Answer to Question #95876 in Statistics and Probability for Sana

Question

Calculate the mean deviation and it's coefficient from median for the following.
X: 12 17 18 19 17 16 17 13

Answer 1

Arranged array: 12, 13, 16, 17, 17, 17, 18, 19.

$median=\frac{17+17}{2}=17.$

$M.D.=\frac{1}{n}\sum|x-median|=\frac{1}{8}(5+4+1+0+0+0+1+2)=\\=\frac{13}{8}=1.625.$

$Coefficient\; of \;M.D.=\frac{M.D.}{median}=\frac{13}{136}=0.0956.$