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CAPE Applied Mathematics Unit 1 · 2017 · Paper 2 · Question 1(f)

State the sampling method to be used in EACH of the approaches to select a sample of 50 students from a school with a roll of 420 students distributed over 14 classes: • Select a sample of 10 classes out of the 14 classes in the school, and then take a sample of 5 students from each class. • Take a random sample of students from each class proportionate to the number of students in the class. • Choose every 25th name on the school roll. • Stand at the school gate and choose the first 50 students coming into the school. • Put the names of all the students in a box and then randomly select 50 names from the box.

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Other parts of this question

  1. 1(a)Match the phrases or statements in Column A to the phrases in Column B by writing the number from Column A in Column C.[5 marks]
  2. 1(b)State THREE reasons why it may be necessary to take a sample when carrying out research.[3 marks]
  3. 1(c)Determine whether EACH of the following refers to a sample or to a population: • A group of 25 persons selected to test a new drug • The total number of books…[2 marks]
  4. 1(d)State which of the following represents discrete data and which represents continuous data: • Number of persons in a household • Speed of a car in kilometres…[3 marks]
  5. 1(e)(i)Using a stratified random sample, calculate the number of workers from EACH group that will be in the sample.[5 marks]
  6. 1(e)(ii)What is the advantage of using stratified random sampling to select persons rather than simple random sampling?[2 marks]

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