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2 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2011 · Paper 2 · Question 2(b)(i)f)

A dataset containing 25 observations is given: 4, 4, 7, 8, 8, 9, 9, 10, 10, 10, 11, 12, 12, 13, 13, 13, 14, 14, 16, 16, 17, 18, 20, 25, 30.

State the shape of the distribution.

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Other parts of this question

  1. 2(a)(i)Determine the median waiting time for the distribution.[2 marks]
  2. 2(a)(ii)Calculate the interquartile range for the distribution.[3 marks]
  3. 2(a)(iii)Determine the number of persons who waited 20 minutes or more at the clinic.[3 marks]
  4. 2(b)(i)a)Using groups such as 0 – 4, 5 – 9, ..., 25 – 29 and 30 – 34, draw a stem and leaf diagram.[3 marks]
  5. 2(b)(i)b)State the mode(s).[2 marks]
  6. 2(b)(i)c)Calculate the median.[2 marks]
  7. 2(b)(i)d)Determine the interquartile range.[3 marks]
  8. 2(b)(i)e)Find the 8% trimmed mean.[3 marks]
  9. 2(b)(ii)Which of the following measures of a distribution are affected by outliers: a) Mode, b) Mean, c) Median, d) Range?[2 marks]

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