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Topic summary · IGCSE handout

Histograms summary

Histograms use frequency density when class widths vary: area of each bar represents frequency.

Files: 33_histograms_handout.pdf · 33_histograms_handout_answers.pdf · free public downloads · diagrams in the PDFs

Key learning points

  • Frequency density = frequency ÷ class width.
  • Unequal widths still work if you use density on the vertical axis.
  • Estimate frequencies from areas when reading a drawn histogram.

Worked example 1 — Frequency density

Width 55, frequency 2020. FD?

FDw

Working

44

FD = frequency ÷ width.

Worked example 2 — Area equals frequency

FD =3=3, width =4=4. Frequency?

Working

1212

Bar area = frequency.

Worked example 3 — Unequal classes

Why use frequency density?

Working

so area still equals frequency\text{so area still equals frequency}

Widths differ.

Scaffolded Learning Sheet and answers (PDFs)

This page is a short, searchable overview for revision and search engines. Use the Scaffolded Learning Sheet first, then the Answers PDF for a full written solution. The printable PDFs remain the main classroom resource.

Histograms summary — worksheet & answers PDF