Learning pack · IGCSE handout

Averages

What's in this pack: printable worksheet PDF, matching answers PDF (IGCSE / Secure–Stretch practice). Mean, median, mode and range summarise a data set in different ways. Know which average is appropriate and how outliers shift the mean.

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 (6)📖 Full summary

Files: 7_averages_handout.pdf · 7_averages_handout_answers.pdf

Full topic summary

Mean, median, mode and range summarise a data set in different ways. Know which average is appropriate and how outliers shift the mean.

Key learning points

Mean = total ÷ count; median = middle value once ordered; mode = most frequent.
Range = largest − smallest (a measure of spread, not an average).
For an even count, median is the mean of the two central values.

Worked example 1 — Mean and median

Data $2,3,7,8,10$ . Mean and median?

Working

\bar x=6,\ \text{median}=7

Mean = total÷n; median = middle.

Worked example 2 — Mode

Data $4,4,5,6,6,6,7$ . Mode?

Working

6

Most frequent.

Worked example 3 — Mean from frequency

Values 1,2,3 with frequencies 2,3,5. Mean?

Working

2.3

Σ(value×freq)/Σfreq.

🎬 Topic videos

What's the connection between Arithmetic Mean & Expected Value?
Eddie Woo · 3 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Formal Geometry Proofs (1 of 3: What does it mean to "prove" something?)
Eddie Woo · 5 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Comparing Measures of Central Tendency (1 of 2: Mean & Mode)
Eddie Woo · 9 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Average Rate of Change - Corbettmaths
Corbettmaths · 6 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.
Averages from Grouped Frequency Tables - GCSE Maths
1st Class Maths · 9 min
Useful across Lower Secondary and early IGCSE. Keep LS board tag; exam boards retained for dual-use.
Measures of Central Tendency (1 of 2: Comparing Mean & Median)
Eddie Woo · 15 min
Lower Secondary classroom-friendly explainer. Scaffold→stretch friendly; use with mixed-ability groups.

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