Calculate the sample variance and sample standard deviation for the following frequency distribution of heights in centimeters for a sample of $8-$year$-$old boys. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

Heights in Centimeters

Class Frequency

$116\mathrm{.}6-120\mathrm{.}4$

$41$

$120\mathrm{.}5-124\mathrm{.}3$

$15$

$124\mathrm{.}4-128\mathrm{.}2$

$17$

$128\mathrm{.}3-132\mathrm{.}1$

$38$

$132\mathrm{.}2-136\mathrm{.}0$

$45$