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Worksheet: Finding and Interpreting the Mean Absolute Deviation

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.

TeacherCharlesCynthiaDennisDoris
Number of Classes3835

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.

TeacherTerryEmmaRalphAbigail
Number of Classes7948

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.

TeacherLeonRoseLarryLisa
Number of Classes2425

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.

TeacherPatrickEleanorEarlAnn
Number of Classes3948

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)?

  • AD
  • BC
  • CA
  • DB

Q7:

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.

Q8:

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

Q9:

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

Q10:

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

Q11:

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

Q12:

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

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.