Question:

Let x = (x1, . .., In) be a data set, and denote its sample standard deviation with Sx. Let yi = axi + b. (a) Show that sy = lasx, where sy is the sample standard deviation of y = (y1, . .., yn). (b) Show that Median(y) = a . Median(x) + b. (c) If a > 0, can you write the relation between Q1(y) and Q1(x)? What happens if a