Mean Absolute Deviation Review

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What is Mean Absolute Deviation (MAD)?

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Mean Absolute Deviation (MAD) is a measure of the dispersion of a set of data points. It is 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 variance in statistics?

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Variance is a measure of how much values in a data set differ from the mean. It is calculated as the average of the squared differences from the mean.

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What is the formula for variance?

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Variance (σ²) = Σ (xi - μ)² / N, where xi is each value, μ is the mean, and N is the number of values.

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What is standard deviation?

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Standard deviation is a measure of the amount of variation or dispersion in a set of values. It is the square root of the variance.

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How is standard deviation related to variance?

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Standard deviation is the square root of variance. It provides a measure of spread in the same units as the data.

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What is the first step in calculating variance?

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The first step in calculating variance is to find the mean of the data set.

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What does the symbol 'σ' represent in statistics?

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The symbol 'σ' represents the standard deviation of a population.

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What does the symbol 'σ²' represent in statistics?

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The symbol 'σ²' represents the variance of a population.

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If the variance of a data set is 64, what is the standard deviation?

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The standard deviation is 8, since it is the square root of the variance (√64 = 8).