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Calculating Mean Absolute Deviation in Statistics

Learn how to find the mean of a dataset, determine differences between each data point and the mean, and calculate the Mean Absolute Deviation (M.A.D) step by step.

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Calculating Mean Absolute Deviation in Statistics

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  1. More M.A.D Practice Find the mean of all the data. Find the difference between each of the data and the mean. Find the mean of the differences.

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

  3. 1 6 5 7 2 Step 1: Find the mean of the whole data set. 6 + 1 + 5 + 2 + 7 = 21 ÷ 5 = 4.2 Step 2: Find the difference between the mean and each of the data in the data set. 6 – 4.2= 1.8 4.2- 1= 3.2 5– 4.2 = .8 4.2- 2= 2.2 7– 4.2= 2.8 Step 3: Find the mean of the differences you found. 1.8 + 3.2 + 1.2 + 2.2 + 2.8 = 10.8÷ 5 = 2.16 M.A.D. = 2.16

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