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 represents the average distance between each data point and the mean of the data set.

Front

How do you calculate the Mean of a data set?

Back

To calculate the Mean, add all the numbers in the data set together and then divide by the total number of values.

Front

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

Back

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

Front

What do you do after finding the mean in the Mean Absolute Deviation process?

Back

Subtract the mean from each original data point to find the absolute deviations.

Front

What is the next step after finding the absolute deviations?

Back

The next step is to find the mean of the absolute deviations.

Front

What is the formula for Mean Absolute Deviation?

Back

MAD = (Σ |x_i - mean|) / N, where x_i represents each data point, mean is the average of the data set, and N is the number of data points.

Front

Find the Mean Absolute Deviation of the set: 6, 3, 2, 4, 8, 10.

Back

2.5

Front

Find the Mean Absolute Deviation of the set: 10, 5, 7, 14, 19, 32, 25.

Back

8

Front

Find the Mean Absolute Deviation of the set: 48, 52, 54, 61, 30, 76, 79, 50.

Back

11.8

Front

What does an absolute deviation represent?

Back

An absolute deviation represents the distance between a data point and the mean, regardless of direction (positive or negative).