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?
Solution
| 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`
