Grouped pupil heights

Grouped pupil heights

Secondary 2
5 marks
TGM Original Questions

One hundred heights (cm) are grouped as \(130\le h<140\):28, \(140\le h<150\):32, \(150\le h<160\):30, \(160\le h<170\):10. Let h be a height in centimetres. One of the 100 people is selected at random for each probability calculation. Find

  1. the modal class,[1]
  2. the estimated mean,[2]
  3. \(P(130\le h<150)\),[1]
  4. \(P(h\ge150)\).[1]

Solution:

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Answer:(a) \(140\le h<150\) cm (b) \(147.2\) cm (c) \(\frac{3}{5}\) (d) \(\frac{2}{5}\).

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