In a particular set of data,if you multiply each data value by 3 and then add 5, what effect will this have on the mean and standard deviation of the data set?

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Answer 1 · 2015-05-18T22:44:00

if #Y = a + bX#

then #E(Y) = a + bE(X)#

and #Var(Y) = b^2Var(X)#

Thus if #color(red)(Y = 5 + 3X)#

Then #color(red)( E(Y) = 5 + 3E(X))#

and #color(red)(Var(Y) = 3^2Var(X))#