The average daily wage of 50 workers of a factory was ₹200 with a standard deviation of ₹40. Each worker is gi

Exercises · Q9

Q. The average daily wage of 50 workers of a factory was ₹200 with a standard deviation of ₹40. Each worker is given a raise of ₹20. What is the new average daily wage and standard deviation? Have the wages become more or less uniform?

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New mean = ₹220, new S.D. = ₹40 (unchanged). C.V. falls from 20% to 18.18%, so wages are more uniform.

New average. Adding ₹20 to every wage raises the mean by ₹20: new average $= 200 + 20 = ₹220$ .

New standard deviation. Standard deviation is independent of origin — adding the same constant to every value does not change the deviations from the mean, so the standard deviation stays at ₹40. …

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Q.The average daily wage of 50 workers of a factory was ₹200 with a standard deviation of ₹40. Each worker is given a raise of ₹20. What is the new average daily wage and standard deviation? Have the wages become more or less uniform?

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