What is the mean absolute deviation (MAD) of the data set?
Accepted Solution
A:
Answer:[tex]\frac{16}{5}[/tex]Step-by-step explanation:The formula for MAD is attached in the pic below.X_i are all the x valuesx bar is the mean (sum of all the numbers divided by the number of numbers)n is the number of numbersBasically, we subtract the mean (x bar) from each of the values and take the absolute value of it and SUM all of them. Then we divide by the number of numbers.Thus, mean = [tex]\frac{2+6+8+12+12}{5}=\frac{40}{5}=8[/tex]Now, [tex]\frac{|2-8|+|6-8|+|8-8|+|12-8|+|12-8|}{5}\\=\frac{6+2+0+4+4}{5}\\=\frac{16}{5}[/tex]The MAD is [tex]\frac{16}{5}[/tex]