91Ó°ÊÓ

The formula used:$z=\frac{x−\mathrm{μ}}{\mathrm{σ}}$

M's annual compensation was $\$1,400,000$in $2008$. M's income is at the percentile since there are $14$salaries that are smaller than his:

$$\begin{gathered} Percentile=\frac{14}{29} \\ ≈0.4828 \\ =48.28\% \end{gathered}$$

This means that M's salary is $48.28\%$less than that of the World Champion $2008$Philadelphia Phillies baseball team. It's worth noting that, because M's income was the median, we may argue that his percentile would be $50\%$

The following is the standardized

$z=\frac{x−\mathrm{μ}}{\mathrm{σ}}$

salary score for M:

$$\begin{gathered} =\frac{1,400,000−3,388,617}{3,767,484} \\ ≈−0.53 \end{gathered}$$

Because M's percentile was $50\%$, he had a typical income relative to the rest of the team, but because his z-score was negative, suggesting a salary below the mean team salary, several players made significantly more than he did.

Therefore $48.28\%$of players' salary on the World Champion 2008 Philadelphia Phillies baseball team is less than M's salary and the percentile was $50\%$