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13 Mar 2017, 01:31
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B
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Difficulty:
15%
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Question Stats:
77% (00:40) correct
23%
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wrong
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The arithmetic mean of a data set is 46 and the standard deviation of the set is 4. Which of the following contains the interval two standard deviations from the mean of the set?
(A) 38 to 46
(B) 38 to 54
(C) 42 to 50
(D) 44 to 48
(E) 46 to 50
(A) 38 to 46
(B) 38 to 54
(C) 42 to 50
(D) 44 to 48
(E) 46 to 50
13 Mar 2017, 06:31
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Mean 46
SD = 4
We need to find the interval which lies within 2 SDs of the mean value. That is on either side of the mean, we need to find the extremes which are 2 SDs away from the mean.
2 SDs = 4*2=8
Left extreme = 46 - 2*SD = 46-8=38
Right extreme = 46+2*SD = 46+8 = 54
Hence the interval is 38 to 54. Answer B
SD = 4
We need to find the interval which lies within 2 SDs of the mean value. That is on either side of the mean, we need to find the extremes which are 2 SDs away from the mean.
2 SDs = 4*2=8
Left extreme = 46 - 2*SD = 46-8=38
Right extreme = 46+2*SD = 46+8 = 54
Hence the interval is 38 to 54. Answer B
