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statistical enquiry cycle in practice

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4 detailed 50-minute lessons with teaching scripts, worked examples, parent guides, and assessment criteria.

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Lesson Overview

Total Lessons: 4
Tier: Foundation and Higher
Duration: 50 minutes per lesson (200 minutes total)
Exam Boards: AQA, Edexcel, OCR, Eduqas, CCEA

Learning Objectives

Prerequisites

Materials & Equipment

Lesson 1: Introduction: statistical enquiry cycle in practice

Duration: 50 minutes

Starter Activity (5 minutes)

Quick Recall

Write down everything you already know about statistical enquiry cycle in practice. Then check against the key terms: key terms from statistical enquiry cycle in practice. Use a mini-whiteboard or paper.

Main Content (35 minutes)

Parent/Teacher Guide:
Before lesson: Read the script below. Pre-teach key vocab: key terms from statistical enquiry cycle in practice.
If stuck: Re-read the revision notes (link above), then break the content into smaller steps.
Extension: See the Stretch & Challenge ideas in Lesson 4.
Teaching Script (35 mins):
Mins 0-5 - Hook: "Today: statistical enquiry cycle in practice. By the end you will be able to answer exam questions on it unaided. It connects to the rest of Statistics because the ideas here recur across the spec."
Mins 5-20 - Direct Instruction: Work through the core ideas below one at a time; after each, ask your student to explain it back in their own words.
Mins 20-30 - Guided Practice: Model the worked example together, then let your student attempt the first practice question with guidance.
Mins 30-35 - Independent Practice: 2-3 practice questions from Lesson 3 below, with immediate feedback.
First Look

Start with the revision notes summary, then attempt: explain the key ideas of statistical enquiry cycle in practice

Plenary (5 minutes)

Check Out

Your student states one thing they learned and one question they still have about statistical enquiry cycle in practice.

Lesson 2: Core Concepts: statistical enquiry cycle in practice

Duration: 50 minutes

Starter Activity (5 minutes)

Review Previous Lesson

Quick recap: write 3 key points from Lesson 1 on statistical enquiry cycle in practice. Check them against the notes below.

Main Content (35 minutes)

Key Fact: The Statistical Enquiry Cycle has four stages: (1) Plan (hypothesis and strategy), (2) Collect (obtain data), (3) Process (calculate and represent), (4) Interpret (analyse and conclude)
Key Fact: Exam questions often ask you to identify which stage a given task belongs to or to describe what happens at each stage
Key Fact: Planning includes: writing a clear hypothesis, identifying the population, choosing a sampling method, deciding what data to collect and how to collect it
Key Fact: Data collection includes: designing data collection sheets, pilot studies, dealing with non-response, and ensuring data is reliable and unbiased
Key Fact: Processing includes: cleaning data, calculating summary statistics, and choosing appropriate diagrams or charts to display the data
Key Fact: Interpretation includes: describing patterns, comparing groups, linking findings to the hypothesis, and acknowledging limitations

Practice (10 minutes)

Q: explain the key ideas of statistical enquiry cycle in practice

Answer:

Plenary (5 minutes)

Explain Back

Your student teaches the key points back to you without looking. Fill any gaps immediately.

Lesson 3: Application: statistical enquiry cycle in practice

Duration: 50 minutes

Starter Activity (5 minutes)

Quick Recall

Recall the key terms: key terms from statistical enquiry cycle in practice. Define each in one sentence.

Main Content (35 minutes)

Parent/Teacher Guide: Let your student attempt each question alone first, then compare with the model answer. Award method marks for correct working even if the final answer is wrong.

Work through the practice questions on the revision notes page for this topic.

Plenary (5 minutes)

Error Review

Review any questions answered incorrectly. Identify whether the error was knowledge, method, or reading the question.

Lesson 4: Exam Practice: statistical enquiry cycle in practice

Duration: 50 minutes

Starter Activity (5 minutes)

Command Words

Review what these command words require: state (one point), describe (say what happens), explain (say why), compare (both sides), evaluate (judgement).

Main Content (35 minutes)

Extended Answer

Extended question: Full-Mark Response A researcher investigates the hypothesis: ‘People who walk to work have lower blood pressure than people who drive to work.’ They take a random sample of 50 walkers and 50 drivers from a city and measure their blood pressure. (a) Describe the data collection stage. (b) Write a conclusion if the median blood pressure for walkers is 120/78 and for drivers is 134/86. <div class="

(a) The data collection stage involves measuring the blood pressure of 100 participants (50 walkers, 50 drivers). The sampling method is random, which reduces selection bias. Data is primary (collected firsthand) and quantitative (numerical blood pressure readings). A pilot study could test the measurement protocol. (b) The data supports the hypothesis. Walkers have a lower median systolic blood pressure (120 vs 134, a difference of 14 mmHg) and a lower median diastolic blood pressure (78 vs 86, a difference of 8 mmHg). Both groups show a clear difference that suggests walking to work is associated with lower blood pressure. However, this is an observational study so causation cannot be established — people who walk may also have other healthy habits. A larger sample and controlling for confounding variables (e.g. age, diet) would strengthen the conclusion.

Exam Tips: When a question names a stage of the SEC, give specific detail about what happens — do not just repeat the stage name | Always link conclusions back to the original hypothesis using specific data values from the question | In evaluation questions, give at least two points: one strength and one weakness, each explained with reasoning | When asked to design an investigation, structure your answer using the four SEC stages to ensure completeness | Marks for SEC questions often come from ‘justification’ — always explain why a method is chosen, not just what it is
Common Errors: ✗ Writing vague conclusions without referencing data or statistics from the question ✓ Always quote specific values: ‘The median for Group A (34) was higher than Group B (27)’ ✗ Confusing reliability and validity ✓ Reliability = consistency on repetition; validity = measuring what you intend to measure ✗ Forgetting to evaluate limitations when writing conclusions ✓ A strong conclusion acknowledges what the data cannot tell us, e.g. small sample size or possible bias ✗ Describing only what was done without explaining why at each SEC stage ✓ Explain reasoning: ‘Stratified sampling was used because the year groups differ in size’
Stretch & Challenge (Grade 8-9):
  • Synoptic links: explain how statistical enquiry cycle in practice connects to another Statistics topic you have studied
  • Real-world: research one real-world use or example of statistical enquiry cycle in practice
  • Critical: "What are the limitations of the models used in statistical enquiry cycle in practice?"

Plenary (5 minutes)

Assessment Criteria
  • Got it: Confident explanation + correct worked examples
  • Getting there: Main points OK, needs support with detail
  • Not yet: Confused on key concepts - re-run Lesson 2

Homework & Consolidation

Recommended Resources

🎓 Smart Lesson (Guided)