Edexcel AS Paper 2 2022 June — Question 3

Exam BoardEdexcel
ModuleAS Paper 2 (AS Paper 2)
Year2022
SessionJune
TopicData representation
TypeUse linear interpolation for median or quartiles

  1. The histogram summarises the heights of 256 seedlings two weeks after they were planted.
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    1. Use linear interpolation to estimate the median height of the seedlings.
      (4)
    Chris decides to model the frequency density for these 256 seedlings by a curve with equation $$y = k x ( 8 - x ) \quad 0 \leqslant x \leqslant 8$$ where \(k\) is a constant.
  2. Find the value of \(k\) Using this model,
  3. write down the median height of the seedlings.