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A-LevelMathematicsProbability and statisticsOct/Nov 2025Paper 5 Q38 Marks

The back-to-back stem-and-leaf diagram shows the annual salaries, in dollars, of 27 employees at each of two companies, Browns and Greens. Browns Greens (3) 9 8 4 30 6 8 (2) (7) 8 8 5 3 3 1 031 2 4 5 8 (4) (7) 9 7 6 4 2 2 032 3 6 6 7 9 (5) (6) 8 7 5 5 3 1 33 1 1 3 7 8 8 9 9 (8) (3) 4 2 234 0 2 3 5 6 9 (6) (1) 7 35 3 7 (2) Key: 6|32|7 means $32600 for Browns and $32700 for Greens. The annual salary of an employee at Browns is denoted by x thousand dollars and the annual salary of an employee at Greens is denoted by y thousand dollars. It is given that, for the 27 employees at each of the companies, Σx = 878.3, Σx² = 28616.09, Σy = 896.5, Σy² = 29815.63.

📋 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 8 marks.

Source

This question appeared in the Cambridge A-Level Mathematics Oct/Nov 2025 examination, Paper 5 Variant 1.

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