Question

The following distribution gives the daily income of $50$ workers of a factory.

Daily Income (in $Rs$)	$100-120$	$120-140$	$140-160$	$160-180$	$180-200$
Number of workers	$12$	$14$	$8$	$6$	$10$

Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

Answer 1

Converting the given distribution to a less than type cumulative frequency distribution, we get

Daily Income (in $Rs$)	Number of workers
$<120$	$12$
$<140$	$12+14=26$
$<160$	$26+8=34$
$<180$	$34+6=40$
$<200$	$40+10=50$

Let us now plot the points corresponding to the ordered pairs $(120,12),(140,26),(160,34),(180,40)$ and $(200,50)$ on graph paper and join them by a free hand smooth curve.