To find the MAD
Step 1 : find the mean of the given data
Data : (xi) : 2, 5, 6, 12, 15
Mean = μ = (2 + 5 + 6 + 12 + 15)/5
Mean = μ = 40/5 = 8
Step 2 : find the difference between each data value and the mean
(xi - μ) = (2-8) , (5-8), (6-8), (12-8) , (15-8)
(xi - μ) = -6, -3, -2, 4,7
Take absolute value of each difference
|(xi - μ) | = 6,3,2,4,7
∑|(xi - μ)| = 6 + 3 + 2 + 4 + 7 = 22
MAD of the data set = 1/5∑|(xi - μ)|
MAD of the data set = 22/5
MAD of the data set = 4.4
