Mean Absolute Deviation M . A. D. Mean Absolute Deviation MAD
3, 7, 7, 4, 6, 9 Step 1: Take the MEAN! 3+7+7+4+6+9 = 36 ÷ 6 = 6 M. A. D. 3, 7, 7, 4, 6, 9 Step 1: Take the MEAN! 3+7+7+4+6+9 = 36 ÷ 6 = 6
M. A. D. 3 1 2 M.A.D = 1.67 3, 7, 7, 4, 6, 9 Mean = 6 STEP 2: STEP 3: Make a New List of Numbers: 3 1 2 STEP 2: Subtract the MEAN from each number in the data set. 6 - 3 = 3 6 - 7 = -1 (Take the ABSOLUTE VALUE) = 1 6 - 4 = 2 6 – 6 = 0 6 – 9 = 3 LAST STEP! Take the MEAN again! 3 + 1 + 1 + 2 + 0 + 3 = 10 10 ÷ 6 = 1.67 M.A.D = 1.67
Your Turn! Find the M.A.D: 12, 14, 21, 12, 26 102, 98, 79, 67, 89
12, 14, 21, 12, 26
102, 98, 79, 67, 89