If in the previous question, each worker is given a hike of 10% in wages, how are the mean and standard deviation values affected?

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Solution

Average wage=Rs.200
Hike in wages= $10 %$

Since arithmetic mean is not independent of scale,the mean will also increase by $10 %$

= $\frac{10}{100} \times 200$ =Rs.20

Hence,the new Mean will be

200+20=Rs.220

Standard Deviation is also not independent of scale,hence,the Standard Deviation will also increase by $10 %$ initial Standard Deviation=Rs.40

So, New Standard Deviation=Rs.40+ $10 %$ of 40 =Rs(40+4)
=Rs.44

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If in the previous question, each worker is given a hike of 10% in wages, how are the Mean and Standard Deviation values affected?

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