The mean wages of a group of 100workers is ruppes350. The mean wages of 20 lowest paid workers is ruppes 50 and 10 highest paid is rupees 500 . Find the average wage of the other 70 workers .
Answers
Answer:
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Step-by-step explanation:
Calculation for mean
Class Mid value (x) frequency
f y=
50
x−325
fy
100-150 125 4 -4 -16
150-200 175 8 -3 -24
200-250 225 14 -2 -28
250-300 275 42 -1 -42
300-350 325 50 0 0
350-400 375 40 1 40
400-450 425 32 2 64
450-500 475 6 3 18
500-550 525 4 4 16
N=200 ∑fy=138−110=28
Mean(
x
ˉ
)=A+
N
∑fy
×d
=325+
200
28
×50
=325+7
=Rs332
The average of 70 workers wages = 414.285 (approx)
Given:
The mean wages of a group of 100 workers is Rs.350
The mean wages of 20 lowest paid workers is Rs. 50
The mean wages of 10 highest paid is Rs. 500
To find:
The average of wage of the other 70 workers
Solution:
As we know
Average = Sum of wages / number of wages
⇒ Sum of the wages = Average × number of wages
Given
The mean wages of a group of 100 workers is Rs.350
Sum of 100 worker wages = 350 Rs × 100 = 35000 Rs
The mean wages of 20 lowest paid workers is Rs.50
⇒ Sum of 20 workers wages = Rs.50 × 20 = 1000 Rs
The mean wages of 10 highest paid is Rs. 500
⇒ Sum of 10 workers wages = 500 Rs. × 10 = 5000 Rs
From above data,
Sum of remaining workers wages
= Sum of 100 worker wages - sum of 10 and 20 workers wages
= 35000 Rs - 1000 Rs - 5000 Rs = 29000 Rs
Average of 70 workers wages = Sum of wages / 70
= 29000/70 = 414.285
The average of 70 workers wages = 414.285 (approx)
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