If all observations in a sample, x1 , x2, .•• , xn' are replaced by Yi = axi + b show that (a) y = a.X + b. (b) If x(l)' x( 2 )' ••• , x(n) are the ordered xi values with median m = x((n+l)/2 ) (n...

If all observations in a sample, x1 , x2, .•• , xn' are replaced

by Yi = axi + b show that

(a) y = a.X + b.

(b) If x(l)' x( 2 )' ••• , x(n) are the ordered xi values with

median m = x((n+l)/2 ) (n assumed odd), then the median of the

y(i) values is ax((n+l)/2 ) + b.