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: $\quad 3, \; 7, \; 4, \; 7, \; 9$ . Write down the mode.
Level 1 · 1 markTry it
2
Here are five numbers: $\quad 3, \; 7, \; 4, \; 7, \; 9$ . Work out the median.
Level 1 · 2 marksTry it
3
Here are five numbers: $\quad 3, \; 7, \; 4, \; 7, \; 9$ . Work out
(a) the mean and (b) the range.
Level 1 · 3 marksTry it
4
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
5
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

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