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05 Sep 2018, 12:59
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Sets P and Q each consist of integers. If no integer is common between the two sets, what is the difference between the standard deviation of sets P and Q?
(1) Set P and Set Q both contain consecutive integers only
(2) If the integers of Set P are added to the integers of Set Q, the sum of all the integers in set Q will be 0.
(1) Set P and Set Q both contain consecutive integers only
(2) If the integers of Set P are added to the integers of Set Q, the sum of all the integers in set Q will be 0.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
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05 Sep 2018, 18:46
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]Sets P and Q each consist of integers. If no integer is common between the two sets, what is the difference between the standard deviation of sets P and Q?
SD is the spread of elements around the mean
(1) Set P and Set Q both contain consecutive integers only
SD of sets of consecutive integers will be same if number of elements are same other wise NO
Set P {2,3,4,5} and set Q {7,8,9,10) will have SAME SD
However {2,3,4,5} and {7,8,9,10,11} will have different SDs
Insufficient
(2) If the integers of Set P are added to the integers of Set Q, the sum of all the integers in set Q will be 0.
Set P {2,4,7,8} and set Q { -10,-8,-4,1} will have different SDs
{1,2,3,4} and {-4,-3,-2,-1} will have same SDs
Insufficient
Combined
{1,2,3,4} and {-4,-3,-2,-1} will have same SDs
{-1,0,1} and {-3,-2,-1,0,1,2,3} will have different SDs
Insufficient
E
SD is the spread of elements around the mean
(1) Set P and Set Q both contain consecutive integers only
SD of sets of consecutive integers will be same if number of elements are same other wise NO
Set P {2,3,4,5} and set Q {7,8,9,10) will have SAME SD
However {2,3,4,5} and {7,8,9,10,11} will have different SDs
Insufficient
(2) If the integers of Set P are added to the integers of Set Q, the sum of all the integers in set Q will be 0.
Set P {2,4,7,8} and set Q { -10,-8,-4,1} will have different SDs
{1,2,3,4} and {-4,-3,-2,-1} will have same SDs
Insufficient
Combined
{1,2,3,4} and {-4,-3,-2,-1} will have same SDs
{-1,0,1} and {-3,-2,-1,0,1,2,3} will have different SDs
Insufficient
E
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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