A-linear-function-f-x-ax-b-transforms-X-1-2-3-5-9-11-into-Y-so-that-f-5-13-and-f-1-5-Calculate-the-mean-and-Variance-of-X-and-Y-

Tinku Tara June 4, 2023 Others 0 Comments

Question Number 42330 by Rio Michael last updated on 23/Aug/18

A linear function f(x)=ax + b transforms X={1,2,3,5,9,11} into Y,so that f(5)=13 and f(1)=5 Calculate the mean and Variance of X and Y.

$${A}\:{linear}\:{function}\:{f}\left({x}\right)={ax}\:+\:{b}\:{transforms}\:{X}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{5},\mathrm{9},\mathrm{11}\right\} \\ $$$${into}\:{Y},{so}\:{that}\:{f}\left(\mathrm{5}\right)=\mathrm{13}\:{and}\:{f}\left(\mathrm{1}\right)=\mathrm{5} \\ $$$${Calculate}\:{the}\:{mean}\:{and}\:{Variance}\:{of}\:{X}\:{and}\:{Y}. \\ $$

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A-linear-function-f-x-ax-b-transforms-X-1-2-3-5-9-11-into-Y-so-that-f-5-13-and-f-1-5-Calculate-the-mean-and-Variance-of-X-and-Y-

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