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

True or false? The larger the Mean Absolute Deviation, the more consistent the data is.

Back

False

Tags

CCSS.6.SP.B.5C

Front

What is the definition of Mean?

Back

The average of the numbers.

Tags

CCSS.6.SP.B.5C

Front

Find the Mean Absolute Deviation of the set: 6, 3, 2, 4, 5. The mean is 4.

Back

1.2

Tags

CCSS.6.SP.B.5C

Front

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

Back

8

Tags

CCSS.6.SP.B.5C

Front

What does a Mean Absolute Deviation of 0 indicate?

Back

It indicates that all data points are identical and there is no variability.

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 and take the absolute value. 3. Find the average of those absolute values.

Tags

CCSS.6.SP.B.5C

Front

What is the relationship between Mean and Mean Absolute Deviation?

Back

The Mean is a measure of central tendency, while the Mean Absolute Deviation measures the spread or variability of the data around the Mean.

Tags

CCSS.6.SP.B.5C

Front

If the Mean Absolute Deviation increases, what can be inferred about the data set?

Back

The data points are more spread out from the mean, indicating greater variability.

Tags

CCSS.6.SP.B.5C

Front

What is the formula for calculating Mean Absolute Deviation?

Back

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

Tags

CCSS.6.SP.B.5C