CAIE A-Level Mathematics A2 6.4.2 Sampling Methods Questions

Practise selecting random samples and evaluating sampling methods for bias and suitability.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

Exam points

  • use random numbers to select a simple random sample
  • identify unsuitable or biased sampling methods
  • explain why a sample is representative and appropriate

CAIE A-Level Mathematics A2 6.4.2 Sampling Methods Questions question 1

[Maximum number: 2]

Henri wants to choose a random sample from the 804 students at his college. He numbers the students from 1 to 804 and then uses random numbers generated by his calculator. The first 20 random digits produced by his calculator are as follows.

56710984310966502176\begin{array}{llllllllllllllllllll} 5 & 6 & 7 & 1 & 0 & 9 & 8 & 4 & 3 & 1 & 0 & 9 & 6 & 6 & 5 & 0 & 2 & 1 & 7 & 6 \end{array}

Henri's first two student numbers are 567 and 109.

Use Henri's digits to find the numbers of the next two students in the sample.

There were 30 students in Henri's sample. He asked each of them how much time, X hours, they spent on social media each week, on average. He summarised the results as follows.

n=30Σx=610Σx2=12405n=30 \quad \Sigma x=610 \quad \Sigma x^{2}=12405
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