Exam-Style Problem

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June 2011 p63 q3
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The following cumulative frequency table shows the examination marks for 300 candidates in country A and 300 candidates in country B.

Mark \(< 10\) \(< 20\) \(< 35\) \(< 50\) \(< 70\) \(< 100\)
Cumulative frequency, A 2568159234260300
Cumulative frequency, B 104672144198300
  1. Without drawing a graph, show that the median for country B is higher than the median for country A.
  2. Find the number of candidates in country A who scored between 20 and 34 marks inclusive.
  3. Calculate an estimate of the mean mark for candidates in country A.
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