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Lesson: Finding and Interpreting the Mean Absolute Deviation

In this lesson, we will learn how to find and interpret the mean absolute deviation.

Question Video: Calculating Mean Absolute Deviation of a Data Set in a Word Problem

05:18

Worksheet: Finding and Interpreting the Mean Absolute Deviation • 16 Questions

Q1:

The following table shows the number of classes taught by each teacher in the math department at a high school. Find the mean absolute deviation (MAD) of the data set rounded to the nearest hundredth if necessary.

Teacher	David	Madison	Daniel	Victoria
Number of Classes	3	8	3	5

Q2:

The following table shows the number of classes taught by each teacher in the math department at a high school. Find the mean absolute deviation (MAD) of the data set rounded to the nearest hundredth if necessary.

Teacher	Ethan	Hannah	David	Natalie
Number of Classes	7	9	4	8

Q3:

The following table shows the number of classes taught by each teacher in the math department at a high school. Find the mean absolute deviation (MAD) of the data set rounded to the nearest hundredth if necessary.

Teacher	James	Charlotte	Liam	Hannah
Number of Classes	2	4	2	5

Q4:

The following table shows the number of classes taught by each teacher in the math department at a high school. Find the mean absolute deviation (MAD) of the data set rounded to the nearest hundredth if necessary.

Teacher	Anthony	Elizabeth	Liam	Jennifer
Number of Classes	3	9	4	8

Q5:

Calculate the mean absolute deviation of 15, 5, 17, 7, 14, 5, 15, and 20. Round your answer to the nearest tenth if necessary.

Q6:

Which of the following has the greatest mean absolute deviation (MAD)?

AC
BB
CD
DA

Q7:

Which pair of data sets is most likely to have the greatest number of values in common?

A Data set has a mean of , data set has a mean of , and both sets have a MAD of 9.
B Data set has a mean of , data set has a mean of , and both sets have a MAD of 9.
C Data set has a mean of , data set has a mean of , and both sets have a MAD of 2.
D Data set has a mean of , data set has a mean of , and both sets have a MAD of 6.
E Data set has a mean of , data set has a mean of , and both sets have a MAD of 8.

Q8:

The following line plots show the heights, in inches, of different students. Which of them has the smallest mean absolute deviation (MAD)?

Aplot D
Bplot C
Cplot B
Dplot A

Q9:

The following line plots show the heights, in inches, of different students. Which of them has the smallest mean absolute deviation (MAD)?

Aplot D
Bplot C
Cplot B
Dplot A

Q10:

The following line plots show the heights, in inches, of different students. Which of them has the smallest mean absolute deviation (MAD)?

Aplot B
Bplot A
Cplot D
Dplot C

Q11:

The following line plots show the heights, in inches, of different students. Which of them has the smallest mean absolute deviation (MAD)?

Aplot D
Bplot C
Cplot B
Dplot A

Q12:

The following line plots show the heights, in inches, of different students. Which of them has the smallest mean absolute deviation (MAD)?

Aplot D
Bplot C
Cplot B
Dplot A

Q13:

At an art gallery, Jill hung 14 paintings, Kevin hung 6 paintings, Laurie hung 9 paintings, Meg hung 8 paintings, and Matt hung 9 paintings. Find the mean absolute deviation of the number of paintings hung.

Q14:

At an art gallery, Jill hung 13 paintings, Kevin hung 8 paintings, Laurie hung 7 paintings, Meg hung 11 paintings, and Matt hung 8 paintings. Find the mean absolute deviation of the number of paintings hung.

Q15:

At an art gallery, Jill hung 4 paintings, Kevin hung 10 paintings, Laurie hung 9 paintings, Meg hung 8 paintings, and Matt hung 9 paintings. Find the mean absolute deviation of the number of paintings hung.

Q16:

At an art gallery, Jill hung 12 paintings, Kevin hung 9 paintings, Laurie hung 9 paintings, Meg hung 12 paintings, and Matt hung 6 paintings. Find the mean absolute deviation of the number of paintings hung.

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