5.4 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 dataset.

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 MAD of a dataset?

Back

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

Front

If the dataset is 4, 32, 33, 45, 67, what is the mean?

Back

The mean is 36.2.

Front

Given the dataset 10, 8, 5, 12, 20, what is the MAD?

Back

The MAD is 4.

Front

What does a lower MAD indicate about a dataset?

Back

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

Front

What does a higher MAD indicate about a dataset?

Back

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

Front

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

Back

The MAD is 10.

Front

What is the MAD for the dataset: 85, 90, 68, 75, 79?

Back

The MAD is 6.48.

Front

If the dataset is 10, 9, 3, 8, 10, what is the MAD?

Back

The MAD is 2.