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22 May 2017, 08:14
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
70% (00:29) correct
30%
(00:33)
wrong
based on 131
sessions
History
Date
Time
Result
Not Attempted Yet
What is the standard deviation of the set A?
1) Mean of the set A is 10
2) Range of the set A is 0
Source: www.GMATinsight.com
1) Mean of the set A is 10
2) Range of the set A is 0
Source: www.GMATinsight.com
22 May 2017, 08:23
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GMATinsight
Statement 1: gives only the information regarding mean but we know nothing about the numbers and their average. hence insufficient
Statement 2: Essentially this statement means that all numbers in the set are EQUAL. Since, Range = Max - Min = 0.
This implies Max = Min, which is only possible if all numbers are equal.
As all numbers are equal the standard deviation will be 0.
Hence Sufficient.
Option B
23 Mar 2020, 06:51
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Target question: What is the standard deviation of set A?
Statement 1: Mean of the set A is 10
There are several sets that satisfy statement 1. Here are two:
Case a: Set A = {10, 10, 10}. The mean = 10. In this case, the standard deviation of set A is 0
Case b: Set A = {0, 10, 20}. The mean = 10. In this case, the standard deviation of set A is NOT 0
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: Range of the set A is 0
If the range is 0, then every value in set A is the same.
In other words, the the standard deviation of set A is 0
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
