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1 markData Analysis

CAPE Applied Mathematics Unit 1 · 2014 · Paper 2 · Question 2(a)(iii)

Times rounded to the nearest minute spent in consultation with 50 prospective home owners are summarized in a grouped frequency table.

State one disadvantage of presenting data in a grouped frequency distribution.

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Other parts of this question

  1. 2(a)(i)State the class boundaries of the third class (30 – 39).[2 marks]
  2. 2(a)(ii)Calculate the class width (size) of the third class.[2 marks]
  3. 2(b)(i)Calculate the estimated mean consultation time.[6 marks]
  4. 2(b)(ii)Calculate the estimated variance of the consultation time.[4 marks]
  5. 2(b)(iii)Calculate the estimated standard deviation of the consultation time.[2 marks]
  6. 2(c)Draw a histogram representing the consultation times using the provided graph paper.[4 marks]
  7. 2(d)(i)From the histogram or otherwise, determine an estimate for the mode of the distribution.[2 marks]
  8. 2(d)(ii)Determine from the histogram or otherwise an estimate for the number of consultations that lasted 45 minutes or more.[2 marks]

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