🔔 Z-Score Calculator

z-score of 85

z = 1.5

1.5 standard deviations above the mean · 93.32nd percentile

Percentile
93.32
P(Z < z) left tail
0.933193
P(Z > z) right tail
0.066807
Two-tailed P(|Z| > |z|)0.133614
P(−1.5 < Z < 1.5)0.866386
P(0 < Z < |z|)0.433193
Share below / above93.32% / 6.68%
−3−2−10123
Shaded: the 93.32% of the distribution below z = 1.5

Step by step

  1. z = (x − μ) ÷ σ = (85 − 70) ÷ 10 = 15 ÷ 10 = 1.5
  2. Left tail: P(Z < 1.5) = Φ(1.5) = 0.933193 → 93.32nd percentile
  3. Right tail: P(Z > 1.5) = 1 − 0.933193 = 0.066807
  4. Two-tailed: 2 × P(Z > 1.5) = 0.133614

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