Complete 4-page Year 10 Foundation lesson on calculating the mean from a discrete frequency table — building the fx column and dividing by total frequency, not row count.

Inside the pack

• Retrieval Do Now with separate Retrieval section — arithmetic warm-up then four targeted items including the conceptual seed of fx (5 pupils × 3 marks = 15, not 5 + 3)
• Rule box: ∑fx ÷ ∑f explained step by step, with the key insight that one row stands for f copies of x
• I Do → We Do examples (test scores; goals per match)
• Spot the Mistake — three distinct errors: ignoring frequency entirely, dividing by row count, taking the mean of the frequency column
• Independent Practice — two tables (pets per pupil; social media accounts), contrasting data shapes
• Going Deeper Q1: compare two groups using the mean as a tool (Form 9U vs whole of Year 9 for lateness) — includes a conclusion sentence in context
• Going Deeper Q2: explain in your own words why the fx column is needed
• Exit Ticket + metacognitive reflection

Curriculum: OCR GCSE Maths J560 Foundation — Unit 7 Averages, Lesson 6. Also suitable for AQA and Edexcel Foundation statistics.

Format: Two PDFs — student worksheet (4 pages) and teacher answer key (6 pages, with worked solutions, diagnostic guidance per misconception, and marking summary table).

Year 10 Foundation · OCR GCSE J560 · Unit 7

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