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CAPE Applied Mathematics Unit 1 · 2010 · Paper 2 · Question 1(d)(v)

A sample of 50 students is to be collected from a school with 420 students distributed over 14 classes. State the sampling technique used in each scenario.

Put the names of all students in a box and randomly select 50 names from the box.

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Other parts of this question

  1. 1(a)(i)State the letters of TWO variables which are qualitative.[2 marks]
  2. 1(a)(ii)State the letters of TWO variables which are quantitative.[2 marks]
  3. 1(a)(iii)State the letter of ONE discrete variable.[1 mark]
  4. 1(a)(iv)State the letter of ONE continuous variable.[1 mark]
  5. 1(b)(i)State the value of a parameter.[1 mark]
  6. 1(b)(ii)State the value of a statistic.[1 mark]
  7. 1(c)(i)Indicate whether a group of 50 persons selected to test a new milk drink refers to a population or a sample.[1 mark]
  8. 1(c)(ii)Indicate whether the total number of cars sold by a car dealership in the last year refers to a population or a sample.[1 mark]
  9. 1(d)(i)Select a sample of 10 classes out of 14, and then take a sample of 5 students from each class.[1 mark]
  10. 1(d)(ii)Take a random sample of students from each class proportionate to the number of students in the school.[1 mark]
  11. 1(d)(iii)Use the school roll and choose every 25th name on the school roll.[1 mark]
  12. 1(d)(iv)Stand at the school gate and choose the first 50 students that come into the school.[1 mark]
  13. 1(e)(i)State the boundaries of the third class.[2 marks]
  14. 1(e)(ii)Calculate the width of the fifth class.[2 marks]
  15. 1(e)(iii)Calculate the frequency density of the second class.[2 marks]
  16. 1(e)(iv)Estimate the number of children who took more than 60 minutes to complete the assignment.[3 marks]
  17. 1(e)(v)State a disadvantage of presenting data in this grouped frequency table format.[1 mark]

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