The table below details the cumulative frequency distribution of the masses, in $\text{kg}$ , of $80$ agricultural packages recorded during an export inspection:
Mass Boundary ( $\text{kg}$ ) Cumulative Frequency
$\leq 19.5$ $8$
$\leq 29.5$ $24$
$\leq 39.5$ $52$
$\leq 49.5$ $72$
$\leq 59.5$ $80$
Using linear interpolation on the cumulative frequency data, determine the interquartile range of the package masses in $\text{kg}$ .

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The table below details the cumulative frequency distribution of the masses, in $\text{kg}$ , of $80$ agricultural packages recorded during an export inspection:

Mass Boundary ( $\text{kg}$ )	Cumulative Frequency
$\leq 19.5$	$8$
$\leq 29.5$	$24$
$\leq 39.5$	$52$
$\leq 49.5$	$72$
$\leq 59.5$	$80$

Using linear interpolation on the cumulative frequency data, determine the interquartile range of the package masses in $\text{kg}$ .

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16.5

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