Z-Table & Normal Distribution Calculator
Standard normal distribution (mean=0, σ=1). Enter Z to get probabilities, or enter a probability to get Z.
Z → Probability
Probability → Z (Inverse)
Approximation method: Abramowitz & Stegun 26.2.17 for Φ (maximum absolute error ≤ 7.5×10⁻⁸); Beasley-Springer-Moro rational approximation for Φ⁻¹ (accurate to better than 10⁻⁶ in z for 0.0001 ≤ p ≤ 0.9999).
Full Z-Table (Z = 0.00 to 3.49)
Values show Φ(z) = P(X ≤ z) for z ≥ 0. For negative z use Φ(−z) = 1 − Φ(z).
Learn more
Normal distribution and Z-table guide →
Type I vs Type II error →
Confidence intervals →
Which hypothesis test to use →
Type I vs Type II error →
Confidence intervals →
Which hypothesis test to use →
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