A-level · Data presentation

Measures of location — mean, median, mode and quartilesExam-style questions

The three averages (mean, median, mode) and the other measures of location (quartiles and percentiles); how to find them from a list and from a frequency table; and how to estimate the median and quartiles of grouped continuous data by linear interpolation.

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11 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4

1
The number of times, $x$ , that each of $50$ households used a recycling centre in a month is summarised below.

$\begin{array}{|c|c|c|c|c|c|}\hline x & 0 & 1 & 2 & 3 & 4 \\ \hline \text{Frequency} & 5 & 12 & 18 & 9 & 6 \\ \hline\end{array}$

Find the mean and the standard deviation of $x$ . (4 marks)
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2
Find the mean of the data $12, 15, 11, 18, 14$ .
Level 2 · 2 marksTry it
3
Find the median of the data $7, 3, 9, 5, 11, 8$ .
Level 2 · 2 marksTry it