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A-LevelMathematicsProbability and statisticsFeb/Mar 2018Paper 6 Q14 Marks

There are 900 students in a certain year-group. An identical puzzle is given to each student and the time taken, t minutes, to complete the puzzle is recorded. These times are summarised in the following frequency table. Time taken, t minutes t≤3 3<t≤4 4<t≤5 5<t≤6 6<t≤8 8 <t≤ 10 10 < t < 14 Frequency 120 180 200 160 110 80 50 On the grid, draw a cumulative frequency graph to represent the data. Use your graph to estimate the median time taken by these students to complete the puzzle. [Figure 1.1]

📋 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 4 marks.

Source

This question appeared in the Cambridge A-Level Mathematics Feb/Mar 2018 examination, Paper 6 Variant 2.

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