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: $\frac{22.6 + 16.1 + 36.1 + 36.0 + 23.8 + 20.3}{6} = 25.8167$. Then, find the squared differences from the mean, sum them, divide by the number of observations minus one (for sample standard deviation), and finally take the square root. Doing this calculation gives a standard deviation of 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 $\begin{array} { l l l l l l } 22.6 & 16.1 & 36.1 & 36.0 & 23.8 & 20.3\end{array}$