COMPAIRNG BOX PLOTS WORKSHEET

Problem 1 :

The comparative box plots below show the average high temperatures for Boston, Massachusetts, and Dallas, Texas. How do the interquartile range and median of the two data sets compare?

Solution

Problem 2 :

The comparative box plots show data about the number of wins scored by Major League Baseball teams in the 2017 and 2018 seasons. How do the range and third quartile of each data set compare?

Solution

Problem 3 :

The box plots show data about the ratings of the movies that are in Mateo's movie collection, stored by genre. Compare the range and interquartile range of the two data sets.

Fill in the blank with greater than, less than, or equal to.

The range for dramas is ______ the range for comedies. The interquartile range for dramas is _______ the interquartile range for comedies.

Solution

Problem 4 :

Mr. Maha's class and Ms. Tripp's class collected data about the number of each color of candy in a sample of bags of that candy. The box plots show data about their results. 

Calculate the following measures for each class.

1. Interquartile range             2. Median

3. First Quartile                     4. Minimum value

Solution

Problem 5 :

From the box and whisker plots given below, 

Complete the sentences below with less than, greater than, or equal to.

1. The interquartile range for Mr. Maha's class is ______ the interquartile range for Ms. Tripp's class.

2. The median for Mr. Maha's class is ______ the median range for Ms. Tripp's class.

3. The first quartile for Mr. Maha's class is ________ the first quartile for Ms. Tripp's class.

4. The minimum for Mr. Maha's class is _______ the minimum for Ms. Tripp's class.

Solution

Problem 6 :

A local basketball league has several teams. The box plots show data about the shoe sizes for players on two of those teams. Use these box plots for questions.

Determine if the statement below is true or false. If false, rewrite it to be true.

Complete the sentences below with less than, greater than, or equal to.

1)  The range of shoe sizes for both teams is equal.

2) The third quartile for the Spurs is greater than the third quartile for the Rockets.

3)  The median for the Rockets is less than the median for the Spurs.

Solution

Problem 7 :

The box plots show data about the heights, in feet, of two different types of trees at a local nursery.

Which statement is best supported by the information in the box plots?

A. The interquartile range of heights of oak trees is less than the interquartile range of heights of pine trees.

B. The range of heights of oak trees is the same as the range of heights for pine trees.

C. The median height of pine trees is greater than the median height of oak trees.

D. The first quartile height of oak trees is less than the first quartile height of pine trees.

Solution

Problem 8 :

The box plots show data about the ages of actors and actresses who won the Academy Award for Best Actor or Best Actress through 2018.

Which statement is best supported by the information in the box plots?

A. The first quartile age of Best Actor winners is less than the first quartile age of Best Actress winners.

B. The minimum age of Best Actor winners is less than the minimum age of Best Actress winners.

C. The median age of Best Actress winners is greater than the median age of Best Actor winners.

D. The range of ages of Best Actress winners is greater than the range of ages of Best Actor winners.

Solution

Problem 9 :  

The box plots show data about the hat sizes of two different baseball teams.

Which statement is best supported by the information in the box plots?

A. The median hat size for the Sharks is less than the median hat size for the Seals.

B. The median hat size for both teams is the same.

C. Th interquartile range of hat sizes for both teams is the same.

D. The interquartile range of hat sizes for the Sharks is greater than the interquartile range of hat sizes for the Seals.

Solution