Mathematics (US) - 0444 CIE

Histograms With Frequency Density

Overview

A histogram looks like a bar chart, but when the class widths are unequal a fair picture needs the bars' areas, not their heights, to show the frequencies. The height then becomes the frequency density.

In this lesson you will draw and interpret histograms with unequal class intervals using frequency density.

Objectives

  1. Draw and interpret histograms with unequal intervals using frequency density.

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Lesson Note

Frequency density makes histograms with unequal intervals honest, so the eye reads the data correctly. It is the standard way to display continuous grouped data.

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Lesson Evaluation

Congratulations on completing the lesson on Histograms With Frequency Density. 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. On a histogram with unequal widths, the bar height represents: A. frequency B. frequency density C. class width D. the mean Answer: B
  2. Frequency density equals: A. frequency x width B. frequency / class width C. width / frequency D. frequency + width Answer: B
  3. A class of width 20 has frequency 30. Its frequency density is: A. 0.67 B. 1.5 C. 10 D. 600 Answer: B
  4. On a histogram the frequency is given by the bar's: A. height B. width C. area D. colour Answer: C
  5. A bar has height 2 over a width 10. The frequency is: A. 5 B. 12 C. 20 D. 0.2 Answer: C

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