Question

The daily wages (in rupees) of $100$ workers in a factory are given below

Daily wages (in Rs.)	$125$	$130$	$135$	$140$	$145$	$150$	$160$	$180$
No. of workers	$6$	$20$	$24$	$28$	$15$	$4$	$2$	$1$

Find the median wages of a worker (in the nearest integer value).

Answer 1

Daily wages (in Rs.)	No. of workes	Cumulative frequency
125	6	6
130	20	26
135	24	50
140	28	78
145	15	93
150	4	97
160	2	99
180	1	100

N $=100$ (even)

Median $=\frac{{\left(\frac{N}{2}\right)}^{th}observation+{(\frac{N}{2}+1)}^{th}observation}{2}$

Median $=\frac{{50}^{th}observation+{51}^{st}observation}{2}=\frac{135+140}{2}=137.50$

$\therefore$ Median wages of a workers in the factory is Rs.$137.50$.