Mean Absolute Deviation

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Presentation transcript:

Mean Absolute Deviation M.A.D. Mean Absolute Deviation

Make sure you carefully record all of the differences. M. A. D. 13 2 5 12 8 Find the mean of all of the data. Find the difference between each number in the data set and your overall mean. Make sure you carefully record all of the differences. 3. Find the mean of the differences. 13 + 2 + 5 + 12 + 8 = 40; 40 ÷ 5 = 8 13 – 8 = 5 8 – 2 = 6 8 – 5 = 3 12 – 8 = 4 8 – 8 = 0 5 + 6 + 3 + 4 + 0 = 18; 18 ÷ 5 = 3.6 M.A.D. = 3.6

To Summarize: (1) Find the mean of all the data. (2) Find the difference between each of the data & the mean. (3) Find the mean of the differences.

5 3 2 7 3 Step 1: Find the mean of the whole data set. 5 + 3 + 2 + 7 + 3 = 20 20 ÷ 5 = 4 Step 2: Find the difference between the mean and each of the data in the data set. Step 3: Find the mean of the differences you found. 1 + 1 + 2 + 3 + 1 = 8 8 ÷ 5 = 1.6 M.A.D. = 1.6 5 - 4 = 1 4 – 3 = 1 4 – 2 = 2 7 - 4 = 3 4 – 3 = 1

6 1 5 2 7 Step 1: Find the mean of the whole data set. 6 + 1 + 5 + 2 + 7 = 21 21 ÷ 5 = 4.2 Step 2: Find the difference between the mean and each of the data in the data set. Step 3: Find the mean of the differences you found. 1.8 + 3.2 + .8 + 2.2 + 2.8 = 10.8 10.8 ÷ 5 = 2.16 M.A.D. = 2.16 6 – 4.2 = 1.8 5 - 4.2= 0.8 7 - 4.2= 2.8 4.2 – 1 = 3.2 4.2 - 2 = 2.2