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

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

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New post 04 Dec 2017, 04:09
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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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New post 04 Dec 2017, 04:15
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
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The following sets each have a mean of 10 and the standard deviations  [#permalink]

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New post 04 Dec 2017, 04:46
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
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Re: The following sets each have a mean of 10 and the standard deviations  [#permalink]

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New post 05 Dec 2017, 00:52
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] 05 Dec 2017, 00:52
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