Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in m)are listed below. Compute the standard deviation. $\begin{array} { l l l l l l l } 0.45 & 0.558 & 0.644 & 0.145 & 0.627 & 0.268 & 0.294 \end{array}$
A) $1.2737 \mathrm {~m}$
B) $1.5010 \mathrm {~m}$
C) $0.1946 \mathrm {~m}$
D) $0.145 \mathrm {~m}$

Question

Quizplus · Accepted Answer

To find the standard deviation, first calculate the mean of the data, then find the squared differences from the mean, sum those, divide by the number of data points, and finally take the square root. The mean (average) of the data is $ \frac{0.45 + 0.558 + 0.644 + 0.145 + 0.627 + 0.268 + 0.294}{7} = 0.426 $. The squared differences from the mean, their sum, and the square root of their average lead to a standard deviation of approximately $0.1946 \mathrm {~m}$, rounded to one more decimal place than the original data.

Find the Standard Deviation for the Given Data 0.450.5580.6440.1450.6270.2680.294\begin{array} { l l l l l l l } 0.45 & 0.558 & 0.644 & 0.145 & 0.627 & 0.268 & 0.294 \end{array}0.45​0.558​0.644​0.145​0.627​0.268​0.294​

Find the Standard Deviation for the Given Data $\begin{array} { l l l l l l l } 0.45 & 0.558 & 0.644 & 0.145 & 0.627 & 0.268 & 0.294 \end{array}$