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Interquartile Range Worksheet

A Grade 8 math worksheet focusing on understanding and calculating the Interquartile Range (IQR) from data sets and box plots.

Grade 8 Math Data and GraphingStatisticsInterquartile Range
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.SP.A.1CCSS.MATH.CONTENT.8.SP.A.4

Topics

mathgrade 8statisticsinterquartile rangeIQRbox plots
7 sections · Free to use · Printable
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Interquartile Range Worksheet

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Read each question carefully and answer to the best of your ability. Show all your work for calculation questions.

1. The Interquartile Range (IQR) is a measure of statistical  . It describes the range of the middle 50% of a data set.

2. The first quartile (Q1) represents the   percentile of the data.

3. The third quartile (Q3) represents the   percentile of the data.

4. To find the IQR, you subtract the   from the  .

5. Find the Interquartile Range (IQR) for the following data set:

Data Set: 12, 15, 18, 20, 22, 25, 28, 30, 32

6. Calculate the IQR for the following test scores:

Test Scores: 65, 70, 72, 75, 80, 83, 85, 88, 90, 92, 95

7. The box plot below shows the number of hours students spent studying for a test. What is the Interquartile Range (IQR)?

012345678910
a

2 hours

b

3 hours

c

4 hours

d

5 hours

8. A larger IQR always indicates that the data points are more spread out.

T

True

F

False

9. Two classes took the same math test. Class A had an IQR of 10, and Class B had an IQR of 5. What does this tell you about the spread of scores in each class?