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What is Mean Absolute Deviation (MAD)?

Back

Mean Absolute Deviation (MAD) is a measure of the dispersion 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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CCSS.6.SP.B.5C

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

Back

Find the mean of the data.

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CCSS.6.SP.B.5C

Front

How do you find the mean of a data set?

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To find the mean, add all the numbers in the data set and then divide by the total number of values.

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CCSS.6.SP.B.5C

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What is the mean of the data set: 6, 7, 2, 1, 5, 2, 1, 6?

Back

3.8

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CCSS.6.SP.B.5C

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What is the formula for calculating Mean Absolute Deviation?

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MAD = (Σ|x_i - mean|) / N, where x_i represents each data point, mean is the average of the data, and N is the number of data points.

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CCSS.6.SP.B.5C

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What is the mean absolute deviation of the data set: 13, 14, 17, 28, 28?

Back

6.4

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CCSS.6.SP.B.5C

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How do you calculate the absolute deviation of a data point?

Back

Absolute deviation is calculated as |x - mean|, where x is the data point and mean is the average of the data set.

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CCSS.6.SP.B.5C

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What is the Mean Absolute Deviation of the data set: 58, 38, 54, 48, 26, 36?

Back

10

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Front

If the mean of a data set is 8.2, what is the Mean Absolute Deviation of the data set: 5, 11, 2, 7, 16?

Back

4.2

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CCSS.6.SP.B.5C

Front

Why is Mean Absolute Deviation important in statistics?

Back

MAD helps to understand the variability in a data set and is useful for comparing the spread of different data sets.

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CCSS.6.SP.B.5C