# Topic Questions: • understand the distinction between a sample and a population, and appreciate the necessity for randomness in choosing samples — 9709 P6 Sampling and estimation > 13 9709 P6 Sampling and estimation topic questions (18 marks) on understand the distinction between a sample and a… — 9 papers, 2020–2025. Open the exact… - Canonical HTML: 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/ - Markdown mirror: 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/index.md --- CIE IAL · Mathematics · 9709 P6 · Sampling and estimation 13 9709 P6 Sampling and estimation topic questions are tagged to this syllabus point across 9 papers (2020–2025). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 13 topic questions - 9 papers - 18 tagged marks - 7.0% of topic questions - 3.5% of topic marks - 2020–2025 - 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 9 9709 P6 papers across 2020–2025, contributing 13 topic questions and 18 marks.** The most recent appearance is 9709/62 May/June 2025. That equals 7.0% of the 187 topic questions and 3.5% 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 | | --- | --- | --- | --- | --- | --- | --- | | [**9709/62** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2025-may-june-9709-62/#q-1) | **Q1** Random Student Selection and Difference Distribution - CIE A-Level Statistics Q1 | FRQ | 1 of 2 parts ((a)) | 1 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=982f1712-c9ba-4c4e-9a29-35443c2d9b8a&question_id=7ad9abb7-fc1c-4831-a1ff-bbe0aeb59e3e&source_detail=9709%2F62+May%2FJune+2025) | | [**9709/63** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2025-may-june-9709-63/#q-4) | **Q4** Random Selection using Coins and Dice - CIE A-Level Mathematics Q4 | FRQ | 2 parts ((a), (b)) | 4 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=8986ca9e-f4c8-452f-9d4f-779f9ae8341c&question_id=5edfd657-a063-4570-9dc0-5d1fbb5328dc&source_detail=9709%2F63+May%2FJune+2025) | | [**9709/65** May/June 2025 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2025-may-june-9709-65/#q-3) | **Q3** Random Sampling Method via Calculator - CIE 9709 June 2025 Paper 65 Q3 | FRQ | 3 of 4 parts ((a), (b)(i), (b)(ii)) | 3 of 4 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=627bd8eb-aabe-437a-ad23-57bfdea3384a&question_id=f575ee68-69b7-4d22-853e-02eac2edf49f&source_detail=9709%2F65+May%2FJune+2025) | | [**9709/62** May/June 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2024-may-june-9709-62/#q-2) | **Q2** Random Digits Sampling - CIE P6 Q2 | FRQ | 1 of 3 parts ((a)) | 2 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=559f71e6-d55f-40d6-9635-11c05b20209e&question_id=7c1d71ac-3c5c-428c-8125-e19ce8e2aaba&source_detail=9709%2F62+May%2FJune+2024) | | [**9709/62** March 2024 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2024-march-9709-62/#q-1) | **Q1** Unbiased Estimates of Insect Lengths - CIE Mathematics Q1 | FRQ | 1 of 2 parts ((b)) | 1 of 4 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=2951c4cd-f503-4763-8cba-2310b86b2379&question_id=a9aa0e2b-3535-4374-bb9e-86e2df385371&source_detail=9709%2F62+March+2024) | | [**9709/63** May/June 2023 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2023-may-june-9709-63/#q-2) | **Q2** Random Digit Sampling Method - CIE 9709 S23 Paper 63 Q2 | FRQ | 1 of 2 parts ((a)) | 2 of 3 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7c997abc-3f3f-417d-b55f-135f68c8fc81&question_id=e1804020-87c5-4af3-8c5c-cf7caae1930a&source_detail=9709%2F63+May%2FJune+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-3) | **Q3** Battery Life Hypothesis Test and Confidence Interval - CIE A-Level Mathematics Q3 | FRQ | 1 of 3 parts ((a)) | 1 of 9 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=bfa9969a-81b8-43b1-9447-bf005a19606f&question_id=14c46466-c9fb-4bd9-bbbc-348e54bd6723&source_detail=9709%2F63+May%2FJune+2022) | | [**9709/62** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2021-october-november-9709-62/#q-2) | **Q2** Survey about Musical Preferences - CIE A Level Mathematics 2021 Nov Paper 62 Q2 | FRQ | 1 of 2 parts ((b)) | 2 of 3 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=56c5403c-39cb-477e-a558-1c860c2f47e6&question_id=2fecef1f-3a48-4a74-9e0b-e24011705b5c&source_detail=9709%2F62+October%2FNovember+2021) | | [**9709/62** October/November 2021 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2021-october-november-9709-62/#q-4) | **Q4** Firework Duration Hypothesis Test - CIE A Level Mathematics 2021 Nov Paper 62 Q4 | FRQ | 1 of 3 parts ((a)) | 1 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=56c5403c-39cb-477e-a558-1c860c2f47e6&question_id=5c9815e2-56d8-47ea-8194-6ed8de8879f4&source_detail=9709%2F62+October%2FNovember+2021) | | [**9709/61** October/November 2020 · CIE IAL](https://www.examsci.com/past-papers/cie-ial/mathematics/9709-p6/2020-october-november-9709-61/#q-2) | **Q2** Travel Questionnaire Survey - CIE 9709 Nov 2020 Paper 61 Q2 | FRQ | 1 of 3 parts ((c)) | 1 of 7 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=93f29798-f845-4cf9-b116-efd0f6ef4f7c&question_id=3594a99f-4e20-4e88-a7e4-c6e8ae140958&source_detail=9709%2F61+October%2FNovember+2020) | ## 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 - [• use the Central Limit Theorem where appropriate](https://www.examsci.com/topics/cie-ial/mathematics/9709-p6/sampling-and-estimation/use-the-central-limit-theorem-where-appropriate/) — 25 question items · 19 papers — 55 marks · 2020–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 10 question stems cover this subtopic across 9 papers, but only 13 tagged parts and 18 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 2020–2025. 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. --- Full page with native tables, bar charts and Practice Hub links: 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/