Given :
Data given : 20 , 12 , 27 , 23 , 18 , 20 , 30 , 26 .
Mean of the data , m = 22 .
To Find :
The mean absolute deviation of given data .
Solution :
We know , mean deviation(M.D) across mean is given by :
[tex]M.D =\dfrac{\text{Sum of absolute value of difference of observation by mean}}{\text{Total number of observations }}\\\\M.D=\dfrac{|20-22|+|12-22|+|27-22|+|23-22|+|18-22|+|20-22|+|30-22|+|26-2|}{8}\\\\M.D=\dfrac{2+10+5+1+4+2+8+4}{8}\\\\M.D=4.5[/tex]Therefore , the mean absolute deviation is 4.5 .
Hence , this is the required solution .
