Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.
We must first find the mean of the data set:
[tex]\begin{gathered} \bar{x}\text{ = }\frac{6+12+10+9+8+6+2+4+8+15}{10} \\ =\text{ 8} \end{gathered}[/tex]D1 = 6-8 = -2 = 2
D2 = 12-8 = 4
D3 = 10-8 = 2
D4 = 9-8 = 1
D5 = 8-8 = 0
D6 = 6-8 = -2 = 2
D7 = 2-8 = -6 =6
D8 = 4-8 = -4 = 4
D9 = 8-8 = 0
D10 = 15-8 = 7
[tex]\begin{gathered} MAD\text{ = }\frac{2+4+2+1+0+2+6+4+0+7}{10} \\ =2.8 \end{gathered}[/tex]Correct option: MAD = 2.8
