalink] New post 01 Oct 2004, 22:32
Yep, that is why I choose E, but was furious to find that OA is B.
Surprised to see substandard questions from a big company like Princeton.
  [#permalink] 01 Oct 2004, 22:32
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