# WST01/01 June 2016

> WST01/01 June 2016: 7 questions, 75 marks. Difficulty 0.41, deviation 0.18, algebraic 0.26, text density 0.37. Edexcel IAL Mathematics S1.

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Edexcel IAL · Mathematics · 2016 June

This Statistics 1 (WST01) paper contains 7 questions worth 75 marks. The profile below reports five mark-weighted difficulty and complexity measures, and every question row repeats them. Full question text and mark scheme open in the Interactive Practice Hub.

- Edexcel IAL
- S1
- 7 questions
- 75 marks
- Free paper
- [Practise this paper](https://www.examsci.com/practice?set_id=b4b356b9-e8c0-47d1-ad81-a1cb08b96a9f)
- [All S1 papers](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-1-wst01/)

Core finding

**WST01/01 June 2016 is a past paper for Edexcel IAL Statistics 1 (WST01), with 7 questions worth 75 marks.** Its mark-weighted Difficulty Measure is 0.41 on a 0.20–0.75 scale, with a Difficulty Deviation of 0.18 and a mark split of 30.7% Easy, 49.3% Medium and 20.0% Hard. Algebraic complexity averages 0.26; text density and modelling average 0.37. All five measures use 31 part-level tags, not candidate results. Every question row below repeats them and opens the Interactive Practice Hub for that question.

## Difficulty & complexity profile

All five measures are mark-weighted and calculated from 31 parts carrying 75 part marks. Difficulty tags cover 31 parts, algebraic tags 31 and text-density tags 31. Tags are internal metadata, not official exam-board ratings.

- **Difficulty Measure**: 0.41 — 0.20–0.75 · nearer Medium
- **Difficulty Deviation**: 0.18 — 0 = uniform; higher = more mixed
- **Difficulty Ratio**: 30.7 / 49.3 / 20.0 — % Easy / Medium / Hard
- **Algebraic Complexity Measure**: 0.26 — 0.20–0.75 · nearer Low
- **Text Density and Modelling Measure**: 0.37 — 0.20–0.75 · nearer Medium

Scale: Easy 0.20 · Medium 0.45 · Hard 0.75, and Low 0.20 · Medium 0.45 · High 0.75 for the two complexity measures. [How each band is defined and how the values are calculated →](https://www.examsci.com/guides/difficulty-and-complexity-measures/)

### Definitions and calculation

| Measure | Paper value | Formula |
| --- | --- | --- |
| **Difficulty Measure** | 0.41 | Σ(d_i × w_i) / Σw_i, with d = 0.20 / 0.45 / 0.75 |
| **Difficulty Deviation** | 0.18 | √(Σw_i(d_i − μ)^2 / Σw_i) |
| **Difficulty Ratio** | 30.7% Easy / 49.3% Medium / 20.0% Hard | marks in band / all tagged marks |
| **Algebraic Complexity Measure** | 0.26 | Σ(c_i × marks_i) / Σmarks_i, with c = 0.20 / 0.45 / 0.75 |
| **Text Density and Modelling Measure** | 0.37 | Σ(t_i × marks_i) / Σmarks_i, with t = 0.20 / 0.45 / 0.75 |

w_i equals the part marks, except for a Hard part worth 4 or more marks, where w_i = marks^0.75 to offset the accessible starter steps inside long structured questions.

## Question list

Each measure is recalculated from the parts of that question and uses the same weights as the paper profile.

| Question | Topic | Marks | Difficulty Measure | Algebraic Complexity Measure | Text Density and Modelling Measure | Practice |
| --- | --- | --- | --- | --- | --- | --- |
| **Q1** FRQ | [4. Correlation and regression](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/correlation-and-regression/) | 12 | 0.28 Easy | 0.20 Low | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b4b356b9-e8c0-47d1-ad81-a1cb08b96a9f&question_id=2bfcb4fc-49e2-49f3-912b-a451e378ab90&source_detail=WST01%2F01+June+2016) |
| **Q2** FRQ | [2. Representation and summary of data](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/representation-and-summary-of-data/) | 3 | 0.45 Medium | 0.20 Low | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b4b356b9-e8c0-47d1-ad81-a1cb08b96a9f&question_id=63084a40-302e-44e3-b9fc-b1f54a3e14ee&source_detail=WST01%2F01+June+2016) |
| **Q3** FRQ | [5. Discrete random variables](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/discrete-random-variables/) | 14 | 0.31 Easy | 0.20 Low | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b4b356b9-e8c0-47d1-ad81-a1cb08b96a9f&question_id=616bdd1e-09de-47ab-ac08-bd0437433774&source_detail=WST01%2F01+June+2016) |
| **Q4** FRQ | [2. Representation and summary of data](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/representation-and-summary-of-data/) | 12 | 0.41 Medium | 0.20 Low | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b4b356b9-e8c0-47d1-ad81-a1cb08b96a9f&question_id=4930603d-c85e-4aae-8d76-42be26245960&source_detail=WST01%2F01+June+2016) |
| **Q5** FRQ | [3. Probability](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/probability/) | 8 | 0.56 Medium | 0.20 Low | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b4b356b9-e8c0-47d1-ad81-a1cb08b96a9f&question_id=150d62dc-5ecd-497d-8a04-82da18d355b7&source_detail=WST01%2F01+June+2016) |
| **Q6** FRQ | [3. Probability](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/probability/) | 11 | 0.50 Medium | 0.40 Medium | 0.20 Low | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b4b356b9-e8c0-47d1-ad81-a1cb08b96a9f&question_id=feaa7584-2f84-4e26-9d10-0b08ecaf92dc&source_detail=WST01%2F01+June+2016) |
| **Q7** FRQ | [6. The Normal distribution](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/the-normal-distribution/) | 15 | 0.49 Medium | 0.37 Medium | 0.45 Medium | [Go to Practice Hub](https://www.examsci.com/practice?set_id=b4b356b9-e8c0-47d1-ad81-a1cb08b96a9f&question_id=e0f507b5-1443-46f3-bda2-9ff41f0a2811&source_detail=WST01%2F01+June+2016) |

## Topics in this paper

- [4. Correlation and regression](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/correlation-and-regression/)
- [2. Representation and summary of data](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/representation-and-summary-of-data/)
- [5. Discrete random variables](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/discrete-random-variables/)
- [3. Probability](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/probability/)
- [6. The Normal distribution](https://www.examsci.com/topics/edexcel-ial/mathematics/statistics-1-wst01/the-normal-distribution/)

## Related papers

- [WST01/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-1-wst01/2016-october-wst01-01/) — October 2016 — 6 questions · 75 marks — Free
- [WST01/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-1-wst01/2016-january-wst01-01/) — January 2016 — 6 questions · 75 marks — Free
- [WST01/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-1-wst01/2017-october-wst01-01/) — October 2017 — 6 questions · 75 marks — Free
- [WST01/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-1-wst01/2017-june-wst01-01/) — June 2017 — 6 questions · 75 marks — Free
- [WST01/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-1-wst01/2017-january-wst01-01/) — January 2017 — 7 questions · 75 marks — Free
- [WST01/01](https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-1-wst01/2015-june-wst01-01/) — June 2015 — 8 questions · 75 marks — Free

## Paper FAQ

**How are the difficulty and complexity measures calculated?**

Each part is weighted by its official marks. Difficulty uses Easy 0.20, Medium 0.45 and Hard 0.75; algebraic complexity and text density and modelling use Low 0.20, Medium 0.45 and High 0.75. A Hard part worth 4 or more marks is down-weighted to marks^0.75, so the accessible starter steps inside a long structured question do not inflate the difficulty result. This paper's Difficulty Measure is 0.41 from 31 parts.

**What does the Difficulty Deviation show?**

It is the mark-weighted standard deviation of the part difficulty values around the paper mean. A value of 0 would mean every tagged part has the same difficulty; this paper's deviation is 0.18, so its parts are more mixed than a single-level paper.

**Is the Difficulty Ratio based on question counts or marks?**

It is based on official marks, not question counts. This paper's shares are 30.7% Easy, 49.3% Medium and 20.0% Hard; the three shares sum to 100% before rounding.

**Are these official difficulty ratings?**

No. They are derived from the platform's part-level difficulty and static-question-profile tags. They are not exam-board grade boundaries and are not calculated from candidate outcomes. Use them to compare the demand profile of papers, not to predict a grade.

**Why does each question row show its own measures?**

Each row recalculates the same mark-weighted formula from that question's parts. A single-part MCQ therefore shows the tag value directly, while a multi-part structured question blends the tags of its parts using the same Hard-part decay as the paper profile.

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Full page with native tables, bar charts and Practice Hub links: https://www.examsci.com/past-papers/edexcel-ial/mathematics/statistics-1-wst01/2016-june-wst01-01/