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3 marksSources of Data

CAPE Applied Mathematics Unit 1 · 2015 · Paper 2 · Question 1(d)(i)

A construction company employs 5 engineers, 10 electricians, 45 masons, 30 carpenters, 10 plumbers, and 25 labourers.

Using the stratified random sampling method, calculate the number of masons in a sample of 25 employees.

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Other parts of this question

  1. 1(a)(i)State whether the types of pastry sold at a restaurant is quantitative or qualitative.[1 mark]
  2. 1(a)(ii)State whether the weight of a red snapper sold at a fish market is quantitative or qualitative.[1 mark]
  3. 1(a)(iii)State whether the number of seats available at a concert hall is discrete or continuous.[1 mark]
  4. 1(a)(iv)State whether the height of pea trees at six weeks old is discrete or continuous.[1 mark]
  5. 1(a)(v)State whether the number of kilowatt-hours of electricity used by a household in the last month is discrete or continuous.[1 mark]
  6. 1(b)(i)Distinguish between a 'census' and a 'sample survey'.[2 marks]
  7. 1(b)(ii)State TWO reasons why taking a sample may be necessary.[2 marks]
  8. 1(b)(iii)a)State, with a reason, whether the following situation is a sample survey or a census: Every week a store calls 15 of the 40 persons who made purchases at the…[2 marks]
  9. 1(b)(iii)b)State, with a reason, whether the following situation is a sample survey or a census: The management of High Street Appliance Store called all of the 5 persons…[2 marks]
  10. 1(c)(i)The types of cars entering a particular car park between 9:00 a.m. and 11:00 a.m.[1 mark]
  11. 1(c)(ii)The types of cellphones owned by persons.[1 mark]
  12. 1(c)(iii)The types of radio programmes that persons listen to.[1 mark]
  13. 1(d)(ii)State ONE advantage of using the stratified random method for collecting this sample.[1 mark]
  14. 1(d)(iii)a)State ONE reason why this is not a suitable question.[1 mark]
  15. 1(d)(iii)b)Rewrite the question in a more suitable manner.[4 marks]

More practice: the rest of this paper · more Sources of Data questions · all CAPE Applied Mathematics Unit 1 past papers