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CAPE Applied Mathematics Unit 1 · 2008 · Paper 2 · Question 2(a)(i)

A car dealer plans to select a sample of 15 cars from a total stock of 240 cars of four colours (white, blue, red, grey).

Name each of the sampling methods A, B, C, and D described in the question.

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Other parts of this question

  1. 2(a)(ii)Given that 112 of the 240 cars are white, calculate how many white cars are in the sample selected according to method A.[3 marks]
  2. 2(a)(iii)State two different variables, other than colour, by which the cars could be grouped in sampling method A.[2 marks]
  3. 2(a)(iv)Calculate the value of k in sampling method B.[2 marks]
  4. 2(a)(v)Explain one disadvantage of sampling method C.[2 marks]
  5. 2(b)(i)Distinguish between a population and a sample.[2 marks]
  6. 2(b)(ii)Distinguish between a census and a sample survey.[2 marks]
  7. 2(b)(iii)Distinguish between a parameter and a statistic.[3 marks]
  8. 2(c)Justifying the use of the sample survey in the given example, briefly describe one example where a sample survey is carried out, as opposed to a census.[3 marks]
  9. 2(d)(i)State the value of a parameter from the data given.[1 mark]
  10. 2(d)(ii)State the value of a statistic from the data given.[1 mark]

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