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Last month 15 homes were sold in town X. The average [#permalink]
30 Jan 2006, 23:42
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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
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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