Find the standard deviation of the data summarized in the given frequency distribution.
-The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency distribution below summarizes the results. Find the standard deviation.
Round your answer to one decimal place. $$\begin{array}{l}
\text { Waiting time Number of }\
\begin{array} { c c }
\text { (minutes) } & \text { customer } \
0 - 3 & 13 \
4 - 7 & 13 \
8 - 11 & 10 \
12 - 15 & 11 \
16 - 19 & 0 \
20 - 23 & 3
\end{array}
\end{array}$$
A) 5.6 min
B) 7.0 min
C) 5.3 min
D) 5.9 min

Question

Find the standard deviation of the data summarized in the given frequency distribution.
-The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency distribution below summarizes the results. Find the standard deviation.
Round your answer to one decimal place. $$\begin{array}{l}
\text { Waiting time Number of }\
\begin{array} { c c } 
\text { (minutes) } & \text { customer } \
0 - 3 & 13 \
4 - 7 & 13 \
8 - 11 & 10 \
12 - 15 & 11 \
16 - 19 & 0 \
20 - 23 & 3
\end{array}
\end{array}$$
A) 5.6 min
B) 7.0 min
C) 5.3 min
D) 5.9 min

Quizplus · Accepted Answer

The standard deviation is 5.6 minutes. The variance is the sum of the squared deviations from the mean divided by the number of data points. The mean is 8.6 minutes. The variance is 31.56 minutes. The standard deviation is the square root of the variance, which is 5.6 minutes.

Find the Standard Deviation of the Data Summarized in the Given