The accompanying data represent the miles per gallon of a random sample of cars with a three$-$cylinder, $1\mathrm{.}0$ liter engine.

$($a$)$ Compute the $z-$score corresponding to the individual who obtained $38\mathrm{.}5$ miles per gallon. Interpret this result.

$($b$)$ Determine the quartiles.

$($c$)$ Compute and interpret the interquartile range, IQR.

$($d$)$ Determine the lower and upper fences. Are there any outliers?

MPG Data

$\backslash$table$[[32\mathrm{.}3,36\mathrm{.}3,38\mathrm{.}0,38\mathrm{.}6,39\mathrm{.}8,42\mathrm{.}2],[34\mathrm{.}3,36\mathrm{.}4,38\mathrm{.}1,38\mathrm{.}8,40\mathrm{.}6,42\mathrm{.}9],[34\mathrm{.}8,37\mathrm{.}3,38\mathrm{.}3,39\mathrm{.}0,41\mathrm{.}4,43\mathrm{.}4],[35\mathrm{.}5,37\mathrm{.}6,38\mathrm{.}5,39\mathrm{.}5,41\mathrm{.}5,48\mathrm{.}8]]$

this result.

iation$($s$)$