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A certain characteristic in a large population has a distribution that

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Math Revolution GMAT Instructor
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A certain characteristic in a large population has a distribution that  [#permalink]

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New post 30 Mar 2016, 00:27
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Question Stats:

85% (01:44) correct 15% (01:52) wrong based on 89 sessions

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A certain characteristic in a large population has a distribution that is symmetric about the mean m. 68 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 9.6 years and the standard deviation is 2.1 years, what percent of the distribution has more than 11.7 years as a shelf’s average life?

A. 10%
B. 12%
C. 14%
D. 16%
E. 18%


* A solution will be posted in two days.

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Re: A certain characteristic in a large population has a distribution that  [#permalink]

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New post 30 Mar 2016, 11:26
3
1
Average = 9.6
SD = 2.1

9.6 - 2.1 < 68% of distribution < 9.6 + 2.1
7.5 < 68% of distribution < 11.7

32% is outside this range.

Given: Distribution is symmetric. So 16% of distribution is less than 7.5 and the other 16% of distribution is greater than 11.7.

Answer: D

P.S: This question is similar to OG question: a-certain-characteristic-in-a-large-population-has-a-143982.html
Math Revolution GMAT Instructor
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Re: A certain characteristic in a large population has a distribution that  [#permalink]

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New post 03 Apr 2016, 02:45
1
A certain characteristic in a large population has a distribution that is symmetric about the mean m. 68 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 9.6 years and the standard deviation is 2.1 years, what percent of the distribution has more than 11.7 years as a shelf’s average life?

A. 10%
B. 12%
C. 14%
D. 16%
E. 18%

Attachment:
Standard normal distribution.jpg
Standard normal distribution.jpg [ 17.18 KiB | Viewed 1628 times ]

Like the above picture, what is bigger than 11.7 is 0.16=16%.
Thus, D is the answer.
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Re: A certain characteristic in a large population has a distribution that  [#permalink]

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New post 03 Apr 2016, 11:34
MathRevolution wrote:
A certain characteristic in a large population has a distribution that is symmetric about the mean m. 68 percent of the distribution lies within one standard deviation d of the mean. If the shelf’s average life is 9.6 years and the standard deviation is 2.1 years, what percent of the distribution has more than 11.7 years as a shelf’s average life?

A. 10%
B. 12%
C. 14%
D. 16%
E. 18%


* A solution will be posted in two days.


Similar question to practice: a-certain-characteristic-in-a-large-population-has-a-143982.html
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Re: A certain characteristic in a large population has a distribution that  [#permalink]

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New post 20 Nov 2018, 08:53
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Re: A certain characteristic in a large population has a distribution that   [#permalink] 20 Nov 2018, 08:53
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