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

If in the previous question, each worker is given a hike of 10% in wag

1.	If in the previous question, each worker is given a hike of 10% in wages, how are the mean and standard deviation values affected?
Answer» Solution :[Suppose the wage of ith worker s `x_(1)`. Now, each worker is GIVEN a hike of 10 in wages, NEW wage of the ith worker will be: New wage=`x_(1)+10% "of" x_(i)` `=x_(1)+(10)/(100)xxx_(i)` `=(100x_(i)+10x_(i))/(100)=(110x_(i))/(100)` ltbrge 1.1`x_(i)` Thus, each observation of ith worker is multiplied by 1.1. Since it is case of change of SCALE, new mean and STANDARD deviation will be: New`barX="Old "barXxx1.1` `=200xx1.1` =220 while, New`sigma="Old "sigmaxx1.1` `=40xx1.1` =44 `:.` New mean =220 New standard deviation=44.]