Question

The following table shows the daily wages of workers in a factory:

Daily wages in (₹)	0 – 100	100 – 200	200 – 300	300 – 400	400 – 500
Number of workers	40	32	48	22	8

Find the median daily wage income of the workers.

 

Answer 1

Now, N = 150

⇒ \(\frac{N}2\) = 75.

The cumulative frequency just greater than 75 is 120 and the corresponding class is 200 – 300. 

Thus, the median class is 200 – 300. 

∴ l = 200, h = 100, f = 48, cf = c.f. of preceding class = 72 and \(\frac{N}2\) = 75. 

Now,

= 200 + 6.25 

= 206.25 

Hence, the median daily wage income of the workers is Rs 206.25.