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# A certain characteristic in a large population has a

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Manager
Joined: 07 Jun 2006
Posts: 113
Followers: 2

Kudos [?]: 7 [0], given: 0

A certain characteristic in a large population has a [#permalink]  23 Oct 2006, 09:16
A certain characteristic in a large population has a distribution that is symmetric about the mean M. If 68 percent of the distribution lies within one standard deviation D of the mean, what percent of the distribution is less than M+D?

A. 16%
B. 32%
C. 48%
D. 84%
E. 92%
Senior Manager
Joined: 14 Jul 2005
Posts: 402
Followers: 1

Kudos [?]: 12 [0], given: 0

D 84%

the distribution about the center is 34% (M-D) and 34% (M+D). Hence total percentage of distribution less than M+D will be 16+34+34 = 84%
VP
Joined: 15 Jul 2004
Posts: 1473
Schools: Wharton (R2 - submitted); HBS (R2 - submitted); IIMA (admitted for 1 year PGPX)
Followers: 17

Kudos [?]: 116 [0], given: 13

Re: Population [#permalink]  23 Oct 2006, 09:52
girikorat wrote:
A certain characteristic in a large population has a distribution that is symmetric about the mean M. If 68 percent of the distribution lies within one standard deviation D of the mean, what percent of the distribution is less than M+D?

A. 16%
B. 32%
C. 48%
D. 84%
E. 92%

One more D ---- 32% is outside the two D range (one D on either side of the mean each). This leaves only 16% OUTSIDE the M+D range. Hence 84% is inside .. ... I just gave the workings to show an alternative way.
Re: Population   [#permalink] 23 Oct 2006, 09:52
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