1. MAD Mean Absolute Deviation

2. How can you describe how far apart the responses are from the center in a data set?

3. In this lesson you will learn how to describe the distribution of data by using the mean absolute deviation MAD.

4. Let’s Review The mean of a set of data is the average. 0 + 0 + 0 + 1 + 1 + 1 + 2 + 2 + 3 + 4 + 5 + 5 = 24 24 ÷ 12 = 2

5. A Common Mistake The mean and mean absolute deviation are often confused because they both include the word, “mean.” Mean Mean absolute deviation

6. Core Lesson 2 Find the mean absolute deviation. 1 3333 0000 2 1 0 1 2 3 + 3 18 18 ÷ 12 = 1.5

7. Core Lesson Let’s TRY ONE!!!

8. Find the mean absolute deviation. How many different states have you visited? 1, 2, 2, 3, 4, 5, 6, 7, 12, 18

9. Find the mean absolute deviation. How many different states have you visited? 1, 2, 2, 3, 4, 5, 6, 7, 12, 18 Mean is 6. Find each number’s distance from 6

10. Core Lesson Find the mean absolute deviation. How many different states have you visited? 1, 2, 2, 3, 4, 5, 6, 7, 12, 18 5 4 4 3 2 1 0 1 6 12

11. Core Lesson Find the mean absolute deviation. How many different states have you visited? 1, 2, 2, 3, 4, 5, 6, 7, 12, 18 5 4 4 3 2 1 0 1 6 12 38 ÷ 10 = 3.8 MAD is 3.8

12. Core Lesson Let’s TRY ANOTHER ONE!!!

13. Guided Practice Find the mean absolute deviation. What does it say about the data? How many pets do you have? 0, 1, 5, 0, 3, 1, 0, 2, 2, 6

14. Find the mean absolute deviation. What does it say about the data? How many pets do you have? 0, 0, 0, 1, 1, 2, 2, 3, 5, 6

15. Find the mean absolute deviation. What does it say about the data? How many pets do you have? 0, 0, 0, 1, 1, 2, 2, 3, 5, 6 Mean is 2

16. Find the mean absolute deviation. What does it say about the data? How many pets do you have? 0, 0, 0, 1, 1, 2, 2, 3, 5, 6 2 2 2 1 1 0 0 1 3 4 How far from 2??

17. Find the mean absolute deviation. What does it say about the data? How many pets do you have? 0, 0, 0, 1, 1, 2, 2, 3, 5, 6 16 ÷ 10 = 1.6 MAD is 1.6

18. Quick Quiz What is the mean absolute deviation of each data set and what does it mean? How many pairs of shoes do you own? 3, 7, 2, 8, 3, 19, 5, 9 How many books did you read this summer? 3, 6, 2, 3, 3, 1, 0, 5, 4, 3

19. How do you describe the spread of data?

20. In this lesson you will learn how to summarize the spread of data with a single number by calculating and examining the range and mean absolute deviation of the data.

21. How many books did 6 th graders at Taylor Middle School read this summer? Reading a line plot

22. Sometimes students confuse the mean and the mean absolute deviation. MeanMean Absolute Deviation Center Spread

23. Finding the Range 5 -0 5

24. Comparing the Range and the Mean Absolute Deviation Range = 5 Mean Absolute Deviation = 1.5

25. Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data?

26. Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data? Range is 6 MAD is 1.6

27. Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data?

28. Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data? Range is 10 MAD is 2.12

29. Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data? How many pairs of shoes do 6 th graders at Wilson Junior High School own?

30. Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data? Range is 18 MAD is 3.07