Compare Two or More Displays of the Same Data

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.

A random survey of seventh- and eighth-grade students was conducted to find out how many hours are spent doing homework each night. Of the two sets of data, which has the greater median?

• Seventh graders

• Eighth graders

• They have the same median.

• Impossible to determine from the box plot.

Group A and Group B were randomly sampled from the same population. Which statements below are true? Select all that apply.

• Group A has a greater median than Group B

• Group A has a greater range than Group B

• Group A has greater variability than Group B

• Group B has a greater median than Group A

• You cannot tell which group has the greater median based on the picture.

• Seventh graders tend to spend less time on homework than sixth graders.

• The sixth grade data has a larger mode number of hours than the seventh grade data.

• The sixth grade data has a larger maximum number of hours than the seventh grade data.

• The median number of hours for both grade levels is 8 hours.

• A

• B

• C

• D

• A

• B

• C

• D

Which car has the greater IQR?

• Car A

• Car B

• They're the same.

• You can't tell.

Which has a greater interquartile range?

• Airplane A

• Airplane B

• Both the same

Keyli gathers the heights of a random sample of six graders and seventh graders and displays the data in box plots. What can she say about the data sets?

• The 6th grade sample has greater variability.

• The 7th grade sample has greater variability.

• The 6th grade sample has the greater median.

• The ranges are equal for both samples.