Question

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

 

category	A	B	C	D	E	F
Wages (Rs,day)(x)	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 incresed  by 60% what is the new mean wages? 

(3) If the number of workers in each caategory is doubled is and the wages per day 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=(Σ fx)/(∑ f) =3360/42=80`  

(1) Mean remains the same if the number  of workers in each category is doubled 

Mean =80 

(2) Mean will be inceased by  60% if the wages per day worker is  increased by 60% 

New mean =`80xx160/100=128` 

(3) No change in the mean if the number of workers is doubled but if wages per workes  is reduced by 40%, then 

New mean=`80xx60/100=48`