Mean Absolute Deviation (M.A.D)

Front

What is Mean Absolute Deviation (M.A.D)?

Back

Mean Absolute Deviation (M.A.D) is a measure of the dispersion or spread of a set of data points. It is calculated by taking the average of the absolute differences 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 difference. 3. Find the average of these absolute differences.

Front

What is the formula for Mean Absolute Deviation?

Back

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

Front

What does a low Mean Absolute Deviation indicate?

Back

A low Mean Absolute Deviation indicates that the data points are close to the mean, suggesting less variability in the data.

Front

What does a high Mean Absolute Deviation indicate?

Back

A high Mean Absolute Deviation indicates that the data points are spread out over a wider range, suggesting more variability in the data.

Front

If the data set is 13, 14, 17, 28, and 28, what is the M.A.D?

Back

6.4

Front

For the data set 44, 46, 47, 50, and 45, what is the M.A.D to the nearest tenth?

Back

1.7

Front

What is the M.A.D of the numbers 14.2, 1.2, 3.5, 7.8, and 3.14 to the nearest tenth?

Back

4.0

Front

In the notation for M.A.D, which 'x' is represented with a line above it?

Back

The second 'x'.

Front

What is the Mean and M.A.D for the data set 33, 67, 78, 90, 99, 87?

Back

Mean: 75.6, M.A.D: 17.1