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

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