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22 May 2017, 08:19
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C
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:
78% (00:32) correct
22%
(00:56)
wrong
based on 76
sessions
History
Date
Time
Result
Not Attempted Yet
What is the Median 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, 08:29
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GMATinsight
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:
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22 May 2017, 08:29
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GMATinsight
Statement 1: Provides no information about numbers in the set, hence we cannot find the median. Insufficient
Statement 2: This statement means that all numbers in the set are Equal, since Range = Max - Min = 0.
This implies Max = Min and this can only happen if all numbers are equal.
But this statement provides no value regarding the number itself. Hence Insufficient.
Combining 1 & 2, we get that mean of Set A is 10 and numbers are equal. So all numbers in set A must be 10.
Hence Median must be 10. Sufficient
Option C
