Interquartile Range Worksheet
Understand and calculate the interquartile range (IQR) for various data sets, including interpreting box plots. Aligned with Grade 12 statistics.
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Interquartile Range (IQR) Worksheet
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Date:
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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.
3. What is the median of the data set represented by the box plot?
20
30
40
50
4. What is the Interquartile Range (IQR) for the data set represented by the box plot?
10
20
30
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.
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