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5 marksCumulative Frequency Curve (Ogive)

CSEC Mathematics · May/June 2005 · Paper 2 · Question 7(a)

A table shows the distribution of heights of 400 female applicants for the Police Service, including height ranges, number of applicants, and cumulative frequency.

Using a horizontal scale of 2 cm to represent a height of 5 cm and a vertical scale of 2 cm to represent 50 applicants, draw a cumulative frequency curve of the heights. Start your horizontal scale at 150 cm.

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Other parts of this question

  1. 7(b)(i)Use your graph to estimate the number of applicants whose heights are less than 170 cm.[1 mark]
  2. 7(b)(ii)Use your graph to estimate the median height of applicants.[2 marks]
  3. 7(b)(iii)Use your graph to estimate the height that 25% of the applicants are less than.[2 marks]
  4. 7(b)(iv)Use your graph to estimate the probability that an applicant selected at random has a height that is no more than 162 cm.[2 marks]

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