6.4 Mean Absolute Deviation

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What is Mean Absolute Deviation (MAD)?

Back

Mean Absolute Deviation (MAD) is a measure of the dispersion or spread of a set of data points around the mean. It is calculated by taking the average of the absolute differences between each data point and the mean.

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CCSS.6.SP.B.5C

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What is the first step in calculating MAD?

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The first step in calculating MAD is to find the mean (average) of the data set.

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CCSS.6.SP.B.5C

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What do you do after finding the mean in MAD calculation?

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After finding the mean, you find out the distance each number is from the mean.

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CCSS.6.SP.B.5C

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How do you calculate the absolute difference?

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The absolute difference is calculated by subtracting the mean from each data point and taking the absolute value of the result.

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CCSS.6.SP.B.5C

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What is the formula for calculating MAD?

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MAD = (Sum of absolute differences from the mean) / (Number of data points)

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CCSS.6.SP.B.5C

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If the data set is 10, 9, 3, 8, 10, what is the mean?

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The mean of the data set 10, 9, 3, 8, 10 is 8.

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CCSS.6.SP.B.5C

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Given the data set 58, 38, 54, 48, 26, 36, what is the MAD?

Back

The MAD for the data set 58, 38, 54, 48, 26, 36 is 10.

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CCSS.6.SP.B.5C

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What is the third step in calculating MAD?

Back

The third step in calculating MAD is to divide the sum of the absolute differences by the number of data points.

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CCSS.6.SP.B.5C

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Find the MAD for the data set: 65, 90, 85, 70, 70, 95, 55.

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The MAD for the data set 65, 90, 85, 70, 70, 95, 55 is 12.24.

Tags

CCSS.6.SP.B.5C

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What does a lower MAD indicate about a data set?

Back

A lower MAD indicates that the data points are closer to the mean, suggesting less variability.

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CCSS.6.SP.B.5C