Comparing Two or More Data Sets

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.

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.

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.

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

• Finn's Data Set

• Jonah's Data Set

Mr. Jackson had students grow the same type of plant in two different rooms to test the growing conditions. The results are shown in the box plant. Choose ALL accurate statements below.

• Room 7G has the tallest plant.

• 75% of 7D plants are 8 in. or taller.

• 7G has a greater median height.

• Room 7D has the shortest and tallest plants.

The box plots describe the heights of flowers selected randomly from two gardens. What is the median of the flowers in Garden Y, in inches? ________ inches

Using the box plot, who spend more time in outdoor activity? Explain.

• Soccer players, because they have a greater range of active minutes outdoors.

• Basketball players, because they have a greater range of active minutes outdoors.

• Soccer players, because they have a greater median of minutes spent outdoors.

• Basketball players, because they have a greater median of minutes spent outdoors.

A family is looking for a new home. The family is comparing homes in two towns. The median home price of Town 1 is ​$450,000. In Town 2, the median home price is ​$384,393. Based on the median home prices of each​ town, what inference can be​ made?

• The homes in Town 2 are more expensive.

• The homes in Town 1 and Town 2 are similarly priced.

• The homes in Town 1 are more expensive.