Math & Statistics
Inverse Normal Calculator
Find the value x for a given cumulative probability under a normal distribution.
Your inputs
Change any value to update the result instantly.
Value x
124.6728
Z-score
1.6449
Formula and working
x = μ + σ·Φ⁻¹(p)
- 1
Substitute your values
Cumulative probability p = 0.95; Mean μ = 100; Standard deviation σ = 15
- 2
Apply the formula
x = μ + σ·Φ⁻¹(p) = 124.67
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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