Topic explanation
Averages & Spread is part of the Statistics strand in GCSE Maths. GCSE Maths revision for Averages & Spread (Statistics): exam-style practice and key ideas for AQA, Edexcel and OCR.
Exam papers from AQA, Edexcel, OCR assess fluency (short questions) and reasoning (multi-mark). Practise reading command words (“show that”, “hence”, “give your answer in the form…”) before you rearrange algebra or interpret a result.
Key formulas & rules
- Mean = total ÷ n; median position; mode as most frequent
- Range = max − min; interquartile range from quartiles
- Histograms: frequency density = frequency ÷ class width
Common mistakes
- Arithmetic and sign errors when simplifying expressions involving averages & spread.
- Not answering in the required form (fraction vs decimal, surd vs rounded).
- Missing a final sentence that interprets the result in context when the question is applied.
Exam tips
- Underline key words in the question: “exact”, “integer”, “give reasons”.
- Estimate or use inverse operations to sanity-check answers when a calculator is allowed.
- Use StudyVector practice filtered to “Averages & Spread” to drill exam-style questions on this skill.
Practice questions
Exam-style questions aligned to your board. Open full practice for worked feedback and your next best question.
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