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Last month 15 homes were sold in town X. The average [#permalink]
30 Jan 2006, 22:42

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Difficulty:

(N/A)

Question Stats:

100% (04:23) correct
0% (00:00) wrong based on 1 sessions

Last month 15 homes were sold in town X. The average (arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000. Which of the following statements must be true?

I. At least one of the homes was sold for more than $165,000
II. At least one of the homes was sold for more than $130,000 and less than $150,000
III. At least one of the homes was sold for less than $130,000

A. I only
B. II only
C. III only
D. I and II
E. I and III

15 numbers....middle number is 130000. Numbers have to be greater than less than the median for 130000 to be the median.

Average could be 150000 but still there can't be any number b/w 130000 and 150000 if the smaller numbers below the median are really LOW and the larger numbers above the median are really HIGH.

If the first eight houses were all sold at the price of $130,000, the median will be this $130,000.

It is A

That's the perfect reasoning! That's why III is not necessarily true. So only A must be true. _________________

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