Answer:
2.8
Step-by-step explanation:
The given data set is;
6, 12, 10, 9, 8, 6, 2, 4, 8, 15
The mean of this set is;
[tex]\bar X=\frac{\sum x}{n}[/tex]
[tex]\bar X=\frac{6+12+10+9+8+6+2+4+8+15}{10}[/tex]
[tex]\bar X=\frac{80}{10}=8[/tex]
The mean absolute deviation is given by
[tex]M.A.D=\frac{\sum |x-\bar X|}{n}[/tex]
[tex]M.A.D=\frac{|6-8|+|12-8|+|10-8|+|9-8|+|8-8|+|6-8|+|2-8|+|4-8|+|8-8|+|15-8|}{10}[/tex]
[tex]M.A.D=\frac{2+4+2+1+0+2+6+4+0+7}{10}[/tex]
[tex]M.A.D=\frac{28}{10}[/tex]
[tex]M.A.D=2.8[/tex]
