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MA33-01 Maths Coming soon

Constructing histograms with frequency density

MA33-01

This lesson is coming soon.

Watch now instead: CS01-00 Chapter intro: Binary and number bases

In this lesson

Calculate frequency density from a grouped frequency table and use it to draw the bars of a histogram, including when class widths are unequal.

What it covers

  • Calculating frequency density = frequency divided by class width for a grouped frequency table
  • Applying the formula when class widths are equal
  • Applying the formula when class widths are unequal, including a much wider final class
  • Choosing a sensible vertical scale and drawing histogram bars at the correct frequency density heights

Key words

frequency densityunequal class widthconstructdraw

For: AQA GCSE 8300, Edexcel GCSE 1MA1, Edexcel IGCSE 4MA1, Eduqas GCSE C300, OCR GCSE J560, Cambridge IGCSE 0580

On the specification

BoardSpecStatement
AQA GCSE 8300S3Construct and interpret diagrams for grouped discrete data and continuous data, ie histograms with equal and unequal class intervals and cumulative frequency graphs, and know their appropriate use
Edexcel GCSE 1MA1S3Construct and interpret diagrams for grouped discrete data and continuous data, i.e. histograms with equal and unequal class intervals and cumulative frequency graphs, and know their appropriate use
Edexcel IGCSE 4MA1H6.1AConstruct and interpret histograms
Eduqas GCSE C300HS4Construct and interpret diagrams for grouped discrete data and continuous data, i.e. histograms with equal and unequal class intervals and cumulative frequency graphs, and know their appropriate use
OCR GCSE J56012.02bInterpret and construct diagrams for grouped data as appropriate, i.e. cumulative frequency graphs and histograms (with either equal or unequal class intervals).
Cambridge IGCSE 0580E9.7Draw and interpret histograms.
For teachers

This GCSE Maths lesson teaches constructing histograms with frequency density. By the end, students should be able to calculate frequency density from a grouped frequency table and use it to draw the bars of a histogram, including when class widths are unequal. It works through two worked examples and the mistakes examiners report.