Paper 2 · Statistics ⏱ Tested in 3 exam questions since 2016 Lesson 12 of 21

Statistics 12 z-scores 4

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You’ll learn

  • Find 'between' probabilities with P(a ≤ z ≤ b) = P(z ≤ b) − P(z ≤ a)
  • Combine the complement and negative-z tricks inside one two-sided calculation
  • Memorise the anchor P(−1.96 ≤ z ≤ 1.96) = 0.95 for all later inferential work
  • Default to z-tables at HL — the empirical rule only when the question says so

Most recent exam questions

  • 2021 Paper 2 Q8(a)(i) — inverse normal — find the z-score with P(Z ≤ z) = 0.90, then convert back to a raw score
  • 2017 Paper 2 Q8(a)(ii) — inverse normal — given a tail probability, find the corresponding z-value, then de-stand…
  • 2016 Paper 2 Q9(a)(ii) — inverse standardisation — given a cumulative probability, find the data value

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