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Worksheet: Finding and Interpreting the Mean Absolute Deviation

Q1:

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.

Q2:

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.

Q3:

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.

Q4:

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.

Q5:

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

Q6:

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

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 Anthony Elizabeth Liam Jennifer
Number of Classes 3 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 David Madison Daniel Victoria
Number of Classes 3 8 3 5

Q9:

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

Q10:

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

  • A Data set 𝐴 has a mean of = 1 2 , data set 𝐵 has a mean of = 1 6 , and both sets have a MAD of 8.
  • B Data set 𝐴 has a mean of = 1 2 , data set 𝐵 has a mean of = 9 , and both sets have a MAD of 2.
  • C Data set 𝐴 has a mean of = 1 0 , data set 𝐵 has a mean of = 1 6 , and both sets have a MAD of 6.
  • D Data set 𝐴 has a mean of = 1 7 , data set 𝐵 has a mean of = 1 4 , and both sets have a MAD of 9.
  • E Data set 𝐴 has a mean of = 1 2 , data set 𝐵 has a mean of = 1 6 , and both sets have a MAD of 9.

Q11:

Find the mean absolute deviation of the data in the pictograph shown.

Q12:

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