Mean Absolute Deviation: MAD

Front

What is the Mean Absolute Deviation (MAD)?

Back

The Mean Absolute Deviation is the average distance between each data value and the mean of the data set.

Tags

CCSS.6.SP.B.5C

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 to find the absolute deviations. 3. Find the mean of these absolute deviations.

Tags

CCSS.6.SP.B.5C

Front

What does a higher Mean Absolute Deviation indicate?

Back

A higher Mean Absolute Deviation indicates greater variability or spread in the data set.

Tags

CCSS.6.SP.B.5C

Front

Calculate the Mean Absolute Deviation for the set: 10, 9, 3, 8, 10. The Mean is 8.

Back

2

Tags

CCSS.6.SP.B.5C

Front

If the Mean Absolute Deviation is 4.2 and another is 8.5, which has greater variability?

Back

8.5 has greater variability.

Tags

CCSS.6.SP.B.5C

Front

What is the last step in calculating the Mean Absolute Deviation?

Back

Find the mean of the new set of absolute deviations.

Tags

CCSS.6.SP.B.5C

Front

What is the mean of the set: 11, 9, 36, 28, 6?

Back

18

Tags

CCSS.6.SP.B.5C

Front

What is the formula for Mean Absolute Deviation?

Back

MAD = (Σ|x_i - mean|) / N, where x_i are the data points and N is the number of data points.

Tags

CCSS.6.SP.B.5C

Front

What does the absolute value represent in the context of Mean Absolute Deviation?

Back

The absolute value represents the distance from the mean, ignoring direction (positive or negative).

Tags

CCSS.6.SP.B.5C

Front

Why is Mean Absolute Deviation preferred over standard deviation in some cases?

Back

MAD is less affected by outliers and provides a clearer picture of average variability.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2