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How to Calculate Z Score

Convert data values to z-scores and find probabilities.

The Formula

z = (x - μ) / σ

The z score formula uses the mathematical relationship: z = (x - μ) / σ. Each variable in the formula represents a measurable quantity that affects the final result.

Step-by-Step Method

  1. 1Identify all input values needed for the z score calculation.
  2. 2Substitute your known values into the formula: z = (x - μ) / σ.
  3. 3Perform the arithmetic operations in the correct order (PEMDAS/BODMAS).
  4. 4Check that your result has the correct units and is within a reasonable range.
  5. 5Verify using the interactive Z Score Calculator to confirm your answer.

Related Topics

z scorenormal distributionstatistics

Use the Interactive Calculator

Skip the manual math — get instant results with our free Z Score calculator.

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