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x is equal to 0

by j_shreyans » Wed Oct 01, 2014 3:29 am
List X contains 8 integers. Is the standard deviation of the integers in list X equal to zero?

(1) The range of the integers in list X is 3.

(2) The average (arithmetic mean) of the integers in list X is 5.

OAA
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Source: — Data Sufficiency |
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by GMATinsight » Wed Oct 01, 2014 8:10 am
j_shreyans wrote:List X contains 8 integers. Is the standard deviation of the integers in list X equal to zero?

(1) The range of the integers in list X is 3.

(2) The average (arithmetic mean) of the integers in list X is 5.

OAA
CONCEPT : STANDARD DEVIATION IS ZERO WHEN ALL TERMS IN THE SET ARE EQUAL

Statement 1) Range is 3 means the terms have some deviation and they are not equal therefore standard deviation is not Zero
Sufficient

Statement 2) The average (arithmetic mean) of the integers in list X is 5.
Then all elements of set may be equal to 5 [Standard deviation = 0]
OR
All elements of set may be {3, 4, 5} [Standard deviation Not equal to 0]
Not Sufficient

Answer: Option A
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