Chapter 8.4, Problem 68E

To determine

To calculate: The percentage of states and compare it with actual percentage of states with aging population within two standard deviations of the mean for the year $2000$ and also determine whether Chebyshev's rule can be applied or not if the list showing the percentage of aging population (residents of age $65$ and older) in $50$ states for the year $2000$ is as follows:

$2000:$

$\begin{array}{l}6,9,10,10,10,11,11,11,11,11,11,11,12,\\ 12,12,12,12,12,12,12,12,12,12,13,13,13,\\ 13,13,13,13,13,13,13,13,13,13,13,14,14,\\ 14,14,14,14,14,15,15,15,15,16,18\end{array}$