MAD Mean Absolute Deviation

Front

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.

Front

How do you calculate the Mean Absolute Deviation?

Back

1. Find the mean of the data set. 2. Subtract the mean from each data point and take the absolute value of each result. 3. Find the average of these absolute values.

Front

What is the formula for Mean Absolute Deviation?

Back

MAD = (1/n) * Σ|xi - μ|, where n is the number of data points, xi is each data point, and μ is the mean.

Front

Find the MAD for the data set: 1, 4, 8, 9, 10, 11, 15.

Back

MAD = 3.4

Front

Find the MAD for the data set: 11, 34, 16, 18, 22, 30, 18, 20, 15, 16.

Back

MAD = 5.2

Front

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

Back

MAD = 6.48

Front

Find the Mean Absolute Deviation for the data set: 5, 11, 2, 7, 16 (Mean = 8.2).

Back

MAD = 4.2

Front

Find the MAD for the data set: 58, 38, 54, 48, 26, 36.

Back

MAD = 10

Front

What does a low MAD indicate about a data set?

Back

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

Front

What does a high MAD indicate about a data set?

Back

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