Question

The following table gives the number of branches and number of plants in the garden of a school.

No. of branches ($x$):	$2$	$3$	$4$	$5$	$6$
No. of plants ($f$):	$49$	$43$	$57$	$38$	$13$

Calculate the average number of branches per plant

Answer 1

No. of branches ($x$)	No. of plants $\left(f\right)$	$fx$
$2$	$49$	$98$
$3$	$43$	$129$
$4$	$57$	$228$
$5$	$38$	$190$
$6$	$13$	$78$
	$\Sigma f=49+43+57+38+13=200$	$\Sigma fx=98+129+228+190+78=723$

average number of branches per plant $\left(\overline{x}\right)=\frac{\Sigma fx}{\Sigma f}=\frac{723}{200}=3.615$

Hence, average number of branches per plant is $\mathrm{3.615.}$