BTGModeratorVI wrote: ↑Tue Jul 07, 2020 6:29 am
Set P has n integers. What is the standard deviation of Set P?
(1) The range of Set P is equal to zero
(2) The mean of Set P is equal to the median of Set P
Answer:
A
Source: E-gmat
Given: Set P has n integers.
Target question: What is the standard deviation of Set P?
Statement 1: The range of Set P is equal to zero
If the range is ZERO then every element in set P must be the SAME.
If all of the values are the same then there is NO DEVIATION, which means
the standard deviation of Set P is zero
Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: The mean of Set P is equal to the median of Set P
There are several scenarios that satisfy statement 2. Here are two:
Case a: Set P = {1,1,1}. Since all the values are the SAME ,
the standard deviation is 0
Case b: Set P = {1,2,3}. Since the values are DIFFERENT,
the standard deviation is NOT 0
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
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