Mean Absolute Deviation

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What is Mean Absolute Deviation (M.A.D.)?

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Mean Absolute Deviation (M.A.D.) is a measure of the dispersion or variability of a set of data points. It represents the average distance between each data point and the mean of the data set.

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How do you calculate the Mean Absolute Deviation?

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1. Find the mean of the data set. 2. Subtract the mean from each data point and take the absolute value of each result. 3. Find the average of these absolute values.

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What does a higher Mean Absolute Deviation indicate?

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A higher Mean Absolute Deviation indicates greater variability or spread in the data set.

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What does a lower Mean Absolute Deviation indicate?

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A lower Mean Absolute Deviation indicates that the data points are closer to the mean, showing less variability.

Front

Calculate the Mean Absolute Deviation for the data set: 11, 34, 16, 18, 22, 30, 18, 20, 15, 16.

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5.2

Front

Calculate the Mean Absolute Deviation for the data set: 58, 38, 54, 48, 26, 36.

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10

Front

Which of the following M.A.D. values indicates the most variability: 13, 10, 11, 16?

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16

Front

Calculate the Mean Absolute Deviation for the data set: 58, 38, 54, 48, 20, 26, 36.

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11.42

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What is the Mean Absolute Deviation of the data set: 13, 14, 17, 28, 28?

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6.4

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Why is Mean Absolute Deviation important in statistics?

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Mean Absolute Deviation is important because it provides insight into the variability of data, helping to understand the distribution and reliability of the data set.