GMAT OG2019 数学DS新题第326题(附解析)

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326. Last year, in a certain housing development, the average (arithmetic mean) price of 20 new houses was $160,000. Did more than 9 of the 20 houses have prices that were less than the average price last year ?

(1) Last year the greatest price of one of the 20 houses was $219,000.

(2) Last year the median of the prices of the 20 houses was 150,000.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. Each statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.

题目大意

去年,在某房地产开发项目中,20套新房的平均价格(算术平均值)是16万美元。20套房子中有9套的价格低于去年的平均价格吗?

(1) 去年这20套房子中,最高的价格是21.9万美元。

(2) 去年这20所房子的价格中位数是15万。

解题思路

20套房子的平均价格为16万美元,则房子总价格为320万美元

(1) 知道房子总价和最高价格,无法判断价格比较低的9套房子的价格范围,条件不充分;

(2) 中位数是房价按从大到小或从小到大排序,第10和第11房子价格的平均值。已经知道中位数是15万,如果是从小到大排序的,则前面九个房子的价格肯定是小于15万的。条件充分。

正确答案: B

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