Question

What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth? Data Set 1: {85, 83, 90, 70, 87} Data Set 2: {75, 74, 68, 83, 80}

Answer 1

Here is what I got for the first one. MAD= 1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|) =1/5(|85-83|+|83-83|+|87-83|+|90-83|+|70-83|) =1/5(2+0+4+7+13)) =5.2 And for the second one I got, MAD= 1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|) =1/5(|75-76|+|74-76|+|68-76|+|83-76|+|80-76|) =1/5(1+2+8+7+4)) =4.4