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. $\begin{array}{|l|l|l|}
\hline \begin{array}{l}
\text { Mortgage as a } \
\text { percentage of } \
\text { household income in } \
\text { Aponia }
\end{array} & & \
\hline \text { Group in \% } & \text { Percentage } & \begin{array}{l}
\text { Number of } \
\text { households f) }
\end{array} \
\hline 0-10 & 5 & 4567 \
\hline 10-20 & 15 & 6562 \
\hline 20-30 & 25 & 3356 \
\hline 30-40 & 35 & 2975 \
\hline 40-50 & 45 & 1644 \
\hline 50-60 & 55 & 1376 \
\hline
\end{array}$

Question

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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. $\begin{array}{|l|l|l|}
\hline \begin{array}{l}
\text { Mortgage as a } \
\text { percentage of } \
\text { household income in } \
\text { Aponia }
\end{array} & & \
\hline \text { Group in \% } & \text { Percentage } & \begin{array}{l}
\text { Number of } \
\text { households f) }
\end{array} \
\hline 0-10 & 5 & 4567 \
\hline 10-20 & 15 & 6562 \
\hline 20-30 & 25 & 3356 \
\hline 30-40 & 35 & 2975 \
\hline 40-50 & 45 & 1644 \
\hline 50-60 & 55 & 1376 \
\hline
\end{array}$

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