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

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Senior Manager
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The following sets each have a mean of 10 and the standard [#permalink] New post 04 Dec 2017, 03:09
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70% (01:03) correct 30% (01:16) wrong based on 10 sessions
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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[Reveal] Spoiler: OA
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Director
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Re: The following sets each have a mean of 10 and the standard [#permalink] New post 22 Jan 2018, 21:40
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set II has all of it's terms= 10 hence S.D. of this set = 0
that rules out all other possibilities except C and D

Set I has the least term as 7 and highest term as 13 both of these terms are 3 units apart in absolute value from the mean
all other terms are less than 3 units apart

Set III has all 6 terms 4 units apart from the mean value of 10 hence Set III has the highest spread from the mean

Q, P, R
(c)
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Manager
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Re: The following sets each have a mean of 10 and the standard [#permalink] New post 23 Jan 2018, 09:36
Q P R is the correct answer.

As Larger the difference(distance from the mean), Larger the standard deviation.
Intern
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Re: The following sets each have a mean of 10 and the standard [#permalink] New post 25 Jan 2018, 04:55
Think about the mean as a line going through a space showing the constant average of a given set of numbers.
Looking at the sets, you can clearly see that set || is not scattered around this mean, while set ||| is scattered the most.
Note that the farther a set is scattered around the mean, the higher the standard deviation.
--> Answer C is correct
Intern
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Re: The following sets each have a mean of 10 and the standard [#permalink] New post 03 Feb 2018, 04:07
Good Job!!!
Re: The following sets each have a mean of 10 and the standard   [#permalink] 03 Feb 2018, 04:07
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The following sets each have a mean of 10 and the standard

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