The following frequency table summarizes the ages of 60 shoppers at the local grocery store. $\begin{array} { c c }
\text { Age of the shopper } & \text { Frequency } \
\hline 15 - 23 & 10 \
24 - 32 & 21 \
33 - 41 & 10 \
42 - 50 & 8 \
51 - 59 & 5 \
60 - 68 & 6
\end{array}$
The sample mean for the above frequency table is calculated as 36.25.Calculate the approximate sample standard deviation for this data set.
A)181.08
B)184.15
C)26.83
D)13.46
E)13.57

Question

The following frequency table summarizes the ages of 60 shoppers at the local grocery store. $\begin{array} { c c } 
\text { Age of the shopper } & \text { Frequency } \
\hline 15 - 23 & 10 \
24 - 32 & 21 \
33 - 41 & 10 \
42 - 50 & 8 \
51 - 59 & 5 \
60 - 68 & 6
\end{array}$
The sample mean for the above frequency table is calculated as 36.25.Calculate the approximate sample standard deviation for this data set.
A)181.08
B)184.15
C)26.83
D)13.46
E)13.57

Quizplus · Accepted Answer

The sample standard deviation is calculated using the formula for grouped data. The approximate standard deviation is 13.57.

The Following Frequency Table Summarizes the Ages of 60 Shoppers