Find the standard deviation for the given data. Round your answer to one more decimal place than the original 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:
$$\begin{array} { l l l l l l }
13.2 & 20.8 & 30.8 & 28.4 & 13.9 & 14.2
\end{array}$$
A)7.81 mi
B)2756.9 mi
C)29.6 mi
D)2452.3 mi

Question

Find the standard deviation for the given data. Round your answer to one more decimal place than the original 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:
 $$\begin{array} { l l l l l l } 
13.2 & 20.8 & 30.8 & 28.4 & 13.9 & 14.2
\end{array}$$
A)7.81 mi
B)2756.9 mi
C)29.6 mi
D)2452.3 mi

Quizplus · Accepted Answer

To find the standard deviation, first calculate the mean of the distances: $(13.2 + 20.8 + 30.8 + 28.4 + 13.9 + 14.2) / 6 = 121.3 / 6 = 20.22$ miles. Then, calculate the squared differences from the mean, sum them, divide by the number of observations, and take the square root. The calculation gives a standard deviation of approximately 7.81 miles, rounded to two decimal places as the original data is rounded to one decimal place.

Find the Standard Deviation for the Given Data 13.220.830.828.413.914.2\begin{array} { l l l l l l } 13.2 & 20.8 & 30.8 & 28.4 & 13.9 & 14.2\end{array}13.2​20.8​30.8​28.4​13.9​14.2​

Find the Standard Deviation for the Given Data $\begin{array} { l l l l l l } 13.2 & 20.8 & 30.8 & 28.4 & 13.9 & 14.2\end{array}$