Approximate the Variance and Standard Deviation of a Variable from Grouped

Multiple Choice

Approximate the Variance and Standard Deviation of a Variable from Grouped Data
-For the following data set, approximate the sample standard deviation of distances from work (in miles) . $\begin{array}{c|c}\text { Distance(miles) } & \text { Frequency } \\\hline 8-11 & 15 \\12-15 & 21 \\16-19 & 36 \\20-23 & 39 \\24-27 & 23\end{array}$

A) $4.9$ miles
B) $24.5$ miles
C) $5.2$ miles
D) $24.3$ miles