How Late Is the 8:15 Bus?

A commuter records how many minutes late her bus arrives on each of $12$ consecutive working days. Rather than writing out all twelve values, she tallies them:

Minutes late ( $x$ )	Number of days ( $f$ )
$0$	$2$
$1$	$4$
$2$	$3$
$3$	$2$
$5$	$1$

Treat these $12$ days as the entire population.

What is the population variance of the delay times?

Answer in $\text{minutes}^2$ , rounded to two decimal places.

How Late Is the 8:15 Bus?

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