Interquartile Range Worksheet
A Grade 10 math worksheet focusing on calculating and interpreting the interquartile range (IQR) from various data sets.
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Interquartile Range Worksheet
Name:
Date:
Score:
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?
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