The following table lists the amounts paid in mortgages as a percentage of the household income in the town Aponia. Calculate the variance and standard deviation of the data, if mean is given as 22.4%. The percentage (x) values are estimated as midpoints of each percentage range. $$\begin{array} { | l | l | l | }
\hline \begin{array} { l }
\text { Mortgage as a } \
\text { percentage of } \
\text { household income in } \
\text { Aponia }
\end{array} & & \
\hline \text { Group in \% } & \begin{array} { l }
\text { Percentage } \
\text { (x) }
\end{array} & \begin{array} { l }
\text { Number of } \
\text { households (f) }
\end{array} \
\hline 0 - 10 & 5 & 4567 \
\hline 10 - 20 & 15 & 6562 \
\hline 20 - 30 & 25 & 3356 \
\hline 30 - 40 & 35 & 2975 \
\hline 40 - 50 & 45 & 1644 \
\hline 50 - 60 & 55 & 1376 \
\hline
\end{array}$$

Question

The following table lists the amounts paid in mortgages as a percentage of the household income in the town Aponia. Calculate the variance and standard deviation of the data, if mean is given as 22.4%. The percentage (x) values are estimated as midpoints of each percentage range. $$\begin{array} { | l | l | l | } 
\hline \begin{array} { l } 
\text { Mortgage as a } \
\text { percentage of } \
\text { household income in } \
\text { Aponia }
\end{array} & & \
\hline \text { Group in \% } & \begin{array} { l } 
\text { Percentage } \
\text { (x) }
\end{array} & \begin{array} { l } 
\text { Number of } \
\text { households (f) }
\end{array} \
\hline 0 - 10 & 5 & 4567 \
\hline 10 - 20 & 15 & 6562 \
\hline 20 - 30 & 25 & 3356 \
\hline 30 - 40 & 35 & 2975 \
\hline 40 - 50 & 45 & 1644 \
\hline 50 - 60 & 55 & 1376 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The Answer of The following table lists the amounts paid in mortgages as a percentage of the household income in the town Aponia. Calculate the variance and standard deviation of the data, if mean is given as 22.4%. The percentage (x) values are estimated as midpoints of each percentage range. $$\begin{array} { | l | l | l | } 
\hline \begin{array} { l } 
\text { Mortgage as a } \
\text { percentage of } \
\text { household income in } \
\text { Aponia }
\end{array} & & \
\hline \text { Group in \% } & \begin{array} { l } 
\text { Percentage } \
\text { (x) }
\end{array} & \begin{array} { l } 
\text { Number of } \
\text { households (f) }
\end{array} \
\hline 0 - 10 & 5 & 4567 \
\hline 10 - 20 & 15 & 6562 \
\hline 20 - 30 & 25 & 3356 \
\hline 30 - 40 & 35 & 2975 \
\hline 40 - 50 & 45 & 1644 \
\hline 50 - 60 & 55 & 1376 \
\hline
\end{array}$$

The Following Table Lists the Amounts Paid in Mortgages as a Percentage