Mean Absolute Deviation

Front

What is Mean Absolute Deviation (MAD)?

Back

Mean Absolute Deviation (MAD) 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 result. 3. Find the average of these absolute values.

Front

What is the first step in finding the Mean Absolute Deviation?

Back

The first step is to calculate the mean (average) of the data set.

Front

If the data set is 11, 34, 16, 18, 22, 30, 18, 20, 15, and 16, what is the mean?

Back

The mean of the data set is 19. The sum of the data points is 190, and there are 10 data points.

Front

Given the data set 29, 58, 15, 129, what is the mean?

Back

The mean is 57.75. The sum of the data points is 231, and there are 4 data points.

Front

What is the absolute deviation of a data point?

Back

The absolute deviation of a data point is the absolute value of the difference between the data point and the mean of the data set.

Front

Calculate the absolute deviations for the data set 4, 32, 33, 45, 67 with a mean of 42.2.

Back

The absolute deviations are: |4 - 42.2| = 38.2, |32 - 42.2| = 10.2, |33 - 42.2| = 9.2, |45 - 42.2| = 2.8, |67 - 42.2| = 24.8.

Front

What is the Mean Absolute Deviation of the data set 9, 7, 11, 10, 8?

Back

The Mean Absolute Deviation is 1.2.

Front

What does a lower Mean Absolute Deviation indicate about a data set?

Back

A lower Mean Absolute Deviation indicates that the data points are closer to the mean, suggesting less variability.

Front

What does a higher Mean Absolute Deviation indicate about a data set?

Back

A higher Mean Absolute Deviation indicates that the data points are more spread out from the mean, suggesting greater variability.