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# X is a positive integer Set S = Which cannot be the median

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CEO
Joined: 21 Jan 2007
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X is a positive integer Set S = Which cannot be the median [#permalink]

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29 Oct 2007, 11:09
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

X is a positive integer
Set S = [X, 9 , 2, 5]

Which cannot be the median of Set S?

3
3.5
4
5
6.5

Please explain your approach.
Manager
Joined: 19 Aug 2007
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[#permalink]

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29 Oct 2007, 11:16
place the numbers in order and try x at different places in the set
if x is before 2 then the median is 3.5 so thats possible

4 is possible when x is 3
5 is possible when x is 5
6.5 is possible when x is 8

but 3 is never possible because if x is before 2 then the median is 3.5 and if x is 2 or more the median will have to be greater than 3.
[#permalink] 29 Oct 2007, 11:16
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# X is a positive integer Set S = Which cannot be the median

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