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# The arithmetic mean and standard deviation of a certain

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Intern
Joined: 20 Nov 2011
Posts: 2
The arithmetic mean and standard deviation of a certain [#permalink]

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15 Mar 2012, 08:29
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Difficulty:

5% (low)

Question Stats:

91% (01:16) correct 9% (00:52) wrong based on 95 sessions

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The arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 1.5, respectively. What value is exactly 2 standard deviations less than the mean?

A. 10.5
B. 11
C. 11.5
D. 12
E. 12.5
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 39581
Re: The arithmetic mean and standard deviation of a certain [#permalink]

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15 Mar 2012, 08:35
MaithiliGokarn wrote:
The arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 1.5, respectively. What value is exactly 2 standard deviations less than the mean?
a) 10.5
b) 11
c) 11.5
d) 12
e) 12.5

The value which is exactly two SD less than the mean is: mean-2*SD=13.5-2*1.5=10.5.

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Hope it helps.
_________________
Re: The arithmetic mean and standard deviation of a certain   [#permalink] 15 Mar 2012, 08:35
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