Question

From the data given below, calculate the mean wage, correct to the nearest rupee.

Category	A	B	C	D	E	F
Wages (Rs/day)	50	60	70	80	90	100
No. of workers	2	4	8	12	10	6

1. If the number of workers in each category is doubled, what would be the new mean wage? 
2. If the wages per day in each category are increased by 60%; what is the new mean wage? 
3. If the number of workers in each category is doubled and the wages per day per worker are reduced by 40%, what would be the new mean wage?

Answer 1

Wages (Rs/day) (x)	No. of Workers (f)	fx
50	2	100
60	4	240
70	8	560
80	12	960
90	10	900
100	6	600
Total	42	3360

`barx = (sumfx)/(sumf)`

= `3360/42`

= 80  

i. Mean remains the same if the number of workers in each category is doubled

Mean = 80 

ii. Mean will be increased by 60% if the wages per day per worker is  increased by 60%

New mean = `80 xx 160/100 = 128` 

iii. No change in the mean if the number of workers is doubled but if wages per worker is reduced by 40%, then

New mean = `80 xx 60/100 = 48`