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1.5 marksSources of Data

CAPE Applied Mathematics Unit 1 · 2013 · Paper 2 · Question 1(a)(i)

Classify variables as quantitative or qualitative, and if quantitative, specify whether discrete or continuous.

Indicate whether the brands of coffee served at a restaurant is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.

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  1. 1(a)(ii)Indicate whether the number of television sets owned by households in a district is quantitative or qualitative, and if quantitative, whether it is discrete or…[1.5 marks]
  2. 1(a)(iii)Indicate whether the volume of water used weekly by a laundry is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.[1.5 marks]
  3. 1(a)(iv)Indicate whether the types of fish sold in the market is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.[1.5 marks]
  4. 1(b)(i)State whether the 5 buses owned by "Village Tours" is a population or a sample.[1 mark]
  5. 1(b)(ii)State whether 5 of the buses that were sent on the island tour last week is a population or a sample.[1 mark]
  6. 1(c)(i)State whether asking the 500 persons who attended the jazz show on Thursday night to name their favourite performer is a census or a sample survey.[1 mark]
  7. 1(c)(ii)State whether asking 500 of the persons who attended the jazz concert last week to name their favourite performer is a census or a sample survey.[1 mark]
  8. 1(d)State TWO reasons why it may be necessary to conduct a sample survey rather than use a census.[2 marks]
  9. 1(e)(i)Explain why a stratified random sample will NOT be an appropriate method to use.[2 marks]
  10. 1(e)(ii)Explain how a random number table could be used to select the sample of 15 students from the programme.[6 marks]
  11. 1(e)(iii)Use Table 4 (Random Sampling Numbers) provided in the Statistical Tables to obtain a random sample of size 15, without replacement, from numbers 00 to 90…[5 marks]

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