What is the standard deviation of the three numbers x+5, y+5, z+5?(1)The standa

游客2024-01-13  14

问题 What is the standard deviation of the three numbers x+5, y+5, z+5?
(1)The standard deviation of x and y is greater than 0.3.
(2)The standard deviation of x, y and z equals to 0.2.

选项 A、Statement (1) ALONE is sufficient, but statement (18) alone is not sufficient to answer the question asked.
B、Statement (2) ALONE is sufficient, but statement (17) alone is not sufficient to answer the question asked.
C、BOTH statement (1) and (18) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient to answer the question asked.
E、Statement (1) and(18)TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

答案 B

解析 此题考查对标准方差性质的理解。当数列中的每一个数都加上一个常数,那么新产生的数列的标准方差和原数列的标准方差相等。所以很容易得到B为正确答案。
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