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# Sets P and Q each consist of integers. If no integer is common between

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Retired Moderator
Joined: 11 Aug 2016
Posts: 367
Sets P and Q each consist of integers. If no integer is common between  [#permalink]

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05 Sep 2018, 12:59
00:00

Difficulty:

75% (hard)

Question Stats:

37% (01:38) correct 63% (01:29) wrong based on 27 sessions

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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.
Math Expert
Joined: 02 Aug 2009
Posts: 8299
Re: Sets P and Q each consist of integers. If no integer is common between  [#permalink]

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05 Sep 2018, 18:46
2
]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
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Re: Sets P and Q each consist of integers. If no integer is common between   [#permalink] 05 Sep 2018, 18:46
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