Maths Library

Mean, Median, Mode and Range: Year 10 maths

This topic covers calculating measures of central tendency and spread for discrete numerical datasets. Pupils practise finding the mean, median, mode, and range, as well as solving reverse mean problems.

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What this covers

Mean, Median, Mode and Range is taught in Year 10 (age 15 to 16) as a topic to introduce. It sits in the Statistics strand.

Worked example

Find the median of the numbers: 7, 2, 9, 4, 5.

  1. Order the values from least to greatest: 2, 4, 5, 7, 9.
  2. Identify the middle value in the ordered list: 5.

Answer: 5

Difficulty scale

The sheet generator offers five difficulty settings for this topic.

  1. Finding mode and range of small integer sets under 10
  2. Finding median of odd-sized sets and mean of whole-result sets
  3. Finding median of even-sized sets resulting in decimals or whole numbers
  4. Datasets containing larger values or negative numbers with decimal means
  5. Reverse mean problems to find a missing value given the target mean

Common mistakes

  • Forgetting to order the numbers before finding the middle value for the median
  • Dividing by the wrong total count or confusing range as a measure of average

Curriculum links

Indicative matches to Australian Curriculum v9. Check wording and codes against the official document.

  • AC9M10ST01 Compare data distributions using statistical measures of centre, spread, and shape.

Sample sheet and answers

Six questions at the level's usual difficulty. Open the editor to change, add or regenerate any of them.

Mean, Median, Mode and Range

Year 10 maths

Qs
6
Marks
18
NameDateScore / 18
1.
Find the range of 6, 10, 12, 16, 9, 14, 10.
[3]
2.
Find the mean of 8, 8, 2, 11, 5, 5, 10.
[3]
3.
Find the mean of 8, 6, 11, 9, 9, 6, 14.
[3]
4.
Find the mean of 11, 11, 14, 10, 16, 9, 13.
[3]
5.
Find the mean of 3, 2, 8, 2, 2, 9, 2.
[3]
6.
Find the median of 9, 8, 10, 5, 5, 7, 1.
[3]

Answer key

  1. 10Largest 16, smallest 6; 16 − 6 = 10
  2. 7Add: 49; Divide by 7: 49 ÷ 7 = 7
  3. 9Add: 63; Divide by 7: 63 ÷ 7 = 9
  4. 12Add: 84; Divide by 7: 84 ÷ 7 = 12
  5. 4Add: 28; Divide by 7: 28 ÷ 7 = 4
  6. 7Order them: 1, 5, 5, 7, 8, 9, 10; The middle value is 7