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 statement 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

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