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Inverse Normal Distribution Calculator

Statistics
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Finds the Z-score corresponding to a given cumulative probability (percentile) on a normal distribution.

More tools:Math & Statistics Calculators
How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Cumulative Probability (Percentile), Mean (Average), and Standard Deviation in the units shown.

Step 2

Read Z-score and Value in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

50th Percentile (Standard Normal)

Cumulative Probability (Percentile): 50 %; Mean (Average): 0; Standard Deviation: 1

Z-score: 0.7567751865; Value: 0.7567751865

97.72nd Percentile (Standard Normal)

Cumulative Probability (Percentile): 97.72 %; Mean (Average): 0; Standard Deviation: 1

Z-score: 1.538617395; Value: 1.538617395

2.28th Percentile (Standard Normal)

Cumulative Probability (Percentile): 2.28 %; Mean (Average): 0; Standard Deviation: 1

Z-score: 1.538617395; Value: 1.538617395

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