Die frequencies and additional throws

Die frequencies and additional throws

Secondary 2
4 marks
TGM Original Questions

Core stretch

After 25 throws of a die, scores 1–6 have frequencies 6, 4, 6, 4, 3, 2.

  1. State the mode(s).[1]
  2. Find the lowest possible 26th score that leaves the median equal to 3.[1]
  3. Suppose that lowest score occurs, then the die is thrown twice more. If the mean after 28 throws is 3, list the possible unordered pairs of final two scores.[2]

Solution:

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Answer:(a) \(1\) and \(3\) (b) \(1\) (c) \((2,6),(3,5),(4,4)\).

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