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# If S is a set of 5 positive distinct integers with an

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If S is a set of 5 positive distinct integers with an [#permalink]  17 Aug 2008, 10:38
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If S is a set of 5 positive distinct integers with an average (arithmetic mean) of 9 and a median of 7, what is the least possible value of the largest number in the set? (Can someone explain)

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Re: PS: Mean [#permalink]  17 Aug 2008, 10:46
Since question is asking for least possible value for largest element, we need to maximize other values.

So series should be 5,6,7,x-1,x (Since numbers are distinct so we cannot take 7,7,7,x,x)
5+6+7+x-1+x/5 = 9
=>2x = 45+1-18 = 28
=> x = 14
Re: PS: Mean   [#permalink] 17 Aug 2008, 10:46
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