Understanding Quartiles Worksheet
This worksheet helps grade 9 students understand and calculate quartiles (Q1, Q2, Q3) and the interquartile range (IQR) for various data sets.
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Understanding Quartiles
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Read each question carefully and provide the requested information. Show all your work for calculation questions.
1. Quartiles divide a data set into equal parts.
2. The second quartile (Q2) is also known as the .
3. The interquartile range (IQR) is the difference between the quartile and the quartile.
4. Briefly explain the purpose of calculating quartiles in data analysis.
For the following data set: 12, 15, 18, 20, 22, 25, 28, 30, 32, 35, 38
5. Find the median (Q2).
6. Find the first quartile (Q1).
7. Find the third quartile (Q3).
8. Calculate the Interquartile Range (IQR).
9. Plot the median, Q1, and Q3 for the data set from the previous section on the number line below. Label each point clearly.
10. Which of the following is NOT a measure of central tendency but rather a measure of spread?
Mean
Median
Mode
Interquartile Range
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