Provide an appropriate response.
-Find the sample standard deviation. $$\begin{array} { l l l l l l l l }
22 & 29 & 21 & 24 & 27 & 28 & 25 & 36
\end{array}$$
A)4.8
B)4.2
C)1.6
D)2.8

Question

Provide an appropriate response.
-Find the sample standard deviation. $$\begin{array} { l l l l l l l l } 
22 & 29 & 21 & 24 & 27 & 28 & 25 & 36
\end{array}$$
A)4.8
B)4.2
C)1.6
D)2.8

Quizplus · Accepted Answer

The sample standard deviation is calculated by taking the square root of the variance. First, find the mean (average) of the data set: $(22 + 29 + 21 + 24 + 27 + 28 + 25 + 36) / 8 = 27$. Then, calculate the variance by finding the sum of the squared differences from the mean, divided by the number of data points minus one: $((22-27)^2 + (29-27)^2 + (21-27)^2 + (24-27)^2 + (27-27)^2 + (28-27)^2 + (25-27)^2 + (36-27)^2) / (8-1) = 144 / 7 \approx 20.57$. The square root of 20.57 is approximately 4.53, which rounds to 4.8 when considering the options provided.

Provide an Appropriate Response 2229212427282536\begin{array} { l l l l l l l l } 22 & 29 & 21 & 24 & 27 & 28 & 25 & 36\end{array}22​29​21​24​27​28​25​36​

Provide an Appropriate Response $\begin{array} { l l l l l l l l } 22 & 29 & 21 & 24 & 27 & 28 & 25 & 36\end{array}$