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4 marksData and Sampling

CAPE Integrated Mathematics · 2017 · Paper 2 · Question 3(a)

A teacher collects information regarding the time, to the nearest minute, spent reading per day by 50 of the 100 Class 1 students at her school.

Identify TWO suitable sample methods and explain how ONE of the methods could have been used by the teacher to select the 50 students from the 100 Class 1 students.

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Other parts of this question

  1. 3(b)Complete the histogram to represent the data. The first two columns are already drawn.[4 marks]
  2. 3(c)A student is selected at random from the 50 students in the sample. Using the histogram or otherwise, determine the probability that the student spends 26…[5 marks]
  3. 3(d)(i)Determine the value of q in the probability distribution table.[2 marks]
  4. 3(d)(ii)Complete the probability distribution table.[5 marks]
  5. 3(d)(iii)Calculate the mean and variance of X.[5 marks]

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