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A-LevelMathematicsProbability and statisticsMay/June 2022Paper 5 Q37 Marks

The back-to-back stem-and-leaf diagram shows the diameters, in cm, of 19 cylindrical pipes produced by each of two companies, A and B. Company A | Company B ----------|----------- 4 | 33 | 1 2 8 9 8 3 2 0 | 34 | 1 6 8 9 9 8 7 5 4 1 1 | 35 | 1 2 2 3 9 6 5 2 | 36 | 5 6 4 3 1 | 37 | 0 3 4 | 38 | 2 8 Key: 1|35|3 means the pipe diameter from company A is 0.351 cm and from company B is 0.353 cm.

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

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About This A-Level Mathematics Question

Topic

This structured question tests Probability and statistics in A-Level Mathematics (syllabus code 9709). It is worth 7 marks.

Source

This question appeared in the Cambridge A-Level Mathematics May/June 2022 examination, Paper 5 Variant 2.

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