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# The following sets each have a mean of 10 and the standard deviations

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Math Expert
Joined: 02 Sep 2009
Posts: 50653
The following sets each have a mean of 10 and the standard deviations  [#permalink]

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04 Dec 2017, 03:09
00:00

Difficulty:

15% (low)

Question Stats:

86% (00:59) correct 14% (01:14) wrong based on 53 sessions

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The following sets each have a mean of 10 and the standard deviations are given as variables.
Set I = {7, 8, 9, 11, 12, 13}, standard deviation = P
Set II = {10, 10, 10, 10, 10, 10}, standard deviation = Q
Set III = {6, 6, 6, 14, 14, 14}, standard deviation = R
Rank these three standard deviations from least to greatest.

A. P, Q, R
B. P, R, Q
C. Q, P, R
D. Q, R, P
E. R, Q, P

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Re: The following sets each have a mean of 10 and the standard deviations  [#permalink]

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04 Dec 2017, 03:15
Bunuel wrote:
The following sets each have a mean of 10 and the standard deviations are given as variables.
Set I = {7, 8, 9, 11, 12, 13}, standard deviation = P
Set II = {10, 10, 10, 10, 10, 10}, standard deviation = Q
Set III = {6, 6, 6, 14, 14, 14}, standard deviation = R
Rank these three standard deviations from least to greatest.

A. P, Q, R
B. P, R, Q
C. Q, P, R
D. Q, R, P
E. R, Q, P

Q < P < R
In R the sum of distances of individual numbers in set is greater than that in P
C
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The following sets each have a mean of 10 and the standard deviations  [#permalink]

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04 Dec 2017, 03:46
Q has 0 std deviation as all the numbers are equal to mean.
P has values closer to the mean(10) compared to R
In set 1, spread from the mean 3+2+1=6*2 =12
in Set 3, spread from the mean: (4*3)2 = 24
0<12<24
Q< P< R
--C--
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Joined: 26 Oct 2017
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Re: The following sets each have a mean of 10 and the standard deviations  [#permalink]

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04 Dec 2017, 23:52
Range ( no of elements are equal)

P = 13-7= 6
Q = 10-10 = 0
R = 14-6 = 8

Therefore IMO C

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Re: The following sets each have a mean of 10 and the standard deviations &nbs [#permalink] 04 Dec 2017, 23:52
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