GMAT OG2019 数学DS新题第290题(附解析)

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290. The 10 students in a history class recently took an examination. What was the maximum score on the examination?

(1) The mean of the scores was 75,

(2) The standard deviation of the scores was 5.

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

最近历史课上的10个学生参加了一次考试。这次考试的最高分是多少?

(1) 得分均值为75,

(2) 得分标准差为5。

解题思路

(1) 得分均值 = 总分数之和÷总人数,与最高分没有关系,无法求出最高分,条件不充分;

(2) 得分标准差 = 方差的算术平方根,与所有得分有关系,无法求出最高分,条件不充分;

(1)+(2),同时知道均值和标准差,无法求得最高分,条件不充分。

正确答案: E

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