Books read, subgroup means and a new median

Books read, subgroup means and a new median

Secondary 2
9 marks
TGM Original Questions

Core stretch

Books read 0, 1, 2, 3, 4, 5 have frequencies 8, 6, 5, 10, 6, 5 for 40 pupils.

  1. Find the mode, mean and median.[4]
  2. Eighteen boys have mean 2 books. Find the girls’ mean.[2]
  3. Two more pupils each read \(x\) books, where \(0\le x\le5\). Find the greatest \(x\) for which the new median is 3.[3]

Solution:

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Answer:(a) mode \(3\), mean \(2.375\), median \(3\) (b) \(\frac{59}{22}\approx2.68\) (c) \(x=5\).

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