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# In the country of Dilandia, adult female height follows a no

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In the country of Dilandia, adult female height follows a no [#permalink]  02 Dec 2018, 03:08
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Question Stats:

100% (00:41) correct 0% (00:00) wrong based on 12 sessions
In the country of Dilandia, adult female height follows a normal distribution, with a mean of 170 cm and a standard deviation of 12 cm. What percent of the adult females in Dilandia are taller than 182 cm?

A. 6%

B. 16%

C. 25%

D. 34%

E. 44%
[Reveal] Spoiler: OA

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Intern
Joined: 30 Nov 2018
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GRE 1: Q164 V164
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Kudos [?]: 8 [0], given: 12

Re: In the country of Dilandia, adult female height follows a no [#permalink]  03 Dec 2018, 04:55
Solution: the data within one standard deviation from the mean in both sides is 2/3, that means half of it is 1/3; plus we know all of the data to the left of the mean
is 0.5 so the final answer is calculated from

x + 1/3 + 0.5 = 1
x = 1 - 0.5 - 1/3
x =~ 16%
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Kudos [?]: 12 [0], given: 53

Re: In the country of Dilandia, adult female height follows a no [#permalink]  03 Dec 2018, 05:40
Another version(without the fractions)...please correct me if am wrong.

M + S on the distribution equals to = 50% + 34% = 84%

M + S = 170+12 = 182 cm

Taller than 182 cm would be the balance 16%
Re: In the country of Dilandia, adult female height follows a no   [#permalink] 03 Dec 2018, 05:40
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# In the country of Dilandia, adult female height follows a no

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