Find the standard deviation for the given data.
-The manager of a small dry cleaner employs six people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six distances are listed below:
$\begin{array}{llllll}23.7 & 22.9 & 32.1 & 47.9 & 23.0 & 18.8\end{array}$
Round results to two decimal places.
A) 40.00
B) 5293.36
C) 10.65
D) 4726.43

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean of the distances, then calculate the variance by averaging the squared differences from the mean, and finally take the square root of the variance. The result is approximately 10.65.

Find the Standard Deviation for the Given Data 23.722.932.147.923.018.8\begin{array}{llllll}23.7 & 22.9 & 32.1 & 47.9 & 23.0 & 18.8\end{array}23.7​22.9​32.1​47.9​23.0​18.8​

Find the Standard Deviation for the Given Data $\begin{array}{llllll}23.7 & 22.9 & 32.1 & 47.9 & 23.0 & 18.8\end{array}$