Skip to main content

Help at home · Maths

How to explain averages: mean, median, mode and range to your child

Find the mean, median, mode or range of a set of numbers, or work backwards from a mean to a missing value.

The note

How schools teach it now

Year 6 teaches the mean as 'sharing out equally': add up the values and divide by how many there are. Median (the middle value in order), mode (the most common) and range (largest minus smallest) are usually Year 7 but appear in many 11+ papers.

5-minute kitchen-table activity

Roll a dice seven times and write down the scores. Your child puts them in order, then finds the mode, median, range and mean. Try it again with the family's shoe sizes.

Worked example

The mean of four numbers is 9. Three of them are 6, 8 and 11. What is the fourth number?

  1. The total of all four is 4 × 9 = 36.
  2. The three we know add up to 6 + 8 + 11 = 25.
  3. 36 − 25 = 11.

Answer: 11

Common mistakes to watch for

  • Finding the median without putting the numbers in order first.
  • Giving the range as '3 to 11' instead of one number (8).
  • Dividing by the wrong count when finding the mean.

Encouragement

Try saying
“The mean is sharing out fairly. Let's try it.”
Rather than
“There are too many words to remember.”

Practise averages: mean, median, mode and range with marked questions

Academy11+ marks every answer, shows how your child is doing in each topic and puts the right home-help note next to the ones they find hard.