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3 marksSources of Data

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

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).

Given that 112 of the 240 cars are white, calculate how many white cars are in the sample selected according to method A.

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Other parts of this question

  1. 2(a)(i)Name each of the sampling methods A, B, C, and D described in the question.[4 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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