Provide an appropriate response.
-Find the sample standard deviation. $$\begin{array} { l l l l l l l l l l }
2 & 6 & 15 & 9 & 11 & 22 & 1 & 4 & 8 & 19
\end{array}$$
A)7.1
B)6.8
C)2.1
D)6.3

Question

Provide an appropriate response.
-Find the sample standard deviation. $$\begin{array} { l l l l l l l l l l } 
2 & 6 & 15 & 9 & 11 & 22 & 1 & 4 & 8 & 19
\end{array}$$
A)7.1
B)6.8
C)2.1
D)6.3

Quizplus · Accepted Answer

The sample standard deviation is calculated using the formula $\sqrt{\frac{\sum (x_i - \bar{x})^2}{n-1}}$, where $x_i$ are the data points, $\bar{x}$ is the mean of the data, and $n$ is the number of data points. For the given data set, the mean $\bar{x}$ is $9.7$. Calculating the sum of squared deviations from the mean and dividing by $n-1$ (in this case, 9), then taking the square root gives approximately $7.1$, which matches choice A.

Provide an Appropriate Response 26159112214819\begin{array} { l l l l l l l l l l } 2 & 6 & 15 & 9 & 11 & 22 & 1 & 4 & 8 & 19\end{array}2​6​15​9​11​22​1​4​8​19​

Provide an Appropriate Response $\begin{array} { l l l l l l l l l l } 2 & 6 & 15 & 9 & 11 & 22 & 1 & 4 & 8 & 19\end{array}$