Grade 6 | Unit 8 | Lesson 15: Quartiles and Interquartile Range | Practice Problems

Suppose that there are 20 numbers in a data set and that they are all different. How many of the values in this data set are between the first quartile and the third quartile?

• 10

• 5

• 15

• 20

Suppose that there are 20 numbers in a data set and that they are all different. How many of the values in this data set are between the first quartile and the median?

• 10

• 5

• 15

• 20

In a word game, 1 letter is worth 1 point. What is the median score?

• 6.5 points

• 5

• 8

• 3

In a word game, 1 letter is worth 1 point. What is the first quartile (Q1)?

• 6.5 points

• 5

• 8

• 3

In a word game, 1 letter is worth 1 point. What is the third quartile (Q3)?

• 6.5 points

• 5

• 8

• 3

In a word game, 1 letter is worth 1 point. What is the interquartile range (IQR)?

• 6.5 points

• 5

• 8

• 3

Mai and Priya each played 10 games of bowling and recorded the scores. Mai’s median score was 120, and her IQR was 5. Priya’s median score was 118, and her IQR was 15. Whose scores probably had less variability? Explain how you know.

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Here are five dot plots that show the amounts of time that ten sixth-grade students in five countries took to get to school. Match each dot plot with the appropriate median and IQR.

• United States: Median: 17.5, IQR: 11

• Canada: Median: 7, IQR: 10

• Australia: Median: 15, IQR: 30

• New Zealand: Median: 12.5, IQR: 8

• South Africa: Median: 8, IQR: 4

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There are 20 pennies in a jar. If 16% of the coins in the jar are pennies, how many coins are there in the jar?

• 125

• 130

• 140

• 150