Lesson Worksheet: Comparing Two Distributions Using Box Plots Mathematics • 7th Grade

In this worksheet, we will practice comparing distributions of multiple data sets using their statistics as well as their visual representations.

Q1:

Using the given double box-and-whisker plot, determine the percent of the boys and then the percent of the girls who are 66 inches or shorter.

  • A50%, 25%
  • B50%, 75%
  • C75%, 25%
  • D25%, 75%

Q2:

The box plots below represent data collected on the length of recorded tracks from the top 100 rap and the top 100 heavy metal music charts.

On average, which genre of music has longer tracks?

  • AHeavy metal
  • BRap

Compare the significance of the track length 4.40 minutes for the two music genres.

  • A25% of rap tracks are shorter than 4.40 minutes; 75% of heavy metal tracks are longer than 4.40 minutes.
  • B75% of rap tracks are shorter than 4.40 minutes; 50% of heavy metal tracks are longer than 4.40 minutes.
  • C25% of rap tracks are shorter than 4.40 minutes; 25% of heavy metal tracks are longer than 4.40 minutes.
  • D75% of rap tracks are shorter than 4.40 minutes; 75% of heavy metal tracks are longer than 4.40 minutes.
  • E75% of rap tracks are shorter than 4.40 minutes; 25% of heavy metal tracks are longer than 4.40 minutes.

Q3:

It has long been thought that cats are the most popular internet pet. To test this theory, data were collected by a well-known search engine on the number of searches for cat-related videos and dog-related videos each month over a five-year period. The results are represented in the box plots below.

Use the information illustrated in the box plots to determine whether or not cats are indeed the premier internet pet.

  • AOn average, cats are the most popular pet, as thought.
  • BOn average, dogs are the most popular pet, not cats.

Q4:

It is thought that taking math tests in the morning results in higher grades than taking math tests in the afternoon. Do the data represented in the box plots below confirm this hypothesis or not?

  • AYes, taking math tests in the morning results in higher grades than taking math tests in the afternoon.
  • BNo, taking math tests in the afternoon results in higher grades than taking math tests in the morning.

Q5:

Using the given double box plot, which club has a higher interquartile range?

  • ABoth are equal.
  • BClub 2
  • CClub 1

Q6:

Use the given double box plot to answer the following questions.

Which class has a higher range?

  • AClass 1
  • BClass 2
  • CThe ranges are equal.

Which class has a higher median?

  • AClass 2
  • BClass 1
  • CThe medians are equal.

What is the difference between the two medians?

Q7:

Two different types of bananas are planted on a farm: the lady finger banana and the Cavendish banana. The weight range of each type is represented in the following box plot.

What are the medians for the lady finger banana and Cavendish banana respectively?

  • A104 and 118
  • B100 and 118
  • C106 and 118
  • D100 and 116
  • E104 and 116

Which data is symmetric?

  • ACavendish banana
  • BNeither of them
  • CLady finger banana

Which data is more spread?

  • ALady finger banana
  • BBoth of them have the same spread.
  • CCavendish banana

Q8:

Two cars A and B are racing. The distribution of their speeds at 5 second intervals are represented by the box plots.

What are the median speeds for cars A and B respectively?

  • A240 and 270
  • B270 and 280
  • C230 and 260
  • D270 and 270
  • E240 and 260

Which car has a greater spread of speeds?

  • ACar B
  • BBoth have equal spreads.
  • CCar A

Which car has a more symmetric distribution of speeds?

  • ACar A
  • BNeither of them
  • CCar B

Q9:

This double box-and-whisker plot compares the prices of books in 2 bookstores. What percent of books in bookstore B have a price of at least 90 dollars?

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