Averages and Range Maths Lessons & Worksheets (KS3, GCSE, IGCSE & A-Level)

Curriculum Hub → Maths Lessons → Statistics → Averages and Range

This page brings together ready-to-teach averages and range maths lessons for Key Stage 3, GCSE / IGCSE and A-Level. Browse the full collection, including mean, median and mode from lists and tables, grouped data and stem-and-leaf work, interpreting spread with the range, and coding data for Year 1 statistics, with each lesson designed to support clear modelling, independent practice and exam preparation.

  • Ready-to-teach averages and range lessons
  • Presentations, worksheets and structured practice
  • Key Stage 3, GCSE / IGCSE and A-Level coverage
  • Scheme of work links for curriculum planning

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Use the sections below to jump straight to Key Stage 3, GCSE / IGCSE or A-Level averages and range lessons.
Each resource is designed to reduce planning time and support student progression.

Jump to:  Key Stage 3 Averages and Range  |  GCSE / IGCSE Averages and Range  |  A-Level Averages and Range

Averages and Range: Key Stage 3

These Key Stage 3 averages and range lessons introduce summary measures and simple representations before comparing distributions. Topics include:

  • Calculating the mean average from data in a list
  • Mean average and range used together to compare data sets
  • Median and mode averages from listed data
  • Drawing stem-and-leaf diagrams with a key, and interpreting diagrams using averages and the range
  • Comparing two sets of data using back-to-back stem-and-leaf diagrams

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Ages 11 - 13

Averages using the Median and Mode

Ages 11 - 13

Comparing Stem and Leaf Diagrams

Ages 11 - 13

Drawing Stem and Leaf Diagrams

Ages 11 - 13

How to Calculate the Mean Average

Ages 11 - 13

Mean Average and Range

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Averages and Range: GCSE / IGCSE

These GCSE / IGCSE averages and range lessons consolidate calculation methods and extend to grouped data, frequency tables and consistency interpreted with the range. Topics include:

  • Mean average from discrete data
  • Mean average from a frequency table
  • Estimated mean average from grouped frequency tables
  • Median and mode averages from discrete data presented as a list
  • Stem-and-leaf diagrams: representing data and calculating averages from a stem-and-leaf display
  • Using the range alongside averages to describe consistency in a data set

Used in:

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Ages 14 - 16

Mean Average from a Frequency Table

Ages 14 - 16

Mean Average from Discrete Data

Ages 14 - 16

Mean Average from Grouped Data

Ages 14 - 16

Median and Mode Averages

Ages 14 - 16

Reverse Mean Problems

Ages 14 - 16

Stem & Leaf Diagrams

Ages 14 - 16

Using the Range

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Averages and Range: A-Level

These A-Level statistics lessons connect summary measures with transformations of data, supporting work on location and spread in Year 1 statistics. Topics include:

  • Coding data using linear coding rules and interpreting the effect on summary statistics

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Ages 16 +

Coding Data

Ages 16 +

Measures of Central Tendency

Ages 16 +

Measures of Location

Ages 16 +

Variance and Standard Deviation

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