(08.06)The following data show the height, in inches, of 11 different plants in a garden: 9 4 10 9 5 2 22 10 3 3 5 After removing the outlier, what does the mean absolute deviation of this data set represent?

Answer: The mean absolute deviation of this data is 4.13 inches.
Step-by-step explanation:Let X be the set of the heights of the 11 plants.Then mean of the given data [tex]\bar{x}[/tex]= [tex]\frac{\sum_{i=1}^{n}x_i}{n}\\=\frac{9+4+10+9+5+2+22+10+3+3+5}{11}=7.45\ \text{inches}[/tex]Now make table 1 , thus from table 1 we have ,[tex]\\\sum_{i=1}^{n}|x-x_i|}=45.45[/tex]Mean absolute deviation =[tex]\frac{\sum_{i=1}^{n}|x_i-\bar{x}|}{n}}= [/tex][tex]=\frac{45.45}{11}=4.13\ \text{inches}[/tex]The mean absolute deviation of this data is 4.13 inches.