Mean Absolute Deviation Worksheet

Free printable and online worksheets to help Grade 6 students review how to calculate the mean absolute deviation (MAD) for a given data set. The MAD of a data set is interpreted as the average distance of the data values from the mean.

Mean Absolute Deviation

The mean absolute deviation (MAD) is a measure of variability that describes the average distance between each data point in a dataset and the mean of the dataset. It provides a summary of the spread of the data points and is useful for understanding how much the data points differ from the mean on average.

Steps to calculate the Mean Absolute Deviation

1. Calculate the mean (average) of the dataset.
2. Find the absolute difference between each data point and the mean.
3. Find the Mean of the Absolute Deviations by calculating the average of these absolute deviations.

• A lower MAD value indicates that the data points are clustered closer to the mean, suggesting less variability in the data.
• A higher MAD value indicates that the data points are spread farther from the mean, suggesting greater variability in the data.

The mean absolute deviation is a straightforward and useful measure of the spread of a dataset, reflecting the average distance of data points from the mean. It is less sensitive to extreme values compared to other measures like variance and standard deviation.

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