Mean Absolute Deviation

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What is Mean Absolute Deviation (MAD)?

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Mean Absolute Deviation (MAD) is a measure of the dispersion or spread 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. Calculate the distance of each data point from the mean. 3. Find the mean of these distances.

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What is the first step in calculating the Mean Absolute Deviation?

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Find the mean of the data.

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What is the second step in calculating the Mean Absolute Deviation?

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Find the distance each value is from the mean.

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What is the third step in calculating the Mean Absolute Deviation?

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Find the mean of the distances.

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Calculate the Mean Absolute Deviation for the data set: 10, 9, 3, 8, 10.

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2

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Calculate the Mean Absolute Deviation for the data set: 65, 90, 85, 70, 70, 95, 55.

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12.24

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What does it mean if the Mean Absolute Deviation is low?

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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 it mean if the Mean Absolute Deviation is high?

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

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Why is Mean Absolute Deviation important in statistics?

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Mean Absolute Deviation helps to understand the variability of data, which is crucial for data analysis and interpretation.