Graphs: Averages and range

To find an average of a set of numbers, add them all up and divide by the total amount of numbers. The range is the difference between the largest and the smallest numbers in the set. They are useful in sports.

Quick tips for tutors

Averages and range includes:

  • Explanation of range and the different types of average
  • Worked examples of the process for calculating the arithmetic mean, median and mode
  • Activities to practise extracting information from tables, charts and diagrams to calculate range and average.
Back to top

Downloadable Factsheets

Entry 1 & 2 - Price range

An introduction to price ranges.

Entry 1 & 2 - Price range

Entry 1 & 2 - What is average?

An introduction to averages.

Entry 1 & 2 - What is average?

Level 1 - Understanding decimal answers

Summary of how some averages may be fractions or parts of a whole number.

Level 1 - Understanding decimal answers

Level 1 - Averages glossary

Summary of some of the key words used in discussion of averages.

Level 1 - Averages glossary

Level 1 - Understanding distorted averages

Summary of how an average can sometimes give a misleading impression of a situation by distorting values.

Level 1 - Understanding distorted averages

Level 1 - Understanding averages

Summary of what an average is, how to calculate it and the contexts in which it used.

Level 1 - Understanding averages

Level 1 - Calculating the mean

How to work out the mean value of a set of figures by adding, totalling and then dividing, with examples.

Level 1 - Calculating the mean

Level 1 - Calculating the range

How to work out range, the difference between the highest and lowest values in a set of data, with examples.

Level 1 - Calculating the range

Level 1 / 2 - Calculating the mode

How to work out the mode, the most common item in a set of data, with examples.

Level 1 / 2 - Calculating the mode

Level 1 / 2 - Calculating the median

How to work out the median, the middle value of a set of data when the figures are written in order, with examples.

Level 1 / 2 - Calculating the median

Level 1 / 2 - Comparing mean, median and mode

How to analyse data effectively by comparing the results derived from calculating mean, median and mode.

Level 1 / 2 - Comparing mean, median and mode

Downloadable Worksheets

Entry 3 - Finding totals from tables and charts

Exercise in identifying totals by pairing calculations with data from tables and charts.

Entry 3 - Finding totals from tables and charts

Entry 3 - Organising and comparing data

Exercise in sorting data from a chart and calculating the difference between highest and lowest numbers.

Entry 3 - Organising and comparing data

Level 1 - Calculating averages

Exercise in working out averages by adding and then dividing.

Level 1 - Calculating averages

Level 1 - Calculating ranges and averages: Problems

Exercise in working out ranges and averages in word problems using whole numbers, decimals and percentages.

Level 1 - Calculating ranges and averages: Problems

Level 1 - Calculating averages: Problems

Exercise in working out averages in different units of measurement.

Level 1 - Calculating averages: Problems

Level 1 - Shopping problems 1

Exercise in working out averages for household shopping bills.

Level 1 - Shopping problems 1

Level 1 - Calculating ranges and averages

Exercise in working out ranges and averages using whole numbers and decimals.

Level 1 - Calculating ranges and averages
Back to top
Back to top