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H2 Maths Normal Distribution | Free Notes & Key Formulas

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H2 Maths normal distribution notes: key formulas, worked examples, and exam techniques for standardisation, inverse normal, and linear combinations.

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  1. Quick normal map
  2. Core Concepts
  3. Standardisation Workflow
  4. Inverse Normal Problems
Q: What does H2 Maths Notes (JC 1-2): 6.3) Normal Distribution cover?
A: Standardisation, symmetry, inverse normal, and linear transformations for normal models in the 2026 H2 Maths syllabus.
Before you revise
Bookmark the GC normal menu (normalcdf, invNorm) and keep a sketch pad handy-exam scripts still expect hand-drawn bell curves with shaded regions. The 2026 syllabus excludes normal approximation to binomial distribution, so treat binomial and normal questions as separate models.

Quick normal map

If you have...Walk away with thisFirst action
1 secondA normal question is a bell-curve area question.Sketch and shade the region.
10 secondsStandardisation turns the original variable into a z-score.Subtract the mean, then divide by the standard deviation.
100 secondsInverse normal works backwards from an area to a value.Decide whether the given percentage is a left-tail or right-tail area.

Concrete example: If the top 5 percent is needed, use the 95th percentile from the left, then convert it back to the original score scale.

Status: SEAB's current H2 Mathematics (9758) syllabus PDF is labelled for 2026. Topic 6.3 is assessed in Paper 2 Section B (Probability and Statistics, 60 marks); normal approximation to binomial distribution is excluded.

Core Concepts

  • A normal model is written X∼N(μ,σ2) X \sim \mathcal{N}(\mu, \sigma^2)