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How to Calculate Normal Distribution

Find probabilities and values using the normal distribution.

The Formula

z = (x-μ)/σ, look up Φ(z)

The normal distribution formula uses the mathematical relationship: z = (x-μ)/σ, look up Φ(z). 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 normal distribution calculation.
  2. 2Substitute your known values into the formula: z = (x-μ)/σ, look up Φ(z).
  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 Normal Distribution Calculator to confirm your answer.

Related Topics

normal distributionbell curve

Use the Interactive Calculator

Skip the manual math — get instant results with our free Normal Distribution calculator.

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