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1 markSources of Data

CAPE Applied Mathematics Unit 1 · 2014 · Paper 2 · Question 1(b)(ii)

Management selects a random sample of 20 employees to suggest improvements.

State the sampling method used when names are listed alphabetically and, starting from the third name, every fifth name is drawn until 20 names are selected.

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Other parts of this question

  1. 1(a)(i)State what the value 15 in the 'number of employees' row represents.[1 mark]
  2. 1(a)(ii)State what the value 3 in the 'average weekly sales' row represents.[1 mark]
  3. 1(b)(i)State the sampling method used when all employee names are put into a box and 20 are selected.[1 mark]
  4. 1(b)(iii)State the sampling method used when a number of employees are randomly selected from each department proportional to its size to obtain 20 employees.[1 mark]
  5. 1(c)Identify which sampling method from 1(b)(i), (ii), and (iii) provides a sample that is most representative of the employees across all departments.[1 mark]
  6. 1(d)Using the proportional allocation method from 1(b)(iii), calculate the number of employees in the sample of 20 drawn from the Jewellery and Perfume department.[3 marks]
  7. 1(e)(i)Calculate the average weekly sales for the entire store.[3 marks]
  8. 1(e)(ii)Calculate the standard deviation of the sales for the entire store.[3 marks]
  9. 1(f)(i)Determine the number of shoppers who spent between 30 and 60 minutes in the Boutique.[3 marks]
  10. 1(f)(ii)60% of the shoppers spent t minutes or less in the Boutique. Find the value of t.[2 marks]
  11. 1(f)(iii)Estimate the median time spent in the Boutique.[2 marks]
  12. 1(f)(iv)Using the provided graph sheet insert, construct a box-and-whisker diagram representing the cumulative frequency distribution.[3 marks]

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