CAIE A-Level Mathematics A2 6.4.1 Samples and Populations Questions

Practise explaining sampling choices and judging the reliability of estimates from sample data.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

Exam points

  • explain why samples are used instead of whole populations
  • identify conditions needed for reliable sample estimates
  • interpret sample statistics as estimates of population parameters

CAIE A-Level Mathematics A2 6.4.1 Samples and Populations Questions question 1

[Maximum number: 1]

The lengths, X cmX \mathrm{~cm}, of a sample of 100 insects of a certain type were summarised as follows.

n=100∑x=36.8∑x2=17.34n=100 \quad \sum x=36.8 \quad \sum x^{2}=17.34

State a necessary condition for the estimates found in part (a) to be reliable.

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