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 dataset. 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 for a dataset?

Back

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

Front

If the dataset is 5, 11, 2, 7, 16, what is the mean?

Back

The mean is 8.2.

Front

Given the dataset 85, 90, 68, 75, 79, what is the MAD?

Back

6.48

Front

What does it mean if the MAD is low?

Back

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

Front

What does it mean if the MAD is high?

Back

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

Front

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

Back

10

Front

What is the MAD for the dataset: 10, 9, 3, 8, 10?

Back

2

Front

Determine the mean absolute deviation of the data: 9, 7, 11, 10, 8.

Back

1.2