Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-$\begin{array} { l l l l l l l } 40 & 20 & 37 & 20 & 17 & 49 & 72 \end{array}$
A) 37
B) $19.8$
C) $9289.3$
D) 11,643

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean of the data: $(40 + 20 + 37 + 20 + 17 + 49 + 72) / 7 = 255 / 7 = 36.43$. Then, calculate the variance by finding the sum of the squared differences from the mean, divided by the number of data points: $((40-36.43)^2 + (20-36.43)^2 + (37-36.43)^2 + (20-36.43)^2 + (17-36.43)^2 + (49-36.43)^2 + (72-36.43)^2) / 7 = 392.86$. The standard deviation is the square root of the variance: $\sqrt{392.86} \approx 19.8$.

Find the Standard Deviation for the Given Data 40203720174972\begin{array} { l l l l l l l } 40 & 20 & 37 & 20 & 17 & 49 & 72 \end{array}40​20​37​20​17​49​72​

Find the Standard Deviation for the Given Data $\begin{array} { l l l l l l l } 40 & 20 & 37 & 20 & 17 & 49 & 72 \end{array}$