Learning pack · Foundation · CIE Core
Averages
What's in this pack: printable worksheet PDF, matching answers PDF, and slides (Foundation · CIE Core depth). 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.
Lesson slides · narrated video available
Files: foundation-8 Averages handout.pdf · foundation-8 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 . Mean and median?
Working
Mean = total÷n; median = middle.
Worked example 2 — Mode
Data . Mode?
Working
Most frequent.
Worked example 3 — Mean from frequency
Values 1,2,3 with frequencies 2,3,5. Mean?
Working
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.
More Lower Secondary packs
Browse the hub Learning Packs & Summary, or open the compact Averages summary.