# Topic Questions: 3.2 The distribution of the sample mean $\overline{X}$. — WST03 Estimation, confidence intervals and tests > 24 WST03 Estimation, confidence intervals and tests topic questions (88 marks) on 3.2 The distribution of the sample mean …. — 14 papers, 2014–2026. Open… - Canonical HTML: https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-2-the-distribution-of-the-sample-mean-overline-x/ - Markdown mirror: https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-2-the-distribution-of-the-sample-mean-overline-x/index.md --- Edexcel IAL · Mathematics · WST03 · Estimation, confidence intervals and tests 24 WST03 Estimation, confidence intervals and tests topic questions are tagged to this syllabus point across 14 papers (2014–2026). Only the parts whose knowledge graph matches this syllabus statement are counted, and the table shows which parts of each question are involved. - 24 topic questions - 14 papers - 88 tagged marks - 13.3% of topic questions - 15.0% of topic marks - 2014–2026 - Syllabus 2014–current - [All WST03 Estimation, confidence intervals and tests topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/) - [All paper codes](https://www.examsci.com/topics/) Core finding **This Estimation, confidence intervals and tests syllabus point appears in 14 WST03 papers across 2014–2026, contributing 24 topic questions and 88 marks.** The most recent appearance is WST03/01 January 2026. That equals 13.3% of the 181 topic questions and 15.0% of the 587 marks tagged to Estimation, confidence intervals and tests. 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 | | --- | --- | --- | --- | --- | --- | --- | | [**WST03/01** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2026-january-wst03-01/#q-6) | **Q6** Sampling Distribution of Sample Mean - Jan 2026 Q6 | FRQ | 2 parts ((a), (b)) | 8 | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=c812093d-e97c-4379-b76c-a478305cbab6&question_id=f8d6f2ec-6bcb-4d60-a5dd-8719e9a8e8a0&source_detail=WST03%2F01+January+2026) | | [**WST03/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2026-january-wst03-02/#q-2) | **Q2** Estimators and Continuous Uniform Distribution - Edexcel IAL Statistics S3 Jan 2026 Q2 | FRQ | 2 of 3 parts ((a), (c)) | 6 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=15320329-0312-440a-9ea2-5426882898dc&question_id=73c0c98f-9d53-41e8-8254-502693e0dd71&source_detail=WST03%2F02+January+2026) | | [**WST03/02** January 2026 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2026-january-wst03-02/#q-7) | **Q7** Linear Combinations of Normal Random Variables - Edexcel IAL Statistics S3 Jan 2026 Q7 | FRQ | 1 of 3 parts ((ii)) | 7 of 15 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=15320329-0312-440a-9ea2-5426882898dc&question_id=d780ba0e-1c4b-4e8e-a9ec-00842a087eb0&source_detail=WST03%2F02+January+2026) | | [**WST03/01** June 2025 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2025-june-wst03-01/#q-7) | **Q7** Sampling Distribution of Sample Mean - Edexcel IAL S3 2025 Jun Q7 | FRQ | 3 parts ((a), (b), (c)) | 11 | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=94cad3c8-49e2-4f35-aae5-7bd545f67979&question_id=3d081643-a533-4e12-b8f4-4fc684c89fb0&source_detail=WST03%2F01+June+2025) | | [**WST03/01** June 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2024-june-wst03-01/#q-7) | **Q7** Central Limit Theorem and Confidence Intervals - Edexcel IAL Statistics S3 2024 Jun Q7 | FRQ | 1 of 2 parts ((a)) | 3 of 8 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f7f0aa45-9c3a-48d2-90cb-e489f43a4093&question_id=513b2fc6-6393-436f-bb2f-aa1534fb6ad9&source_detail=WST03%2F01+June+2024) | | [**WST03/01** January 2024 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2024-january-wst03-01/#q-6) | **Q6** Confidence Intervals and Summary Statistics - Edexcel IAL Statistics S3 January 2024 Q6 | FRQ | 1 of 3 parts ((c)) | 7 of 15 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=385c0d2e-f99e-4051-b5a8-679eaf2f864e&question_id=7f85764b-90b9-40b3-9f9b-c31f7fc1edf0&source_detail=WST03%2F01+January+2024) | | [**WST03/01** January 2023 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2023-january-wst03-01/#q-6) | **Q6** Confidence Intervals and Central Limit Theorem - Edexcel IAL S3 Jan 2023 Q6 | FRQ | 1 of 4 parts ((d)) | 3 of 10 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=37dceb98-c4fd-4068-a019-f82d1480719f&question_id=c8658d10-c657-4c99-a2eb-a7fc6cbf022c&source_detail=WST03%2F01+January+2023) | | [**WST03/01** June 2022 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2022-june-wst03-01/#q-4) | **Q4** Continuous Uniform Distribution and CLT - Edexcel IAL Statistics S3 2022 Jun Q4 | FRQ | 3 of 4 parts ((a), (b), (c)) | 9 of 10 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b832a197-23cc-4a97-840e-3d725c593e54&question_id=6cd66fc9-57d2-4a6b-9244-0845306cfe40&source_detail=WST03%2F01+June+2022) | | [**WST03/01** October 2021 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2021-october-wst03-01/#q-7) | **Q7** Linear Combinations of Normal Random Variables - Edexcel IAL Statistics S3 Oct 2021 Q7 | FRQ | 1 of 3 parts ((b)) | 5 of 17 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0df5b314-5109-4774-8589-3c3c1ab1330a&question_id=166ef3c1-63b5-40c2-9f07-1e7fb497d7d2&source_detail=WST03%2F01+October+2021) | | [**WST03/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2020-october-wst03-01/#q-1) | **Q1** Unbiased and Biased Estimators - Edexcel IAL Statistics S3 June 2020 Q1 | FRQ | 1 of 2 parts ((a)) | 2 of 4 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=603fe04f-c4c9-49f8-9768-4d978b746744&question_id=2cdca3b8-f899-4e61-95db-4e82a0accb32&source_detail=WST03%2F01+October+2020) | | [**WST03/01** October 2020 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2020-october-wst03-01/#q-6) | **Q6** Poisson Confidence Intervals and Central Limit Theorem - Edexcel IAL Statistics S3 June 2020 Q6 | FRQ | 1 of 3 parts ((a)) | 2 of 8 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=603fe04f-c4c9-49f8-9768-4d978b746744&question_id=dff39b63-a202-46f5-9e5f-273902fc96db&source_detail=WST03%2F01+October+2020) | | [**WST03/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2019-june-wst03-01/#q-4) | **Q4** Confidence Intervals - Edexcel IAL Statistics S3 June 2019 Q4 | FRQ | 1 of 3 parts ((b)) | 1 of 6 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7627ec36-90f7-46d3-9d56-99726b95349e&question_id=47bd83d4-6c10-491d-9fca-b7ac7e5931f8&source_detail=WST03%2F01+June+2019) | | [**WST03/01** June 2019 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2019-june-wst03-01/#q-5) | **Q5** Central Limit Theorem and Binomial Distribution - Edexcel IAL Statistics S3 June 2019 Q5 | FRQ | 1 part | 8 | Hard | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7627ec36-90f7-46d3-9d56-99726b95349e&question_id=c91b9b48-a02e-4852-8e96-4e28966ce7bd&source_detail=WST03%2F01+June+2019) | | [**WST03/01** June 2018 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2018-june-wst03-01/#q-3) | **Q3** Estimation and Hypothesis Testing for Mean - Edexcel IAL S3 June 2018 Q3 | FRQ | 1 of 3 parts ((b)) | 5 of 13 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0d954107-c51f-4452-94e2-f72761ecfcd5&question_id=d2858f0c-da7c-49d6-934b-05be09952648&source_detail=WST03%2F01+June+2018) | | [**WST03/01** June 2018 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2018-june-wst03-01/#q-6) | **Q6** Central Limit Theorem and Uniform Distribution - Edexcel IAL S3 June 2018 Q6 | FRQ | 1 of 2 parts ((a)) | 3 of 7 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=0d954107-c51f-4452-94e2-f72761ecfcd5&question_id=36bad504-b08c-4328-a1df-539fc19bf8b6&source_detail=WST03%2F01+June+2018) | | [**WST03/01** June 2016 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2016-june-wst03-01/#q-8) | **Q8** Central Limit Theorem and Critical Regions - Edexcel IAL S3 June 2016 Q8 | FRQ | 1 of 2 parts ((a)) | 3 of 7 on the paper | Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=f6e82544-ef7e-4409-95e9-0f59d3bf62e3&question_id=318edf82-b05b-4916-8380-21f4fb2f862b&source_detail=WST03%2F01+June+2016) | | [**WST03/01** June 2015 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2015-june-wst03-01/#q-7) | **Q7** Mean and Variance of Die Rolls - Edexcel IAL S3 2015 Jun Q7 | FRQ | 1 of 2 parts ((a)) | 2 of 5 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=696adb49-011e-4547-9482-ae0661c007cc&question_id=b4c8a78a-0f54-4f86-ac6d-662bdc5751e0&source_detail=WST03%2F01+June+2015) | | [**WST03/01** June 2014 · Edexcel IAL](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-3-wst03/2014-june-wst03-01/#q-2) | **Q2** Properties of Estimators - Edexcel IAL S3 June 2014 Q2 | FRQ | 1 of 3 parts ((a)) | 3 of 7 on the paper | Easy | [Go to Practice Hub](https://www.examsci.com/practice?set_id=7e843c99-7424-4422-8a78-6b7e84959866&question_id=a633628b-7759-4230-8ef7-0ac6b4e33659&source_detail=WST03%2F01+June+2014) | ## Related topic questions in Estimation, confidence intervals and tests - [3.1 Concepts of standard error, estimator, bias.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-1-concepts-of-standard-error-estimator-bias/) — 58 question items · 19 papers — 149 marks · 2014–2026 - [3.3 Concept of a confidence interval and its interpretation.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-3-concept-of-a-confidence-interval-and-its-interpretation/) — 23 question items · 16 papers — 75 marks · 2015–2026 - [3.4 Confidence limits for a Normal mean, with variance known.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-4-confidence-limits-for-a-normal-mean-with-variance-known/) — 30 question items · 18 papers — 123 marks · 2015–2026 - [3.5 Hypothesis tests for the mean of a Normal distribution with variance known.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-5-hypothesis-tests-for-the-mean-of-a-normal-distribution-with-variance-known/) — 7 question items · 7 papers — 27 marks · 2016–2024 - [3.6 Use of Central Limit theorem to extend hypothesis tests and confidence intervals to samples from non-Normal distributions. Use of large sample results to extend to the case in which the variance is unknown.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-6-use-of-central-limit-theorem-to-extend-hypothesis-tests-and-confidence-intervals/) — 38 question items · 19 papers — 96 marks · 2015–2026 - [3.7 Hypothesis test for the difference between the means of two Normal distributions with variances known.](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-7-hypothesis-test-for-the-difference-between-the-means-of-two-normal-distributions/) — 18 question items · 14 papers — 103 marks · 2016–2026 ## Topic question rules and edge cases **How many topic questions cover this syllabus point?** 18 question stems cover this subtopic across 14 papers, but only 24 tagged parts and 88 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 2014–2026. 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. --- Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-3-wst03/estimation-confidence-intervals-and-tests/3-2-the-distribution-of-the-sample-mean-overline-x/