Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below:
$$\begin{array} { l l l l l l l l }
\$ 215 & \$ 228 & \$ 184 & \$ 401 & \$ 359 & \$ 113 & \$ 257 & \$ 244
\end{array}$$
A)$560,101.0
B)$301.5
C)$92.3
D)$500,500.1

Question

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.
-To get the best deal on a CD player, Tom called eight appliance stores and asked the cost of a specific model. The prices he was quoted are listed below:
 $$\begin{array} { l l l l l l l l } 
\$ 215 & \$ 228 & \$ 184 & \$ 401 & \$ 359 & \$ 113 & \$ 257 & \$ 244
\end{array}$$
A)$560,101.0
B)$301.5
C)$92.3
D)$500,500.1

Quizplus · Accepted Answer

To find the standard deviation, first calculate the mean of the data, then find the variance by averaging the squared differences from the mean, and finally take the square root of the variance. The mean of the given prices is $(215 + 228 + 184 + 401 + 359 + 113 + 257 + 244) / 8 = 2001 / 8 = 250.125$. The squared differences from the mean are calculated for each data point, averaged, and then the square root of this average gives the standard deviation. The correct calculation results in a standard deviation of approximately $92.3, rounded to one more decimal place than the original data.

Find the Standard Deviation for the Given Data $215$228$184$401$359$113$257$244\begin{array} { l l l l l l l l } \$ 215 & \$ 228 & \$ 184 & \$ 401 & \$ 359 & \$ 113 & \$ 257 & \$ 244\end{array}$215​$228​$184​$401​$359​$113​$257​$244​

Find the Standard Deviation for the Given Data $\begin{array} { l l l l l l l l } \$ 215 & \$ 228 & \$ 184 & \$ 401 & \$ 359 & \$ 113 & \$ 257 & \$ 244\end{array}$