Quartiles Worksheet
A Grade 10 math worksheet covering the calculation and interpretation of quartiles and interquartile range.
Includes
Standards
Topics
Quartiles and Interquartile Range
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for calculations.
1. Define what quartiles are in the context of a data set. How many quartiles divide a data set, and what percentage of data falls into each section?
2. For the data set: 12, 15, 18, 20, 22, 25, 28, 30, 32, 35, 38, 40
The median (Q2) is .
The first quartile (Q1) is .
The third quartile (Q3) is .
3. Given the data set: 5, 8, 10, 12, 15, 18, 20, 24, 25, 28, 30. Calculate the Interquartile Range (IQR).
4. A student scored in the 75th percentile on a test. Which quartile does this score fall into?
First Quartile (Q1)
Second Quartile (Q2)
Third Quartile (Q3)
Fourth Quartile (Q4)
5. The Interquartile Range (IQR) is a measure of variability that describes the spread of the middle 50% of a data set.
True
False
6. A company recorded the number of sales made by its employees in a month: 10, 12, 15, 18, 20, 22, 25, 28, 30, 35. Construct a box-and-whisker plot for this data, indicating the minimum, maximum, Q1, Q2, and Q3 values. (You can sketch the plot or list the values)
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