Worksheet: Comparing Two Distributions Using Box Plots

In this worksheet, we will practice comparing two data set distributions using box plots.

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.

  • A 5 0 % , 2 5 %
  • B 5 0 % , 7 5 %
  • C 7 5 % , 2 5 %
  • D 2 5 % , 7 5 %

Q2:

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?

Q3:

The following box-and-whisker plots show the average daily temperatures in spring and summer. Which of the following describes the variability between the two seasons?

  • AThe summer season has a smaller range and a smaller interquartile range than the spring season.
  • BThe summer has a smaller MAD and a smaller range than the spring season.
  • CThe spring has a larger interquartile range; however, the summer has a larger range.
  • DThe spring has a larger interquartile range and a larger MAD than the summer season.

Q4:

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.

Q5:

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.

Q6:

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.

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