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Using Histograms for Estimation

Part of Histograms — GCSE Mathematics

This deep dive covers Using Histograms for Estimation 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 9 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 9 of 9

Practice

14 questions

Recall

12 flashcards

Using Histograms for Estimation

Estimating the Mean: Use the midpoint of each class interval and the frequency:

Estimated Mean = Sum(midpoint x frequency) ÷ Sum(frequency)

Estimating the Median: Find the class containing the middle value, then use linear interpolation within that class.

Reading from Histograms:

  • Modal Class: The class with the highest frequency density
  • Total Frequency: Sum of all bar areas
  • Frequency in Range: Sum areas of relevant bars
  • Distribution Shape: Look at overall pattern of bars

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.

Drawing Histograms: Step-by-StepThe 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 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.

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Drawing Histograms: Step-by-Step

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