Answer
range=62
$s^2=332.4$
$s=18.2$
$s'=15.5$
The estimate is less than the actual standard deviation.
Work Step by Step
range=max-min=62
variance=332.4 (use definition formula)
standard deviation=18.2 (square root of variance)
Use the range rule of thumb to estimate the standard deviation. $s'=\frac{range}{4}=15.5$
The estimate is less than the actual standard deviation.