gmat数学题 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 mo

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gmat数学题
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

上个月在x镇卖出15套房子.平均价格150000,中位数130000,下面哪个正确
1,至少1套房子卖价超过165000
第一个对
假设第二个对,举出反例 前面8套都130000,后面7套都是172000 所以第二个不成立
假设第三个成立 上述例子也可以推翻.
而第一个答案,假设都在165000以内,中位数130000说有8套房子价格不大于130000,离平均数至少差钱20000*8=1600000,而后面7套最多高出平均数15000*7=105000少于160000 所以平均数一定达不到150000

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