# Topic Questions: • use the fact that $(\bar{X})$ has a normal distribution if $X$ has a normal distribution — 9709 P6 Sampling and estimation

> 14 9709 P6 Sampling and estimation topic questions (41 marks) on use the fact that … has a normal distribution if… — 11 papers, 2021–2026. Open the exact…

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CIE IAL · Mathematics · 9709 P6 · Sampling and estimation

14 9709 P6 Sampling and estimation topic questions are tagged to this syllabus point across 11 papers (2021–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved.

- 14 topic questions
- 11 papers
- 41 tagged marks
- 7.5% of topic questions
- 7.9% of topic marks
- 2021–2026
- Syllabus 2020–2027
- [All 9709 P6 Sampling and estimation topic questions](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/sampling-and-estimation/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**This Sampling and estimation syllabus point appears in 11 9709 P6 papers across 2021–2026, contributing 14 topic questions and 41 marks.** The most recent appearance is 9709/65 May/June 2026. That equals 7.5% of the 187 topic questions and 7.9% of the 517 marks tagged to Sampling and estimation. Only parts tagged to this subtopic are counted, so a four-part question can contribute one item and one part's marks. The table lists every matching question, its tagged parts and marks, with a link back to the paper page. Sessions are newest first, so the statement can be traced back through the full paper history.

## Topic questions by session

Newest sessions first. Parts and marks count only the parts tagged to this subtopic; “x of y parts” shows how much of the question is tagged elsewhere. Select the paper cell to open the matching question on the paper page, or use **Go to Practice Hub** to answer that exact question in the Interactive Practice Hub.

| Paper | Question | Type | Parts | Marks | Difficulty | Practice |
| --- | --- | --- | --- | --- | --- | --- |
| [**9709/65** May/June 2026 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2026-may-june-9709-65/#q-6) | **Q6** Swan Wingspan Normal Sampling - CIE A-Level Mathematics 2026 Q6 | FRQ | 1 of 3 parts ((a)) | 4 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d2dd7616-bb35-4a90-9d38-94eabdebe7b0&question_id=50b0dda3-48f6-43da-bb40-18277bf81732&source_detail=9709%2F65+May%2FJune+2026) |
| [**9709/65** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2025-may-june-9709-65/#q-5) | **Q5** Linear Combination of Normal Variables and Sample Mean - CIE 9709 June 2025 Paper 65 Q5 | FRQ | 1 part | 5 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=627bd8eb-aabe-437a-ad23-57bfdea3384a&question_id=d61fbd21-a8c8-4aeb-819e-0bfa6f13de87&source_detail=9709%2F65+May%2FJune+2025) |
| [**9709/62** October/November 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2024-october-november-9709-62/#q-4) | **Q4** Sample Mean Distribution - CIE Probability & Statistics 2024 Nov Paper 62 Q4 | FRQ | 2 parts ((a), (b)) | 6 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=fc7fa85c-90ff-4c56-a30e-642dba8c9f91&question_id=94af3114-aa0f-4d84-b304-d1d9a862f564&source_detail=9709%2F62+October%2FNovember+2024) |
| [**9709/61** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2023-october-november-9709-61/#q-1) | **Q1** Sample Mean Distribution - CIE A-Level Maths 2023 | FRQ | 1 part | 3 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=d0b0a284-b938-40b5-8127-f096a430986d&question_id=70f1b631-e0ce-48b2-8d3c-454b16ad0cdb&source_detail=9709%2F61+October%2FNovember+2023) |
| [**9709/62** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2023-october-november-9709-62/#q-4) | **Q4** Tree Height Hypothesis Test - CIE A-Level Mathematics | FRQ | 1 of 3 parts ((c)) | 1 of 5 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=be37d972-339c-4296-b154-d6163cc7bc95&question_id=052f2caa-3ed1-4155-adcb-e9b8edb544e3&source_detail=9709%2F62+October%2FNovember+2023) |
| [**9709/63** October/November 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2023-october-november-9709-63/#q-1) | **Q1** Sample Mean Normal Distribution - CIE A-Level Maths | FRQ | 1 part | 3 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=e083de3a-a73a-40ab-8c97-5eb2697a2544&question_id=10724053-013e-43a2-a364-c5b3cbcd7a41&source_detail=9709%2F63+October%2FNovember+2023) |
| [**9709/63** May/June 2022 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2022-may-june-9709-63/#q-1) | **Q1** Email Character Length Sample Mean - CIE A-Level Mathematics Q1 | FRQ | 1 part | 3 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=bfa9969a-81b8-43b1-9447-bf005a19606f&question_id=d4011e97-c8fa-4e26-8497-ae8a06263e08&source_detail=9709%2F63+May%2FJune+2022) |
| [**9709/61** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2021-october-november-9709-61/#q-1) | **Q1** Sample Mean Distribution of Tree Heights - CIE A Level Probability & Statistics Q1 | FRQ | 2 parts ((a), (b)) | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=4151eee1-49e3-41f7-b157-8751329a74e0&question_id=753e2a31-6bb2-4c1e-acf3-6e7bd732149d&source_detail=9709%2F61+October%2FNovember+2021) |
| [**9709/63** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2021-october-november-9709-63/#q-1) | **Q1** Sample Mean Distribution of Tree Heights - CIE A-Level Probability & Statistics 2 Q1 | FRQ | 2 parts ((a), (b)) | 5 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ebfb10d3-1022-42d9-93d1-3b7c800fa5ee&question_id=0237607f-08c4-40e1-9581-320780d8061a&source_detail=9709%2F63+October%2FNovember+2021) |
| [**9709/61** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2021-may-june-9709-61/#q-2) | **Q2** Student Test Completion Times - CIE A-Level Mathematics | FRQ | 1 of 2 parts ((a)) | 3 of 4 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=06ef86fd-7b9a-4969-a9f3-8d5cc9f747b3&question_id=74877e3d-69ca-46d3-a2a8-1dd98fce7cd0&source_detail=9709%2F61+May%2FJune+2021) |
| [**9709/62** May/June 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2021-may-june-9709-62/#q-4) | **Q4** Wendy's Journey Time Distribution - CIE A-Level Maths 2021 Jun Q4 | FRQ | 1 of 3 parts ((c)) | 3 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=ec6f00c8-7089-4018-92a7-a4ea178e7e0c&question_id=66f40b7b-f2e0-4666-9bab-799a56323187&source_detail=9709%2F62+May%2FJune+2021) |

## Related topic questions in Sampling and estimation

- [• calculate unbiased estimates of the population mean and variance from a sample, using either raw or summarised data](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/sampling-and-estimation/calculate-unbiased-estimates-of-the-population-mean-and-variance-from-a-sample-using/) — 38 question items · 35 papers — 141 marks · 2020–2026
- [• determine and interpret a confidence interval for a population mean in cases where the population is normally distributed with known variance or where a large sample is used](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/sampling-and-estimation/determine-and-interpret-a-confidence-interval-for-a-population-mean-in-cases-where/) — 31 question items · 20 papers — 93 marks · 2020–2026
- [• determine, from a large sample, an approximate confidence interval for a population proportion](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/sampling-and-estimation/determine-from-a-large-sample-an-approximate-confidence-interval-for-a-population/) — 27 question items · 18 papers — 89 marks · 2020–2026
- [• explain in simple terms why a given sampling method may be unsatisfactory](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/sampling-and-estimation/explain-in-simple-terms-why-a-given-sampling-method-may-be-unsatisfactory/) — 10 question items · 10 papers — 11 marks · 2020–2026
- [• recognise that a sample mean can be regarded as a random variable, and use the facts that $\mathrm{E}(\bar{X})=\mu$ and that $\operatorname{Var}(\bar{X})=\frac{\sigma^2}{n}$](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/sampling-and-estimation/recognise-that-a-sample-mean-can-be-regarded-as-a-random-variable-and-use-the-facts/) — 22 question items · 19 papers — 73 marks · 2020–2026
- [• understand the distinction between a sample and a population, and appreciate the necessity for randomness in choosing samples](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/sampling-and-estimation/understand-the-distinction-between-a-sample-and-a-population-and-appreciate-the/) — 13 question items · 9 papers — 18 marks · 2020–2025

## Topic question rules and edge cases

**How many topic questions cover this syllabus point?**

11 question stems cover this subtopic across 11 papers, but only 14 tagged parts and 41 marks belong to it. Other parts of the same questions are assessed under different statements and are excluded from this page.

**Which papers include this subtopic?**

The table lists every matching session from 2021–2026. Each row links to the question anchor on the paper page, where the full paper context and practice entry point are available.

**Why can one question appear under several subtopics?**

The parts of one question can assess different syllabus statements. Each part is counted under its own subtopics, so the same question stem can appear on several subtopic pages while each page lists only the parts and marks tagged to that statement.

**Can I practise these questions with AI marking?**

Yes. Open a paper from the table and use the Interactive Practice Hub entry point. The page itself is static HTML so search engines and retrieval agents can read the full question list without executing JavaScript.

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