Foundation & Higher

Averages: GCSE Maths revision

Mean is the total divided by how many. Median is the middle when ordered. Mode is the most common. Range is largest minus smallest — a measure of spread, not an average.

Which average?

Mean uses every value but is pulled by outliers. Median is better for skewed data. Mode is useful for categories (favourite colour).

Try these questions

Cover the answers and have a go first. Worked solutions are underneath.

Question 1 [1 mark]

Mean of 4, 6, 10

Question 2 [1 mark]

Median of 3, 9, 2, 7, 5

Question 3 [1 mark]

Mode of 2, 2, 3, 4, 4, 4, 5

Question 4 [1 mark]

Range of 11, 4, 19, 7

Common mistakes

Answers and working

Q1. 6⅔ or 20/3
Q2. 5
Q3. 4
Q4. 15

Frequently asked questions

What if there are two middle numbers?

For an even count, the median is the mean of the two middle values.

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