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Find the average distance of each data value in the set from the mean.$\newline$$1$. Numbers of marbles in a bag: $25,42,61,33,45,50,34,42$$\newline$$2$. Square footages of homes: $2052,1250,2200,1856,1442$$\newline$Find and interpret the mean absolute deviation of the data. Round your answer to the nearest tenth, if necessary.$\newline$$3$. Numbers of Squares in a$\newline$$4$.$\newline$\begin{tabular}{|c|c|c|c|}$\newline$\hline \multicolumn{$4$}{|c|}{\begin{tabular}{c} $\newline$Numbers of Desks in a \\$\newline$Classroom$\newline$\end{tabular}} \\$\newline$\hline $25$ & $25$ & $25$ & $25$ \\$\newline$\hline $25$ & $25$ & $25$ & $25$ \\$\newline$\hline$\newline$\end{tabular}$\newline$$5$.$\newline$\begin{tabular}{|c|c|l|l|}$\newline$\hline \multicolumn{$4$}{|c|}{\begin{tabular}{c} $\newline$Heights of Bleachers \\$\newline$(feet)$\newline$\end{tabular}} \\$\newline$\hline $110$ & $105$.$4$ & $97$.$8$ & $100$ \\$\newline$\hline $98$.$6$ & $112$.$5$ & $104$.$6$ & $99$.$1$ \\$\newline$\hline$\newline$\end{tabular}$\newline$$6$.$\newline$\begin{tabular}{|l|l|l|l|}$\newline$\hline \multicolumn{$4$}{|c|}{\begin{tabular}{c} $\newline$Weights of Wrestlers \\$\newline$(pounds)$\newline$\end{tabular}} \\$\newline$\hline $131$.$4$ & $130$.$7$ & $131$.$2$ & $131$.$8$ \\$\newline$\hline $130$.$6$ & $131$.$9$ & $130$.$1$ & $129$.$5$ \\$\newline$\hline$\newline$\end{tabular}$\newline$$7$. The data shows the prices of five shirts and five pairs of pants.$\newline$Shirts: $\$ 15, \$ 21, \$ 18, \$ 19, \$ 24$$\newline$Pants: $\$ 25, \$ 32, \$ 40, \$ 36, \$ 29$$\newline$Find the MAD of each data set. Then compare their variations.$\newline$$8$. Add or subtract the MAD from the mean in the data set in Exercise $5$ .$\newline$a. What percent of the values are within one MAD of the mean?$\newline$b. What percent of the values are within two MADs of the mean?$\newline$c. Which values are more than twice the MAD from the mean?$\newline$d. Find the range and interquartile range for the data set. Use these values to give a possible explanation for the answer to part (b).