Averages (Year 6)

Practise averages within Statistics for Year 6, with worked examples and instant feedback.

The questions below are generated to match the National Curriculum for Year 6 and get harder as you progress from Rookie to Guru.

Worked examples

RookieRead and interpret directly.

On a frequency table, what does the FREQUENCY column show?

  • How many times each value occurs.
  • The values themselves.
  • The order.
  • The total.

Answer: How many times each value occurs.. Frequency = count of occurrences.

ProCompare and infer.

A sports team scored 12, 18, 25, 7, 18 goals in 5 matches. Find the MEAN.

  • 16
  • 18
  • 12
  • 80

Answer: 16. Sum 80 ÷ 5 = 16.

GuruMulti-step reasoning.

Why does adding 10 to every value in a data set change the MEAN but not the RANGE?

  • Mean depends on each value (so it increases by 10). Range depends only on the GAP between max and min (which is unchanged).
  • Coincidence.
  • Convention.
  • Mean uses different maths.

Answer: Mean depends on each value (so it increases by 10). Range depends only on the GAP between max and min (which is unchanged).. Range = max−min; shift cancels.

Frequently asked questions

What is averages?
Practise averages within Statistics for Year 6, with worked examples and instant feedback.
How can my child practise averages at home?
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