Library visits and median constraints

Library visits and median constraints

Secondary 2
7 marks
TGM Original Questions

Core stretch

Visits 0, 1, 2, 3, 4, 5 have frequencies 8, 6,\(x\), 9, 5, 2. Conditions are independent. Find

  1. the greatest \(x\) for which the unique mode is 3,[2]
  2. the range of integer \(x\) for which the median is 3,[3]
  3. the mean when \(x=1\).[2]

Solution:

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Answer:(a) \(8\) (b) \(0\le x\le1\) (c) \(\frac{65}{31}\approx2.10\).

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