Mathematics (9-1) - 0980 CIE

Cumulative Frequency Diagrams

Overview

A cumulative frequency diagram adds up frequencies as you go, building a smooth rising curve that reveals the median and the spread of a data set at a glance. It is the key to reading quartiles and percentiles from grouped data.

In this lesson (Extended tier) you will draw and interpret cumulative frequency tables and diagrams, and estimate the median, quartiles, percentiles and interquartile range from the curve.

Objectives

  1. Draw and interpret cumulative frequency tables and diagrams.
  2. Estimate and interpret the median, percentiles, quartiles and interquartile range from cumulative frequency diagrams.

Lesson Note

Cumulative frequency turns grouped data into a picture of its spread, letting you read the middle value and how widely the data is spread without listing every item.

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Lesson Evaluation

Congratulations on completing the lesson on Cumulative Frequency Diagrams. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

  1. Cumulative frequency points are plotted at the: A. middle of each group B. upper boundary of each group C. lower boundary D. frequency value Answer: B
  2. For 40 values, the median is read across from a cumulative frequency of: A. 10 B. 20 C. 30 D. 40 Answer: B
  3. The lower quartile of n values is read from a cumulative frequency of: A. n/4 B. n/2 C. 3n/4 D. n Answer: A
  4. If LQ = 11 and UQ = 17, the interquartile range is: A. 6 B. 11 C. 17 D. 28 Answer: A
  5. A cumulative frequency curve is typically: A. a straight line B. a rising S-shape C. a parabola D. a falling line Answer: B

Available on the Green Bridge App

Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.

Full lesson notes with diagrams
AI-powered learning assistant
Study offline, anytime, anywhere
Available on Android, Windows, macOS, and Linux

Available on the Green Bridge App

Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.

Full lesson notes with diagrams
AI-powered learning assistant
Study offline, anytime, anywhere
Available on Android, Windows, macOS, and Linux

Practice Mock Questions

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