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Histograms

Revise Histograms in Statistics for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency exam topic, so students should expect to explain it clearly under timed conditions.

Study this topic

1

The Data Detective

Introduction2

Key Facts About Histograms

Key Facts3

Histogram Anatomy

Diagram4

Understanding Frequency Density

Deep Dive5

Frequency Density Formula

Equations6

Example Calculation

Deep Dive7

Interpreting Histogram Shapes

Diagram8

Drawing Histograms: Step-by-Step

Exam Tips9

Using Histograms for Estimation

Deep Dive

Sample Flashcards

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
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.

Sample Questions

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

14

exam-style questions

12

revision flashcards

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