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Understanding Frequency Density

Part of Histograms — GCSE Mathematics

This deep dive covers Understanding Frequency Density within Histograms for GCSE Mathematics. Revise Histograms in Statistics for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 4 of 9 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 4 of 9

Practice

14 questions

Recall

12 flashcards

Understanding Frequency Density

When class intervals have different widths, we can't just use frequency on the y-axis because it would be misleading. Frequency density ensures fair comparison.

Keep building this topic

Read this section alongside the surrounding pages in Histograms. That gives you the full topic sequence instead of a single isolated revision point.

Histogram AnatomyFrequency Density FormulaThe Data DetectiveKey Facts About Histograms

Practice Questions for Histograms

A histogram shows the heights (cm) of plants in a garden with the following frequency densities: - 0 =< h < 5: frequency density = 4 - 5 =< h < 15: frequency density = 3 - 15 =< h < 25: frequency density = 6 - 25 =< h < 40: frequency density = 2 What is the modal class?

  • A. 0 =< h < 5
  • B. 5 =< h < 15
  • C. 15 =< h < 25
  • D. 25 =< h < 40
1 markstandard

A histogram is drawn with unequal class widths. A student says: 'I can just use frequency on the y-axis instead of frequency density — the shape of the histogram will look the same.' Is the student correct? Explain your answer.

2 marksstandard

Quick Recall Flashcards

What is the modal class in a histogram?
The modal class is the class interval with the highest frequency density. It is the class represented by the tallest bar on the histogram. Note: If class widths are equal, the modal class also has the highest frequency.
What is a histogram?
A histogram is a statistical diagram used to display grouped continuous data. Key features: - Bars touch (no gaps) - y-axis shows frequency density - Area of each bar = frequency for that class

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Histogram Anatomy

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Frequency Density Formula