Compute the standard deviation of the data sample.
$- 4,3,6,9,14$
Round your answer to two decimal places if necessary.

A)6.73
B) 41.92
C) 22.9
D) 4.79
E) 6.02

Question

Compute the standard deviation of the data sample.  
 $- 4,3,6,9,14$  
Round your answer to two decimal places if necessary.
 
A)6.73
B) 41.92
C) 22.9
D) 4.79
E) 6.02

Quizplus · Accepted Answer

The standard deviation is calculated by first finding the mean of the data, then calculating the squared differences from the mean, averaging those, and finally taking the square root. For the data $-4, 3, 6, 9, 14$, the mean is $5.6$. The squared differences from the mean are $92.16, 6.76, 0.16, 11.56, 70.56$, respectively. The average of these squared differences is $36.24$, and the square root of $36.24$ is approximately $6.02$, which is rounded to $6.02$ when rounded to two decimal places.

Compute the Standard Deviation of the Data Sample −4,3,6,9,14- 4,3,6,9,14−4,3,6,9,14 Round Your Answer to Two Decimal Places If Necessary

Compute the Standard Deviation of the Data Sample $- 4,3,6,9,14$ Round Your Answer to Two Decimal Places If Necessary