Interquartile Range

Mrs. Jones surveyed the class for the number of letters in their given first name. The data is recorded below.
{5, 8, 6, 5, 4, 9, 8, 7, 6, 3, 8, 7, 5, 6, 7, 8}
What is the interquartile range of the data?

• 2
• 3
• 7
• 8

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5

CCSS.6.SP.A.3

The data below shows the number of hours boys and girls spent studying for a test.
Boys: {2, 1, 3, 1, 2, 2}
Girls: {4, 1, 3, 2, 2, 4}
What is the difference in the interquartile range between the girls and boys?

• 1
• 2
• 3
• 5

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5

CCSS.6.SP.A.3

CCSS.6.SP.A.1

An elevator can hold a maximum of 1,500 pounds. Eight people need to use the elevator. Bill had some measures from the data set of how much each person weighed. Which measure would be most useful to determine if the people can safely use the elevator?

• Mean
• Median
• Mode
• Interquartile Range

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

The ages of 11 senior citizens taking an art class are shown below.
{86, 92, 86, 80, 83, 80, 93, 92, 93, 84, 83}
Which box plot represents the ages of the senior citizens?

• A
• B
• C
• D

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5

CCSS.6.SP.B.4

The data shows the test scores of four different classes.
Algebra: {87, 91, 64, 88, 74}
Geometry: {98, 86, 84, 91, 79}
Statistics: {87, 72, 84, 88, 91}
Pre-Algebra: {63, 82, 78, 71, 74}
Which class had the smallest interquartile range?

• Algebra
• Geometry
• Statistics
• Pre-Algebra

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5

CCSS.6.SP.A.3

The table below shows the heights, in feet, of the five tallest buildings in three cities in the United States.
Which statement is true about the data?

• The interquartile range for New York’s buildings is less than the interquartile range for Boston’s buildings.
• The interquartile range for Chicago’s buildings is less than the interquartile range for Boston’s buildings.
• The interquartile range for New York’s buildings is greater than the interquartile range for Chicago’s buildings.
• The interquartile range for Chicago’s buildings is greater than the interquartile range for New York’s buildings.

Tags

CCSS.7.SP.B.4

Which set of data is displayed in the box plot shown below?

• 2,3,4,5,5,6,7,7,8,10
• 2,2,3,4,4,4,5,6,8,10
• 2,3,4,5,5,6,6,6,9,10
• 2,2,4,4,5,5,7,7,8,10

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5

CCSS.6.SP.B.4

Kaitlyn, Mara, and Paul recorded how many minutes they watched television each day for 2 weeks. Their results are recorded in the table below.
Which statement is true?

• Kaitlyn’s data has a greater interquartile range than Mara’s data.
• Mara’s data has a greater interquartile range than Kaitlyn’s data.
• Paul’s data has a greater interquartile range than Kaitlyn’s data.
• Mara’s data has a greater interquartile range than Paul’s data.

Tags

CCSS.7.SP.B.4