Normal Quantile
Find a value from its normal-distribution percentile.
Your numbers
Quantile value
Use consistent units. The result follows the assumptions you enter.
Scenario comparison
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Formula
x=μ+σΦ⁻¹(p)
Find a value from its normal-distribution percentile.
Worked example
- Mean μ
- 0
- Standard deviation σ
- 1
- Cumulative percentile (%)
- 97.5
- Quantile value
- 1.95996398454
- Standard score
- 1.95996398454
Scope and limitations
Use consistent units. The result follows the assumptions you enter.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 1b760e35ca70 · Example checked: