Two unknown frequencies from total and median

Two unknown frequencies from total and median

Secondary 2
6 marks
TGM Original Questions

Core stretch

For 20 students, the numbers of mistakes 0, 2, 3, 4, 5 have frequencies \(6,x,y,4,2\). The median is 2.5.

  1. Form two equations and find \(x,y\).[3]
  2. Hence find the mode and mean number of mistakes.[3]

Solution:

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Answer:(a) \(x+y=8,6+x=10\), so \(x=y=4\) (b) mode \(0\), mean \(2.3\).

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