Average daily wage of 50 workers of a factory was Rs 200 with a Standard Deviation of Rs 40. Each worker is given a raise of Rs 20. What is the new average daily wage and Standard Deviation? Have the wages become more or less uniform?

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Solution

N = 50

= 200

s = 40

So, Total Wages = 200 × 50

= Rs 10,000

Now, increased wage rate = Rs 20

Total raise = 50 × 20 = Rs 1,000

Total Wage after raise = 10,000 + 1,000

=Rs 11,000

= Rs 220

Initial Standard Deviation = Rs 40

So, New Standard Deviation = Rs 40 + Rs 20

= Rs 60

Note: New Standard Deviation will rise by the same amount as the wage of each worker has increased.

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Similar questions

Average daily wage of 50 workers of a factory was Rs. 200. Each worker is given a raise of Rs. 20. What is the new average daily wage?

10

A

30

20

B

15

The daily wages of 40 workers of a factory are given in the following table.

Wages in Rs.	30 – 34	34 – 38	38 – 42	42 – 46	46 – 50	50 – 54
No. of workers	4	7	9	11	6	3

Calculate (i) Mean (ii) Variance and (iii) Standard Deviation of wages and also interpret the findings.

No.of wage earners	Factory A 250	Factory B 200
Average daily wage	Rs.2.00	Rs.2.50

Factory A	Factory B
No. of wage earners $250$ Average daily wage Rs. $2.00$	$200$ Rs. $2.50$

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