GCSE · Averages & range

Mean, median, mode & rangeExam-style questions

The three averages and the range from a raw list — what each one is actually for, why the median needs the data sorted first, why the range is a measure of spread and not an average, and why every reverse-mean question is really a question about the total.

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14 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Here are five numbers.

$4 \qquad 7 \qquad 9 \qquad 12 \qquad x$

The mean of the five numbers is $9$

(a) Work out the value of $x$ . (2 marks)

(b) Work out the range of the five numbers. (1 mark)
Level 2 · 3 marksTry it
2
The mean of five numbers is $8$

One of the numbers is removed. The mean of the remaining four numbers is $7.5$

Work out the number that was removed. (3 marks)
Level 2 · 3 marksTry it
3
Here are the numbers of minutes a school bus was late on each of nine mornings.

$0 \quad 4 \quad 2 \quad 1 \quad 6 \quad 2 \quad 1 \quad 1 \quad 1$

(a) Write down the mode.

(b) Work out the median.

(c) Work out the range.

(d) Work out the mean.
Level 2 · 6 marksTry it