10. From the data, given below, calculate the mean wage, correct to the nearest rupee.(i) If the number of workers in each category is doubled, what would be the new mean wage ?(ii) If the wages per day in each category are increased by 60%; what is the new mean wage ?(iii) If the number of workers in each category is doubled and the wages per day per worker arereduced by 40%; what would be the new mean wage ?
Answers
Given : 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
To Find : . Mean Wage
(i) If the number of workers in each category is doubled, what would be the new mean wage ?
(ii) If the wages per day in each category are increased by 60%; what is the new mean wage ?
(iii) If the number of workers in each category is doubled and the wages per day per worker arereduced by 40%; what would be the new mean wage
Solution:
Wages(Rs/day) No. of workers Wages * workers
50 2 100
60 4 240
70 8 560
80 12 960
90 10 900
100 6 600
Total 42 3360
Mean Wages = 3360/42
= 80
If the number of workers in each category is doubled, what would be the new mean wage
= Mean Wages = 2 * 3360 / ( 2 * 42) = 80
Remains same
(ii) If the wages per day in each category are increased by 60%; what is the new mean wage
Mean Wages = (3360 ( 1 + 60/100) / 42 = 128
iii) 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
Mean Wages = 2 * 3360 ( 1 - 40/100) / ( 2 * 42) = 48
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Answer:
Mean in 4240/50
= 84.8
=~85
i) 4240× 2
= 8480
50× 2
= 100
so new mean, 8480/100
=84.8
=~85
Sorry i dont know the rest but the above ans is wrong in the frist part