Question

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

Answer 1

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)