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2 marksSources of Data

CAPE Applied Mathematics Unit 1 · 2012 · Paper 2 · Question 1(a)(i)C

A supermarket chain has stores at 5 different locations. Management surveys a sample of 60 workers regarding changing opening/closing times.

Identify the sampling technique where one person is selected alphabetically from payroll and then every 6th person after that until 60 are chosen, and state whether it is random or non-random.

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Other parts of this question

  1. 1(a)(i)AIdentify the sampling technique used where 3 supermarkets are randomly selected and 20 workers sampled from each, and state whether it is random or non-random.[2 marks]
  2. 1(a)(i)BIdentify the sampling technique where workers are selected from each supermarket in proportion to the number employed there, and state whether it is random or…[2 marks]
  3. 1(a)(ii)State ONE disadvantage of using Method A.[1 mark]
  4. 1(a)(iii)State ONE disadvantage of using Method C.[1 mark]
  5. 1(a)(iv)Of the 350 workers, 90 are employed at a particular location. Calculate the number of these persons that will be in the sample if Method B is used.[3 marks]
  6. 1(b)(i)Define the term 'sampling frame'.[2 marks]
  7. 1(b)(ii)Explain why the telephone directory may not be a representative sampling frame for a survey about household detergent usage.[1 mark]
  8. 1(b)(iii)Explain why having radio listeners call in to state which station they were listening to produces a biased sample of a programme's popularity.[1 mark]
  9. 1(c)(i)Using groups of 10, starting at 40, construct a stem and leaf diagram to display these data.[5 marks]
  10. 1(c)(ii)State ONE advantage of using a stem and leaf diagram to display data.[1 mark]
  11. 1(c)(iii)a)From your diagram, state the median mark obtained in the test.[1 mark]
  12. 1(c)(iii)b)From your diagram, state the inter-quartile range of the marks obtained.[3 marks]

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