Interquartile Range Worksheet

A Grade 10 math worksheet focusing on calculating and interpreting the interquartile range (IQR) from various data sets.

Grade 10 Math Data and GraphingStatisticsInterquartile Range

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSS.ID.A.1CCSS.MATH.CONTENT.HSS.ID.A.2

Topics

Interquartile RangeIQRStatisticsData AnalysisGrade 10 Math

9 sections · Free to use · Printable

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Interquartile Range Worksheet

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Read each question carefully and follow the instructions. Show all your work where required.

1. Find the interquartile range (IQR) for the following data set:

12, 15, 18, 20, 22, 25, 28, 30, 32, 35

2. The first quartile (Q1) represents the percentile of a data set. The third quartile (Q3) represents the percentile. The interquartile range (IQR) is the between Q3 and Q1.

3. A larger interquartile range (IQR) typically indicates:

Less variability in the middle 50% of the data

More variability in the middle 50% of the data

A smaller mean

A larger median

4. Calculate the IQR for the following data set:

5, 7, 8, 10, 12, 14, 16, 18

5. The interquartile range (IQR) is always less than the range of the entire data set.

True

False

6. Using the data set from question 1 (12, 15, 18, 20, 22, 25, 28, 30, 32, 35), determine if there are any outliers. Show your calculations for the upper and lower fences.

7. The box plot below shows the distribution of scores on a math test for two different classes. Analyze the box plot and compare the interquartile range for Class A and Class B. Which class has a more consistent performance in the middle 50% of scores?