Approximate the Variance and Standard Deviation of a Variable from Grouped Data
-For the following data set, approximate the sample standard deviation of commuting times per day. $\begin{array}{c|c}
\text { Commute (in min) } & \text { Frequency } \
\hline 50-52 & 5 \
53-55 & 8 \
56-58 & 12 \
59-61 & 13 \
62-64 & 11
\end{array}$

A) $3.9 \mathrm {~min}$
B) $6.6 \mathrm {~min}$
C) $2.5 \mathrm {~min}$
D) $55.7 \mathrm {~min}$

Question

Approximate the Variance and Standard Deviation of a Variable from Grouped Data
-For the following data set, approximate the sample standard deviation of commuting times per day. $\begin{array}{c|c}
\text { Commute (in min) } & \text { Frequency } \
\hline 50-52 & 5 \
53-55 & 8 \
56-58 & 12 \
59-61 & 13 \
62-64 & 11
\end{array}$

A) $3.9 \mathrm {~min}$
B) $6.6 \mathrm {~min}$
C) $2.5 \mathrm {~min}$
D) $55.7 \mathrm {~min}$

Quizplus · Accepted Answer

The sample variance is approximately 15.2 and the sample standard deviation is approximately 3.9.