Question

The following distribution gives the number of accidents met by 160 workers in a factory during a month.

No. of accidents ($x$):	$0$	$1$	$2$	$3$	$4$
No. of workers ($f$):	$70$	$52$	$34$	$3$	$1$

Find the average number of accidents per worker.

Answer 1

No. of accidents (x)	No. of workers (f)	fx
0	70	0
1	52	52
2	34	68
3	3	9
4	1	4
	$\Sigma f=160$	$\Sigma fx=133$

We know that, by direct method, the average or mean $\left(\overline{x}\right)=\frac{\Sigma fx}{\Sigma f}$

$\therefore$ Average number of accidents per worker $=\frac{133}{160}$

$=0.83$

Hence, the average number of accidents per worker is $\mathrm{0.83.}$