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Interquartile Range Worksheet

Understand and calculate the interquartile range (IQR) for various data sets, including interpreting box plots. Aligned with Grade 12 statistics.

Grade 12 Math Data and GraphingStatisticsInterquartile Range
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Short AnswerMultiple ChoiceLong Answer

Standards

CCSS.MATH.CONTENT.HSS.ID.A.1CCSS.MATH.CONTENT.HSS.ID.A.2CCSS.MATH.CONTENT.HSS.ID.A.3

Topics

Interquartile RangeIQRStatisticsData AnalysisBox PlotsGrade 12 Math
5 sections · Free to use · Printable
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Interquartile Range (IQR) Worksheet

Name:

Date:

Score:

Read each question carefully and provide your answers in the space provided. Show all your work for calculations.

1. Calculate the Interquartile Range (IQR) for the following data set:

Data Set: 12, 15, 18, 20, 22, 25, 28, 30, 32, 35

2. Find the IQR for the data set representing the number of hours students spent studying for an exam:

Data Set: 3, 5, 7, 8, 8, 10, 12, 13, 15, 16, 18

Use the box plot below to answer the following questions.

1020304050

3. What is the median of the data set represented by the box plot?

a

20

b

30

c

40

d

50

4. What is the Interquartile Range (IQR) for the data set represented by the box plot?

a

10

b

20

c

30

d

40

5. A company recorded the daily sales (in thousands of dollars) for two different products over a month. The five-number summaries are given below:

Product A: Min = 10, Q1 = 15, Median = 25, Q3 = 30, Max = 40

Product B: Min = 5, Q1 = 12, Median = 20, Q3 = 35, Max = 50

Calculate the IQR for both products. Which product has more consistent sales, and why?

6. Explain in your own words what the Interquartile Range (IQR) represents and why it is a useful measure of spread, especially when comparing to the range.