Old folks Here is a stem plot of the percent of residents aged $65$ and older in the$50$states:

(a) Find and interpret the percentile for Colorado, which has $10.1\%$of its residents aged $65$or older.

(b) Find and interpret the percentile for Rhode Island, with $13.9\%$of residents aged $65$or older.

(c) Which of these two states is more unusual? Explain.

$10.1\%$ of the residents of Colorado are aged $65$ or older.

$Key=1512$ means $15.2\%$ of this state $sresidentsare65$ ′ or older.

The formula used $z=\frac{x-mean}{s\tan darddeviation}$

Only four of the$50$states ($7.0\%$, $8.8\%$, $9.8\%$, and $10.0\%$) had residents aged $65$and older below $10\%$, according to the stem plot. Colorado's percentile is calculated as follows: $\frac{4}{50}=0.08=8\%$

As a result, just $8\%$ of states have residents aged $65$ and more who make up less than $110.1\%$ of the population.

$13.9\%$ of the residents of Rhode Island are aged $65$ or older.

$Key=1512$ means $15.2\%$ of this state $sresidentsare65\prime$or older

The stem plot shows that $40$ of the $50$ states had residents aged $65$ and older who are below the $13.9$ percentile for Rhode Island, which is calculated as follows: $\frac{40}{50}=0.80=80\%$

As a result, Rhode Island is in the 80th percentile, with less than $13.9\%$ of individuals$65$ and older. In other words, $80\%$ of states with citizens aged 65 and up have a population of less than 13.9 percent.

Therefore, $80\%$ of the states having residents aged $80\%$65 and older below $13.9\%$

Colorado is the only state with a lower percentage of residents aged $65$ and over, accounting for only$8\%$ of the states. Rhode Island has a value that is closer to the middle of the distribution, with $80\%$ of the population being smaller and $20\%$ being larger. Therefore, Colorado is the more unusual state