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3 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2012 · Paper 2 · Question 1(c)(iii)b)

A sample of 25 students obtained the following marks in a class test: 61, 59, 58, 47, 57, 40, 74, 66, 69, 71, 60, 63, 58, 56, 42, 67, 82, 62, 53, 64, 59, 81, 75, 82, 74.

From your diagram, state the inter-quartile range of the marks obtained.

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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)(i)CIdentify the sampling technique where one person is selected alphabetically from payroll and then every 6th person after that until 60 are chosen, and state…[2 marks]
  4. 1(a)(ii)State ONE disadvantage of using Method A.[1 mark]
  5. 1(a)(iii)State ONE disadvantage of using Method C.[1 mark]
  6. 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]
  7. 1(b)(i)Define the term 'sampling frame'.[2 marks]
  8. 1(b)(ii)Explain why the telephone directory may not be a representative sampling frame for a survey about household detergent usage.[1 mark]
  9. 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]
  10. 1(c)(i)Using groups of 10, starting at 40, construct a stem and leaf diagram to display these data.[5 marks]
  11. 1(c)(ii)State ONE advantage of using a stem and leaf diagram to display data.[1 mark]
  12. 1(c)(iii)a)From your diagram, state the median mark obtained in the test.[1 mark]

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