Mean Absolute Deviation

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 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. Calculate the distance of each data point from the mean. 3. Take the absolute value of each distance. 4. Find the mean of these absolute distances.

Front

What is the first step in calculating M.A.D?

Back

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

Front

What is the second step in calculating M.A.D?

Back

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

Front

What is the mean of the data set: 6, 7, 2, 1, 5, 2, 1, 6?

Back

The mean is 3.8.

Front

If the mean of a data set is 10 and the data points are 8, 12, and 10, what are the absolute deviations?

Back

The absolute deviations are: |8-10|=2, |12-10|=2, |10-10|=0.

Front

What is the mean of the absolute deviations if the absolute deviations are 2, 2, and 0?

Back

The mean of the absolute deviations is (2+2+0)/3 = 1.33.

Front

What does a low M.A.D indicate about a data set?

Back

A low M.A.D indicates that the data points are close to the mean, showing less variability.

Front

What does a high M.A.D indicate about a data set?

Back

A high M.A.D indicates that the data points are spread out over a wider range, showing more variability.

Front

In a data set, if the M.A.D is 0, what does that mean?

Back

If the M.A.D is 0, it means all data points are identical and equal to the mean.