Learning pack · IGCSE handout

Histograms

What's in this pack: printable worksheet PDF, matching answers PDF (IGCSE / Secure–Stretch practice). Histograms use frequency density when class widths vary: area of each bar represents frequency.

Resources at the top · full summary · videos with short notes below.

🎒 Resources in this pack

Jump straight to the printable files, or scroll to the summary and videos.

Scaffolded Learning Sheet — attempt the worksheet, then use the Answers for a full written solution.

📝 Open Learning Sheet ✅ Open answers 🎬 More topic videos (3)📖 Full summary

Files: 33_histograms_handout.pdf · 33_histograms_handout_answers.pdf

Full topic summary

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

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 $5$ , frequency $20$ . FD?

Working

4

FD = frequency ÷ width.

Worked example 2 — Area equals frequency

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

Working

12

Bar area = frequency.

Worked example 3 — Unequal classes

Why use frequency density?

Working

\text{so area still equals frequency}

Widths differ.

🎬 Topic videos

Drawing Histograms - GCSE Higher Maths
1st Class Maths · 5 min
Drawing histograms. CIE 0580 / Pearson 4MA1.
Histograms - Year 1 Statistics [A-level]
1st Class Maths · 22 min
Classroom-ready explain of charts & graphs, data literacy. Use when teaching this topic in Lower Secondary / IGCSE.
Interpreting Histograms - GCSE Higher Maths
1st Class Maths · 22 min
Interpreting histograms (frequency density). CIE 0580 / Pearson 4MA1.

More Lower Secondary packs

Browse the hub Learning Packs & Summary, or open the compact Histograms summary.