Download - MAD Mean Absolute Deviation
MADMean Absolute
Deviation
How can you describe how far apart the responses are from
the center in a data set?
In this lesson you will learn how to describe the
distribution of data by using the mean absolute deviation
MAD.
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 = 2424 ÷ 12 = 2
A Common Mistake
The mean and mean absolute deviation are often confused because they both
include the word, “mean.”
Mean Mean absolute deviation
Core Lesson
2 222
Find the mean absolute deviation.
1 111
33
00
2 2 2 1 1 1 0 0 1 2 3+ 3 18 18 ÷ 12 = 1.5
Core Lesson
Let’s TRY ONE!!!
Core Lesson
Find the mean absolute deviation.
How many different states have you visited?1, 2, 2, 3, 4, 5, 6, 7, 12, 18
Core Lesson
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
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
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
Core Lesson
Let’s TRY ANOTHER ONE!!!
Guided PracticeFind 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
Guided PracticeFind 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
Guided PracticeFind 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
Guided PracticeFind 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, 62 2 2 1 1 0 0 1 3 4
How far from 2??
Guided PracticeFind 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
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
Quick Quiz
How do you describe the spread of data?
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.
How many books did 6th graders at Taylor Middle School read this summer?
Reading a line plot
Sometimes students confuse the mean and the mean absolute deviation.
Mean Mean Absolute Deviation
Center Spread
Finding the Range
5-0 5
Comparing the Range and the Mean Absolute Deviation
Range = 5 Mean Absolute Deviation = 1.5
Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data?
Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data?
Range is 6MAD is 1.6
Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data?
Find the range and mean absolute deviation of this data. How can we use these to describe the spread of data?
Range is 10MAD is 2.12
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 6th graders at Wilson Junior High School own?
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 6th graders at Wilson Junior High School own?Range
is 18MAD is 3.07