Inverse Normal Distribution

Find a z-score from a given area/probability using an inverse normal table or calculator function, for simple upper-tail and lower-tail cases.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • No direct alignment recorded
New NZC (2026)
  • NZC26-P4-PRO-ETP-K-Y9-08

Resources

Terminology

  • Normal distribution
  • z-score
  • Mean
  • Standard deviation
  • Probability
  • Inverse normal

Task goals

  • Foundation: Find a z-score from a given area/probability using an inverse normal table or calculator function, for simple upper-tail and lower-tail cases.
  • Proficient: Convert a given probability into a raw data value using the inverse normal function together with a known mean and standard deviation, including two-tailed and middle-region problems.
  • Excellence: Solve multi-step real-context problems requiring inverse normal reasoning to find unknown means, standard deviations, or cut-off values from combined probability statements.

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Inverse Normal Distribution

Inverse Normal Distribution

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