Mode, median and mean constraints

Mode, median and mean constraints

Secondary 2
7 marks
TGM Original Questions

Core stretch

Values 0, 1, 2, 3 have frequencies 8, 7, 10,\(x\). Conditions are independent.

  1. Find the range of integer \(x\) for which 2 is the unique mode.[2]
  2. Find the greatest integer \(x\) for which the median is 2.[3]
  3. Find \(x\) if the mean is 1.4.[2]

Solution:

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Answer:(a) \(0\le x\le9\) (b) \(24\) (c) \(5\).

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