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. It represents the average distance between each data point and the mean of the data set.

Tags

CCSS.6.SP.B.5C

Front

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

Back

The first step is to find the mean of the data.

Tags

CCSS.6.SP.B.5C

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

Back

The second step is to find the distance each value is from the mean.

Tags

CCSS.6.SP.B.5C

Front

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

Back

The third step is to find the mean of the distances.

Tags

CCSS.6.SP.B.5C

Front

How do you calculate the mean of a data set?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What is the formula for 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.

Tags

CCSS.6.SP.B.5C

Front

Find the MAD for the following set: 85, 90, 68, 75, 79.

Back

The MAD is 6.48.

Tags

CCSS.6.SP.B.5C

Front

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

Back

The MAD is 12.24.

Tags

CCSS.6.SP.B.5C

Front

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

Back

A low MAD indicates that the data points are close to the mean, suggesting less variability.

Tags

CCSS.6.SP.B.5C

Front

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

Back

A high MAD indicates that the data points are spread out over a wider range of values, suggesting more variability.

Tags

CCSS.6.SP.B.5C