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Standard deviation and mean

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by rahulvsd » Sat Nov 05, 2011 6:15 am
The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 43. What is a possible value for the mean of the distribution?

A 46
B 47
C 48
D 49
E 50

[spoiler]OA: E. How?[/spoiler]
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by Anurag@Gurome » Sat Nov 05, 2011 6:17 am
rahulvsd wrote:The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 43. What is a possible value for the mean of the distribution?
SD = 2

--> Mean - 3*SD > 43
--> Mean - 3*2 > 43
--> Mean > 43 + 3*2
--> Mean > 49

The correct answer is E.
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