Math Population Inferences

Kerron gathers the heights of a random sample of 6th graders and 7th graders and displays the data in box plots. Which statement below is true?

• The median of the 7th grade sample is greater than the 6th grade sample.

• The 7th grade sample has greater variability.

• The ranges of both data samples are equivalent.

• The median of the 6th grade sample is greater than the 7th grade sample.

Mykel surveyed 15 7th graders and 15 8th graders at his school to see how many hours they spend per day listening to music. He made two box plots to compare the data sets. What inference can he draw from the data sets?

• The range is greater for the 8th graders, so there is greater variability for the 8th graders than the 7th graders.

• The person who listens to music the least is a 7th grader.

• The median is greater for the 7th graders, so they generally spend more time listening to music than 8th graders.

• No inferences can be made from the box plots.

Determine the mean absolute deviation of the data.
9, 7, 11, 10, 8

• 9

• 6

• 1.2

• 5

Find the Mean Absolute Deviation: (MAD)

10, 9, 3, 8, 10.

• 3

• 5

• 1

• 2

Two classes of students took the same math test. The two box plots show a summary of their results rounded to the nearest whole number. Class A's MAD is 2.3 and Class B's MAD is 2.8. Which class' results were the least variable?

• Class A

• Class B

The box plots show the age of film viewers in years for three different film. Film A's MAD: 5.4 Film B's MAD: 3.4 Film C's MAD: 2.4 Which film has the most variability for it's viewers age?

• Film A

• Film B

• Film C

The mean and mean absolute deviation (MAD) is show for 2 datasets. Choose the dataset with the least variability.

• Mean: 3

  MAD: 1.7

• Mean: 8

  MAD: 1.2

The mean and mean absolute deviation (MAD) is show for 3 datasets. Choose the dataset with the least variability.

• Mean: 5.6

  MAD: 2.1

• Mean: 2.8

  MAD: 1.1

• Mean: 3.7

  MAD: 2.3

Which data set shows students who tend to spend more time on homework per week?

• Finn's Data Set

• Jonah's Data Set

The mean and mean absolute deviation (MAD) is show for 2 datasets. Choose the dataset with the most variability.

• Mean: 2.8

  MAD: 1

• Mean: 8.2

  MAD: 2.4