Mathematics · Statistics

Consider two datasets: A = {x1, x2, ..., xn} and B = {λx1, λx2, ..., λxn}, where xi are independent random variables and λ is a positive constant. If rA = σA / ⟨A⟩ and rB = σB / ⟨B⟩ represent the ratio of the standard deviation to the average value for datasets A and B respectively, then how are rA and rB related?