What is Mean Absolute Deviation?  Another measure of variability is called the mean absolute deviation. The mean absolute deviation (MAD) is the average.

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Mean Absolute Deviation

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Presentation transcript:

What is Mean Absolute Deviation?  Another measure of variability is called the mean absolute deviation. The mean absolute deviation (MAD) is the average of the absolute values of the differences between each data value in a data set and the set's mean.  In other words, it is the average distance that each value is away from the mean.

What Does MAD mean?  If a data set has a small mean absolute deviation, then this means that the data values are relatively close to the mean. What does this mean about the dispersion of the data?  If the mean absolute deviation is large, then the values are spread out and far from the mean.

MEAN ABSOLUTE DEVIATION Step 1: find the mean (add all numbers together, divide by how many numbers there are) Step 2: subtract each number in the list from this mean Step 3: take the absolute value of each number (so they are all positive numbers) Step 4: find the mean of these new numbers

Average 88.1 MAD 5.99 What is the MAD of this data set? Unit 3 Test Scores