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Excel - NORM.S.INV Function
NORM.S.INV Function
The Excel NORM.S.INV function is essentially the inverse of the NORM.S.DIST function. It computes the inverse of the standard normal cumulative distribution for a given z score when the "Mean" is zero and the "Standard Deviation" is one. An iterative search technique is employed by the NORM.S.INV function.
To find the z value for the given probability, the NORM.S.INV function searches for -
NORM.S.DIST (z, TRUE) = probability
Therefore, the precision of NORM.S.INV relies on the precision of NORM.S.DIST.
Compatibility
This advanced Excel function is compatible with the following versions of MS Excel
- Excel for Microsoft 365
- Excel for Microsoft 365 for Mac
- Excel for the web
- Excel 2024
- Excel 2024 for Mac
- Excel 2021
- Excel 2021 for Mac
- Excel 2019
- Excel 2016
- Excel 2013
- Excel 2010
Syntax
The syntax of the NORM.S.INV function is as follows −
=NORM.S.INV(probability)
Arguments
You can use the following arguments with the NORM.S.INVfunction −
| Argument | Description | Required/ Optional |
|---|---|---|
| Probability | A numeric value, which represents a probability corresponding to the normal distribution. | Required |
Points to Remember
- If the non-numeric value is defined in the Probability, then the NORM.S.INV function returns the #VALUE! error.
- Ensure that the probability falls between 0 and 1. Otherwise, the NORM.S.INV function retrieves the #NUM! error.
Examples of NORM.S.INV Function
Practice the following examples to learn the use of the NORM.S.INV function in Excel.
Example 1: Calculating the inverse of Cumulative Normal Distribution
In this example, we will explore the NORM.S.INV function to compute the inverse of the standard cumulative normal distribution with the given probability.
Solution
Step 1 − First, assume the sample dataset where the probability of the standard normal distribution is 0.93. You may write the formula =NORM.S.INV(C2) in the C3 cell and hit the "Enter" key.
Hence, the NORM.S.INV function returns the 1.475791028.
Example 2
If the non-numeric value is defined in the Probability, then the NORMS.INV function returns the #VALUE! error.
Solution
You may write the formula =NORM.S.INV("IPL") in the C5 cell. In this expression, the text value "IPL" is supplied to the probability.
Hence, the resulting value is #VALUE! error.
Example 3
Ensure that the probability falls between 0 and 1. Otherwise, the NORM.S.INV function retrieves the #NUM! error.
Solution
You may write the formula =NORM.S.INV(4) in the C6 cell. Here, the probability is greater than one which is invalid.
Hence, the result is #NUM! error.
Download Practice Sheet
You can download and use the sample data sheet to practice the NORM.S.INV function.
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