Two unknown measurement frequencies

Two unknown measurement frequencies

Secondary 2
6 marks
TGM Original Questions

Core stretch

Masses 2.5, 2.6, 2.7, 2.8, 2.9 kg have frequencies \(4,p,6,q,2\). There are 20 masses and their mean is 2.7 kg.

  1. Form two equations and solve for \(p,q\).[4]
  2. State the mode(s) and median.[2]

Solution:

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Answer:(a) \(p+q=8,\ 26p+28q=220\), so \(p=2,q=6\). (b) Modes 2.7 kg and 2.8 kg; median 2.7 kg.

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