Mean Absolute Deviation

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What is the Mean Absolute Deviation (MAD)?

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The Mean Absolute Deviation (MAD) is a measure of the dispersion or spread of a set of data points. It is calculated by taking the average of the absolute differences 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 is the Mean Absolute Deviation of the set: 4, 32, 33, 45, 67?

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15.84

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

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6.4

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What is the Mean Absolute Deviation of the set: 85, 90, 68, 75, 79?

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6.48

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What is the Mean Absolute Deviation of the set: $29, $58, $15, $129?

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35.75

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Why is Mean Absolute Deviation important in statistics?

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MAD provides a clear understanding of how much the data varies from the average, which is crucial for data analysis and interpretation.

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What does a low Mean Absolute Deviation indicate?

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A low Mean Absolute Deviation indicates that the data points are close to the mean, suggesting less variability.

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What does a high Mean Absolute Deviation indicate?

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A high Mean Absolute Deviation indicates that the data points are spread out over a wider range of values, suggesting more variability.