NORM.S.INV Function in Excel: Z-Score for a Probability

NORM.S.INV Function in Excel: Z-Score for a Probability featured illustration

πŸ“Ž This article includes 1 downloadable practice file ↓

⏱ 2 min readUpdated 12 October 2026

StatisticsLevel: ExpertAvailable in: Excel 2010+

In this article
  1. Syntax
  2. Examples
  3. Example 1
  4. Example 2
  5. NORM.S.INV in practice
  6. Where you will use it
  7. Worked example
  8. Mistakes people make
  9. Related functions
  10. Continue learning

NORM.S.INV returns the z-score for a cumulative probability β€” where the famous 1.96 comes from.

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Syntax

=NORM.S.INV(probability)
Argument What it means
probability Between 0 and 1.

Examples

Example 1

=NORM.S.INV(0.975)

About 1.96.

Example 2

=NORM.S.INV(0.95)

About 1.645, the z for 95% service level in safety-stock formulas.

NORM.S.INV in practice

Where you will use it

  • z for a confidence level
  • Critical values
  • Sample size calculations

Worked example

ProbabilityFormulaResult
0.975=ROUND(NORM.S.INV(A2),4)1.96
0.95=ROUND(NORM.S.INV(A3),4)1.6449
0.5=ROUND(NORM.S.INV(A4),4)0

Results calculated in Excel.

Mistakes people make

MistakeWhat to do instead
Two-tailed 95%Use 0.975, not 0.95
RangeOnly between 0 and 1

NORM.S.DIST Β· NORM.INV

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πŸ“Ž Practice files for this article

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    Practice workbook: Statistics advanced33 tasks on realistic sales data β€” type your formula, the Check column turns green when it is right. Answers sheet included.
    ⬇ XLSX Β· 36 KB

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