MAD

MAD (Mean Absolute Deviation)

Lesson 6.10

Why is it important to find the MAD of a data set?

• Think about test scores, or homework scores... What was your grade? What was the class average?

• How far away from the class average was your score? How far away from the class average was everyone else?

Remember: To find the MAD:

• Calculate the mean of the data set.

• Find the distance that each number is from the mean and write the differences. (Subtract the mean and the original number.)

• *NOTE: this value needs to be positive because it is the absolute value of the deviation (difference). It does not matter if the values are above or below the mean. ALWAYS subtract the smallest number from the biggest number for MAD.

• Calculate the mean of the deviations.

Copy and paste the link below to watch a video about Mean Absolute Deviation.

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation

Multiple Choice

What is the first step to find the MAD?

• Find the mean of the data values

• Find out how far away each data value is from the mean. (Find the difference of the mean and the data value.)

• Find the average of the differences

Multiple Choice

What is the second step to find the MAD?

• Find the mean of the data values

• Find out how far away each data value is from the mean. (Find the difference of the mean and the data value.)

• Find the average of the differences

Multiple Choice

What is the final step of finding the MAD?

• Find the mean of the data

• Find out how far away each data value is from the mean. (Find the difference of the mean and the data value.)

• Find the average of the differences.

Fill in the Blanks

Find the Mean Absolute deviation of the following data: 4, 5, 5, 4

Fill in the Blanks

Find the Mean Absolute deviation of the following data: 1, 8, 10, 20

Fill in the Blanks

Find the Mean Absolute deviation of the following data: 200, 300, 300, 500, 500

Multiple Choice

Find the MAD of the following data: 14, 17,18, 22, 24

• 19

• 3.2

• 2.3

• 23

Multiple Choice

Find the MAD of the following data: 7, 10, 10,15

• 10

• 8

• 2.25

• 3.75

Multiple Choice

Find the MAD of the following data: 24, 30, 50, 60, 72

• 16.16

• 16

• 47.2

• 50

Fill in the Blanks

Find the Mean Absolute deviation of the following data: 10,14,70,140

Fill in the Blanks

Find the Mean Absolute deviation of the following data: 30,40,55,65