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CAIE A-Level Further Math A2 4.2.2 A Pooled Estimate of a Population Questions

Practise converting raw or summarised samples into sums of squared deviations and combining their degrees-of-freedom contributions into a pooled estimate.

Syllabus
2028–2030
Course
Further Mathematics 9231
Level
A2

Exam points

  • Convert an estimated sample standard deviation into squared deviations using (n − 1)s²
  • Obtain squared deviations from raw observations using Σx² − (Σx)²/n
  • Pool both squared-deviation sums over n₁ + n₂ − 2, then take a square root if σ is requested

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