Practice Interquartile Range (iqr) (4.2) - Descriptive Statistics - IB 10 Mathematics – Group 5, Statistics & Probability
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Interquartile Range (IQR)

Practice - Interquartile Range (IQR)

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Calculate the IQR for the dataset: 2, 5, 7, 10, 12.

💡 Hint: Order the dataset first and find Q1 and Q3.

Question 2 Easy

What does it mean if the IQR is small?

💡 Hint: Think about how close data points are to each other.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the IQR measure?

The average of the dataset
The spread of the middle 50% of the data
The maximum value in the dataset

💡 Hint: Think about which part of the data is being considered.

Question 2

True or False: A high IQR indicates low variability.

True
False

💡 Hint: Consider how spread out numbers affect variability.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You have two datasets: A - 2, 3, 5, 7, 11 and B - 1, 4, 4, 4, 10. Calculate the IQR for both and discuss the differences.

💡 Hint: Don't forget to sort both datasets before finding Q1 and Q3.

Challenge 2 Hard

A teacher wants to find out the spread of grades in two classes. Class 1 has the following grades: 65, 78, 85, 90, 92. Class 2 has 55, 60, 85, 90, 95. Find the IQR for both classes.

💡 Hint: Remember to calculate quartiles for both after sorting.

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Reference links

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