# 9709 P5 Representation of data Topic Questions

> CIE IAL 9709 P5: every Representation of data topic question from 49 papers (2020–2026), grouped by syllabus point. 167 questions, 458 marks, with direct…

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CIE IAL · Mathematics · 9709 P5 · A Level

Every 9709 P5 Representation of data topic question from the 2020–2027 syllabus, drawn from 49 papers (2020–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time.

- 9709 P5
- 5 subtopics
- 167 topic questions
- 49 papers
- 458 tagged marks
- [Back to Representation of data](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**draw and interpret stem-and-leaf diagrams, box-and-whisker plots… is the most frequently assessed subtopic in Representation of data, with 71 topic questions and 224 marks across 49 papers.** understand and use different measures of central tendency… follows with 52 topic questions and 110 marks. The topic contains 5 subtopics, 167 topic questions and 458 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table.

## Topic question count and mark distribution

Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total.

### Questions by subtopic

question items

- [• draw and interpret stem-and-leaf diagrams, box-and-whisker plots, histograms and cumulative frequency graphs](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/draw-and-interpret-stem-and-leaf-diagrams-box-and-whisker-plots-histograms-and/) (49 papers) — 71 · 35.0%
- [• understand and use different measures of central tendency (mean, median, mode) and variation (range, interquartile range, standard deviation)](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/understand-and-use-different-measures-of-central-tendency-mean-median-mode-and/) (36 papers) — 52 · 25.6%
- [• calculate and use the mean and standard deviation of a set of data (including grouped data) either from the data itself or from given totals $\Sigma x$ and $\Sigma x^2$, or coded totals $\Sigma(x-a)$ and $\Sigma(x-a)^2$, and use such totals in solving problems which may involve up to two data sets](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/calculate-and-use-the-mean-and-standard-deviation-of-a-set-of-data-including-grouped/) (38 papers) — 46 · 22.7%
- [• use a cumulative frequency graph](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/use-a-cumulative-frequency-graph/) (17 papers) — 25 · 12.3%
- [• select a suitable way of presenting raw statistical data, and discuss advantages and/or disadvantages that particular representations may have](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/select-a-suitable-way-of-presenting-raw-statistical-data-and-discuss-advantages-and/) (8 papers) — 9 · 4.4%

### Marks by subtopic

marks

- [• draw and interpret stem-and-leaf diagrams, box-and-whisker plots, histograms and cumulative frequency graphs](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/draw-and-interpret-stem-and-leaf-diagrams-box-and-whisker-plots-histograms-and/) (49 papers) — 224 · 41.5%
- [• calculate and use the mean and standard deviation of a set of data (including grouped data) either from the data itself or from given totals $\Sigma x$ and $\Sigma x^2$, or coded totals $\Sigma(x-a)$ and $\Sigma(x-a)^2$, and use such totals in solving problems which may involve up to two data sets](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/calculate-and-use-the-mean-and-standard-deviation-of-a-set-of-data-including-grouped/) (38 papers) — 141 · 26.1%
- [• understand and use different measures of central tendency (mean, median, mode) and variation (range, interquartile range, standard deviation)](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/understand-and-use-different-measures-of-central-tendency-mean-median-mode-and/) (36 papers) — 110 · 20.4%
- [• use a cumulative frequency graph](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/use-a-cumulative-frequency-graph/) (17 papers) — 52 · 9.6%
- [• select a suitable way of presenting raw statistical data, and discuss advantages and/or disadvantages that particular representations may have](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/select-a-suitable-way-of-presenting-raw-statistical-data-and-discuss-advantages-and/) (8 papers) — 13 · 2.4%

## Subtopic comparison matrix

Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list.

| Subtopic | Topic questions | Papers | Marks | Years | |
| --- | --- | --- | --- | --- | --- |
| **[• calculate and use the mean and standard deviation of a set of data (including grouped data) either from the data itself or from given totals $\Sigma x$ and $\Sigma x^2$, or coded totals $\Sigma(x-a)$ and $\Sigma(x-a)^2$, and use such totals in solving problems which may involve up to two data sets](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/calculate-and-use-the-mean-and-standard-deviation-of-a-set-of-data-including-grouped/)** | 46 | 38 | 141 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/calculate-and-use-the-mean-and-standard-deviation-of-a-set-of-data-including-grouped/) |
| **[• draw and interpret stem-and-leaf diagrams, box-and-whisker plots, histograms and cumulative frequency graphs](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/draw-and-interpret-stem-and-leaf-diagrams-box-and-whisker-plots-histograms-and/)** | 71 | 49 | 224 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/draw-and-interpret-stem-and-leaf-diagrams-box-and-whisker-plots-histograms-and/) |
| **[• select a suitable way of presenting raw statistical data, and discuss advantages and/or disadvantages that particular representations may have](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/select-a-suitable-way-of-presenting-raw-statistical-data-and-discuss-advantages-and/)** | 9 | 8 | 13 | 2020–2025 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/select-a-suitable-way-of-presenting-raw-statistical-data-and-discuss-advantages-and/) |
| **[• understand and use different measures of central tendency (mean, median, mode) and variation (range, interquartile range, standard deviation)](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/understand-and-use-different-measures-of-central-tendency-mean-median-mode-and/)** | 52 | 36 | 110 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/understand-and-use-different-measures-of-central-tendency-mean-median-mode-and/) |
| **[• use a cumulative frequency graph](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/use-a-cumulative-frequency-graph/)** | 25 | 17 | 52 | 2020–2026 | [Open topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/use-a-cumulative-frequency-graph/) |

## Browse every topic question

- [• calculate and use the mean and standard deviation of a set of data (including grouped data) either from the data itself or from given totals $\Sigma x$ and $\Sigma x^2$, or coded totals $\Sigma(x-a)$ and $\Sigma(x-a)^2$, and use such totals in solving problems which may involve up to two data sets](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/calculate-and-use-the-mean-and-standard-deviation-of-a-set-of-data-including-grouped/) — 46 question items · 38 papers — 141 marks · 2020–2026
- [• draw and interpret stem-and-leaf diagrams, box-and-whisker plots, histograms and cumulative frequency graphs](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/draw-and-interpret-stem-and-leaf-diagrams-box-and-whisker-plots-histograms-and/) — 71 question items · 49 papers — 224 marks · 2020–2026
- [• select a suitable way of presenting raw statistical data, and discuss advantages and/or disadvantages that particular representations may have](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/select-a-suitable-way-of-presenting-raw-statistical-data-and-discuss-advantages-and/) — 9 question items · 8 papers — 13 marks · 2020–2025
- [• understand and use different measures of central tendency (mean, median, mode) and variation (range, interquartile range, standard deviation)](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/understand-and-use-different-measures-of-central-tendency-mean-median-mode-and/) — 52 question items · 36 papers — 110 marks · 2020–2026
- [• use a cumulative frequency graph](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/representation-of-data/use-a-cumulative-frequency-graph/) — 25 question items · 17 papers — 52 marks · 2020–2026

## Other topics in 9709 P5

- [Discrete random variables 229 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/discrete-random-variables/)
- [Permutations and combinations 170 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/permutations-and-combinations/)
- [Probability 199 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/probability/)
- [The normal distribution 148 question items](https://www.examsci.com/topics/cie-ial/mathematics/9709-p5/the-normal-distribution/)

## Topic question rules and edge cases

**How many subtopics does Representation of data contain?**

This page lists 5 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions.

**How are the subtopic question and mark totals calculated?**

A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them.

**Why do some subtopics have no numbered prefix?**

Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically.

**Is the LaTeX rendered without JavaScript?**

Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site.

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