Question

Find the mean wage of a worker from the following data:

Wages (In ₹)	1400	1450	1500	1550	1600	1650	1700
Number of workers	15	20	18	27	15	3	2

Answer 1

Let the assumed mean be A = 1550. Thus

Wages (In ₹) `x_i`	Number of workers `(f_i)`	`d_i = x_i - 1550`	`f_i d_i`
1400	15	-150	-2250
1450	20	-100	-2000
1500	18	-50	-900
A = 1550	27	0	0
1600	15	50	750
1650	3	100	300
1700	2	150	300
	`sumf_i` = 100		`sumf_i d_i = -3800`

∴ Mean Wages = `"A" + (sumf_i d_i)/(sumf_i)`
= `(1,550 - (3,800)/100)`
= 1,550 - 38
= ₹1,512.