Let x 1 , x 2 , ……x n be values taken by a variable X and y 1 , y 2 , …….y n be the values taken by a variable Y such that y i = ax i + b, i = 1,2, …….,, n. Then,

Question

Philoid · Accepted Answer

we have given, y_i=ax_i+b

Mean (Y) =

Mean (y) =

Then, Var(Y) =

And, Var(X) =

Hence, Var(Y) = a² Var(X)

Let x1, x2, ……xn be values taken by a variable X and y1, y2, …….yn be the values taken by a variable Y such that yi = axi + b, i = 1,2, …….,, n. Then,

Let x₁, x₂, ……x_n be values taken by a variable X and y₁, y₂, …….y_n be the values taken by a variable Y such that y_i = ax_i + b, i = 1,2, …….,, n. Then,