Mean Absolute Deviation

Front

What is Mean Absolute Deviation (MAD)?

Back

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 data set.

Tags

CCSS.6.SP.B.5C

Front

How do you calculate the mean of a data set?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What is the formula for calculating Mean Absolute Deviation?

Back

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

Tags

CCSS.6.SP.B.5C

Front

Find the mean of the data set: 6, 7, 2, 1, 5, 2, 1, 6.

Back

The mean is 3.8.

Tags

CCSS.6.SP.B.5C

Front

What is the first step in calculating the MAD?

Back

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

Tags

CCSS.6.SP.B.5C

Front

If the mean of a data set is 10 and the data points are 8, 12, 10, what is the absolute deviation for each point?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What does a low MAD indicate about a data set?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What does a high MAD indicate about a data set?

Back

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

Tags

CCSS.6.SP.B.5C

Front

Calculate the MAD for the data set: 65, 90, 85, 70, 70, 95, 55.

Back

The MAD is 12.24.

Tags

CCSS.6.SP.B.5C

Front

What is the mean of the data set: 15, 20, 25, 17, 18?

Back

The mean is 19.

Tags

CCSS.6.SP.B.5C