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Which of the following contains the interval two standard deviations f

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Which of the following contains the interval two standard deviations f  [#permalink]

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New post 18 Feb 2019, 10:27
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Question Stats:

70% (00:37) correct 30% (01:36) wrong based on 27 sessions

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Which of the following contains the interval two standard deviations from the mean of a set of data with an arithmetic mean of 46 and a standard deviation of 4 ?

A. 38 to 46
B. 38 to 54
C. 42 to 50
D. 44 to 48
E. 46 to 50

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Re: Which of the following contains the interval two standard deviations f  [#permalink]

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New post 18 Feb 2019, 10:34
SajjadAhmad wrote:
Which of the following contains the interval two standard deviations from the mean of a set of data with an arithmetic mean of 46 and a standard deviation of 4 ?

A. 38 to 46
B. 38 to 54
C. 42 to 50
D. 44 to 48
E. 46 to 50



value = mean +2 * sd and mean-2* sd

so value ; 46 + 2*4 and 46-2*4
; 54 and 38
so value would be from 38 to 54 IMO B
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Re: Which of the following contains the interval two standard deviations f  [#permalink]

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New post 27 Apr 2019, 04:36
We are basically asked to calculate the range of two std.dev. around a given mean:

Mean + 2* Std. Dev = 46 + 2*4 = 54 (Upper Limit)
Mean - 2* Std. Dev = 46-2*4 = 38 (Lower Limit)

Hence the range we are looking for extends from 38 to 54.

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Re: Which of the following contains the interval two standard deviations f   [#permalink] 27 Apr 2019, 04:36
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Which of the following contains the interval two standard deviations f

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