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Z-Score Calculator — Standardize or Reverse-Solve x, Mean & SD

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Calculated result

z-score = 1.4

Normal CDF below z=1.4: 91.9243%

Normal upper tail: 8.0757%

Normal two-tailed probability beyond |z|: 16.1513%

Show the working
  1. 1. Use z = (x − μ) ÷ σ and algebraically rearrange for the selected unknown.
  2. 2. z = (84 − 70) ÷ 10 = 1.4.
  3. 3. For percentile context only, evaluate the standard-normal CDF at z = 1.4.

The z-score standardization is algebraic. The displayed percentile and tail percentages additionally assume a normal distribution.

Shared links reopen these inputs; saved calculations stay in this browser unless you clear site data.