Non-parametric tests: past paper questions
Real questions on non-parametric tests
The newest 20 of 51 written questions. Open one to see it on the real paper.
- 9231/41 · October/November 2025 · Q4[5]
5-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · October/November 2025 · Q1a[1]
1-mark “Explain” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · October/November 2025 · Q4[5]
5-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · October/November 2025 · Q6b[1]
1-mark “Suggest” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · October/November 2025 · Q6c[1]
1-mark “Suggest” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2025 · Q5a[6]
6-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2025 · Q5b[3]
3-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2025 · Q5c[1]
1-mark “Comment” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q5a[6]
6-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · May/June 2025 · Q5b[3]
3-mark “Show” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · May/June 2025 · Q4[8]
8-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · October/November 2024 · Q2a[7]
7-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · October/November 2024 · Q2b[2]
2-mark “Determine” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · October/November 2024 · Q2a[7]
7-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · October/November 2024 · Q2b[2]
2-mark “Determine” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2024 · Q5a[7]
7-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · May/June 2024 · Q5b[1]
1-mark “Compare” question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/43 · May/June 2024 · Q3[7]
7-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/41 · October/November 2023 · Q6[10]
10-mark question — its maths and diagrams are best seen on the paper.
See it on the paper → - 9231/42 · October/November 2023 · Q2b[6]
6-mark question — its maths and diagrams are best seen on the paper.
See it on the paper →
What examiners said
This question required an application of the Wilcoxon signed-rank test. Because of the size of the sample, a normal approximation was required. Many candidates used the correct approach to find the P and Q values from the data, but there were many accuracy errors. Candidates who drew a table with all the relevant values were usually more successful in working accurately than those who annotated th...
— Examiner report, October/November 2023, 9231/41 Q6 (Cambridge)
Almost all candidates made some progress with this question. For a fully correct solution, candidates needed to combine the first two columns and also the last two columns, so that the expected values are all at least 5. A number of candidates combined one pair of columns but not the other. Most candidates knew, and could apply, the correct formula for calculating the test statistic but the correc...
— Examiner report, October/November 2023, 9231/42 Q2(b) (Cambridge)
Only a minority of candidates stated suitable hypotheses. The most common errors were to use µ instead of m or to refer to the median of the data rather than the population median. Most candidates attempted to find a test statistic based on ranks but there were many accuracy errors. A number of candidates who correctly calculated 55 then chose 8 ( 8 + 9 + 1) − 55 = 89 as the test statistic. Candid...
— Examiner report, October/November 2023, 9231/42 Q5(a) (Cambridge)
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