Question

The following distribution gives the daily income of 50 workers if a factory. Convert the distribution above to a less than type cumulative frequency distribution and draw its ogive.

Daily income in Rupees	$100-120$	$120-140$	$140-160$	$160-180$	$180-200$
Number of workers	$12$	$14$	$8$	$6$	$10$

Answer 1

Let's find the cumulative frequency

Daily income	Frequency	Cumulative Frequency
Less than $120$	$12$	$12$
Less than $140$	$14$	$26$
Less than $160$	$8$	$34$
Less than $180$	$6$	$40$
Less than $200$	$10$	$50$

On plotting the points on graphs corresponding to the ordered pairs such as $(120,12),(140,26),(160,34),(180,40)and(200,50)$

the plotted points are joined to get a smooth curve and the obtained curve is known as less than type ogive curve