InvNorm Calculator
Find the x-value associated with a cumulative probability in any normal distribution using the inverse normal function.
Distribution details
Your result
InvNorm formulas
z = Φ⁻¹(p)
x = μ + zσ
Use p = 1 − area
Frequently asked questions
What does InvNorm calculate?
It finds the value in a normal distribution associated with a specified cumulative probability.
What is the standard normal distribution?
It is a normal distribution with mean 0 and standard deviation 1.
What is the difference between left and right tail?
Left tail uses the area below the cutoff. Right tail uses the area above it, so the calculator converts it to 1 minus the entered probability.
Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.
