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Lesson: Finding and Interpreting the Mean Absolute Deviation

Univariate data can be represented by measures of variation that assess the variability of the data. In this lesson, we will learn how to find and interpret the mean absolute deviation.

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

Q1:

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

AD
BC
CA
DB

Q2:

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 D
Cplot A
Dplot C

Q3:

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 D
Cplot A
Dplot C

Q4:

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 B
Cplot C
Dplot A

Q5:

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 D
Cplot A
Dplot C

Q6:

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 D
Cplot A
Dplot C

Q7:

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

Q8:

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

Q9:

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

Q10:

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

Q11:

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.

Q12:

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.

Q13:

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.

Q14:

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.

Q15:

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

AData set has a mean of , data set has a mean of , and both sets have a MAD of 9.
BData set has a mean of , data set has a mean of , and both sets have a MAD of 6.
CData set has a mean of , data set has a mean of , and both sets have a MAD of 9.
DData set has a mean of , data set has a mean of , and both sets have a MAD of 8.
EData set has a mean of , data set has a mean of , and both sets have a MAD of 2.

Q16:

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

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