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这个题是怎么算出来的。。。。

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.
答案是I,后两个为什么不对???
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取极端值比如把比中数小的都算成130000 剩下的都是最大的一个值

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