Mathematics
Mcbryde10
13

What does mean absolute deviation (MAD) measure? Explain how to find the MAD for a set of data.

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jfivnckx

Mean Absolute Deviation is a quantity of measurement that gives you an idea how far, on average, are the data points deviating from the mean. Its equation is MAD = ∑|x - μ| /  N, where x is a single data point μ is the mean of the data set N is the total number of data points Suppose, a data set consist of the following: 4, 7, 5, 9, 6, 7, 7, 4. Let's solve first for the mean: μ = (4+7+5+9+6+7+7+4)/8 = 6.125 Then, the MAD is equal to: MAD = (|4 - 6.125| + |7 - 6.125| +|5 - 6.125| +|9 - 6.125| +|6 - 6.125| +|7 - 6.125| +|7 - 6.125| +|4 - 6.125|) ÷ 8 MAD = 11/8 MAD = 1.375

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