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

[VJesus12]

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

[deloitte247]

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

[swerve]

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