Find the standard deviation for the given sample data. Round your answer to one more decimal place than the original data. $$\begin{array} { l l l l l l }
22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3
\end{array}$$
A) 8.35
B) 3999.0
C) 4347.7
D) 36.1

Question

Find the standard deviation for the given sample data. Round your answer to one more decimal place than the original data. $$\begin{array} { l l l l l l } 
22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3
\end{array}$$
A) 8.35
B) 3999.0
C) 4347.7
D) 36.1

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean of the data, then calculate the squared differences from the mean, find the average of those squared differences, and finally take the square root. The correct standard deviation for the given data is approximately 8.35.

Find the Standard Deviation for the Given Sample Data 22.616.136.136.023.820.3\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3\end{array}22.6​16.1​36.1​36.0​23.8​20.3​

Find the Standard Deviation for the Given Sample Data $\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3\end{array}$