Find the mean absolute deviation of 5,9,7,0,3,5,5

Question

asked May 2, 2022 89.2k views

1 Answer

Amay Kulkarni · Answer 1 · 2022-05-08T07:08:00+0000

Answer: 1.92

Explanation:

Formula to find the mean absolute deviation:

$MAD =\sum^(n=i)_(n=1)\frac{|x_i-\overlien{x}|}{n}$

, where
$\overline{x}=$ mean ,
x_i's = data values, n= number of data values.

Given data: 5,9,7,0,3,5,5

n= 7

Mean:

$\overline{x}=(5+9+7+0+3+5+5)/(7)\\\\=(34)/(7)$

MAD =
$\frac +{7}$

$=(\frac17+(29)/(7)+(15)/(7)+(34)/(7)+(13)/(7)+\frac17+\frac17)/(7)\\\\=((94)/(7))/(7)\\\\=(94)/(49)\approx1.92$

Hence, the mean absolute deviation of 5,9,7,0,3,5,5 is 1.92(approx)