Mean Absolute Deviation

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What does M.A.D. stand for in statistics?

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M.A.D. stands for Mean Absolute Deviation.

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How is the Mean Absolute Deviation calculated?

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The Mean Absolute Deviation is calculated by finding the average of the absolute differences between each data point and the mean of the data set.

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What is the purpose of calculating Mean Absolute Deviation?

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The purpose of calculating Mean Absolute Deviation is to measure the variability or dispersion of a set of data points.

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If the Mean Absolute Deviation is low, what does that indicate about the data set?

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

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If the Mean Absolute Deviation is high, what does that indicate about the data set?

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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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Given the data set 58, 38, 54, 48, 26, 36, what is the Mean Absolute Deviation?

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The Mean Absolute Deviation for the data set 58, 38, 54, 48, 26, 36 is 10.

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Calculate the Mean Absolute Deviation for the data set 9, 7, 11, 10, 8.

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The Mean Absolute Deviation for the data set 9, 7, 11, 10, 8 is 1.2.

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

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The Mean Absolute Deviation of the data set 13, 14, 17, 28, 28 is 6.4.

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What is the significance of absolute values in the calculation of Mean Absolute Deviation?

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Absolute values are used in the calculation of Mean Absolute Deviation to ensure that differences are non-negative, allowing for a true average of deviations.

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How does the Mean Absolute Deviation differ from standard deviation?

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Mean Absolute Deviation uses absolute values of deviations, while standard deviation squares the deviations before averaging, which can give more weight to larger deviations.