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If the mean of a set of data is 27 and the standard deviation is 6, which of the following contains the interval two

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by VJesus12 » Wed Aug 26, 2020 3:28 am

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B

C

D

E

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If the mean of a set of data is 27 and the standard deviation is 6, which of the following contains the interval two standard deviations from the mean?

A. 9 to 15
B. 9 to 21
C. 15 to 39
D. 21 to 33
E. 27 to 37

Answer: C

Source: Princeton Review
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Re: If the mean of a set of data is 27 and the standard deviation is 6, which of the following contains the interval two

by deloitte247 » Sat Aug 29, 2020 12:38 am
Given that mean = 27 and standard deviation = 6
2 standard deviation = 6 * 2 = 12
Least value = 27 - 12 = 15
Greatest value = 27 + 12 = 39
Therefore, the internal of two standard deviation = 15 to 39

Answer = C
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Re: If the mean of a set of data is 27 and the standard deviation is 6, which of the following contains the interval two

by swerve » Sat Aug 29, 2020 5:43 pm
VJesus12 wrote: ↑
Wed Aug 26, 2020 3:28 am
 If the mean of a set of data is 27 and the standard deviation is 6, which of the following contains the interval two standard deviations from the mean?

A. 9 to 15
B. 9 to 21
C. 15 to 39
D. 21 to 33
E. 27 to 37

Answer: C

Source: Princeton Review
The mean \(=27\)
\(2\) standard deviation \(= 12\)

The least value will be \(27-12=15\)
The greatest value will be \(27+12=39\)

Therefore, C
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