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# PS - GMATPrep - Mean. Median

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PS - GMATPrep - Mean. Median [#permalink]

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28 Apr 2007, 17:03
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Could anyone please explain how to solve this ?
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28 Apr 2007, 19:48
1 - If no home was sold for more than 165, then the maximum high-costing homes can do to increase the average is to cost 165 (All 7 of them)

Maximum the low-costing homes can do to not decrease the average a lot is to cost 130 (All 8 of them)

Avg = 146...

So, at least one home HAS to be sold for more than 165. So, 1 must be true

2 - This is not necessary. Homes can be sold for more than (or equal to) 150 and less than (or equal to) 130 to get to 150 as Avg and 130 as median.

3 - This is also not necessary. All 8 low-costing homes might be sold for 130 exactly to get 130 as the median. The high-costing homes can still get the Avg reach 150.

So, only I is true
28 Apr 2007, 19:48
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# PS - GMATPrep - Mean. Median

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