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The Excel NORM.S.INV Function
Standard Normal Cumulative Distribution
The Standard Normal Distribution is a simplified version of the Normal Distribution Function which arises when the mean of the distribution is 0 and the standard deviation is 1. Therefore, the Excel Norm.S.Inv function is the same as the Norm.Inv function with the mean and standard_dev arguments set to 0 and 1 respectively. The Standard Normal Cumulative Distribution function and the Inverse of this function are shown in the graphs below: Standard normal cumulative distribution function  Inverse cumulative distribution function Basic DescriptionThe Excel NORM.S.INV function calculates the inverse of the Standard Normal Cumulative Distribution Function for a supplied probability value. The Norm.S.Inv function is new in Excel 2010 and so is not available in earlier versions of Excel. However, the function is simply a new version of the Normsinv function that is available in earlier versions of Excel. The format of the function is :
NORM.S.INV( probability )
Where the probability argument is the probability value (between 0 and 1), for which you want to calculate the inverse of the standard normal cumulative distribution function. Note that Excel uses an interative method to calculate the Norm.S.Inv function and seeks to find a result, z, such that:
NORM.S.DIST( z, TRUE ) = probability
Norm.S.Inv Function ExamplesThe spreadsheet below shows examples of the Excel Norm.S.Inv Function, used to calculate the inverse of the Standard Normal Cumulative Distribution Function for 3 different probability values. The formulas are shown in the spreadsheet on the left and the results are shown in the spreadsheet on the right.
Further information and examples of the Excel Norm.S.Inv function can be found on the Microsoft Office website. Trouble ShootingIf you get an error from your Excel Norm.S.Inv function this is likely to be one of the following: Common Errors
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