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Excel - NORM.S.DIST Function
NORM.S.DIST Function
The NORM.S.DIST function is listed under the Excel Statistical function and is based on the normal distribution. It returns the standard normal distribution only when the standard deviation is 1 and the mean is 0. This function is generally used in Finance modeling, stock markets, statistical analysis, hypothesis testing, and evaluating probabilities in risk and incident management. For example, predicting the probabilities of a variable that falls between the z values.
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.DIST function is as follows:
=NORM.S.DIST(z,cumulative)
Arguments
You can use the following arguments with the NORM.S.DIST function −
| Argument | Description | Required/ Optional |
|---|---|---|
| Z | A numeric value to retrieve the distribution. | Required |
| Cumulative |
A Boolean value that tells the function's form. If cumulative is TRUE, then the function returns the cumulative distribution function. If cumulative is FALSE, then the function receives the probability mass function. |
Required |
Points to Remember
- The mathematical equation for the standard normal density function is −
f(z)=12x−−√e−z22f(z)=12xe−z22
- If the z argument contains a non-numeric value, then the NORM.S.DIST function returns the #VALUE! error.
Examples of NORM.S.DIST Function
Practice the following examples to learn the use of the NORM.S.DIST function in Excel.
Example 1: How to Calculate the Standard Normal Distribution using the NORM.S.DIST Function
In this example, we will compute the NORM.S.DIST function by providing the z value and cumulative argument as inputs.
Solution
Step 1 − First, assume the sample dataset where the z is 1.5 and cumulative is True. Select the C4 cell, write the formula =NORM.S.DIST(C2,C3) and press the Enter tab.
Therefore, the NORM.S.DIST function returns 0.933192799 representing the cumulative distribution.
Step 2 − Furthermore, to calculate the probability density function, you can alter the Cumulative value and set it to False. Double-click on the C5 cell, write the formula =NORM.S.DIST(C2,FALSE), and hit the "Enter" key.
Therefore, the NORM.S.DIST function retrieves the 0.129517596 representing the height of the standard normal distribution at z equals 1.5.
Example 2
If the z argument contains a non-numeric value, then the NORM.S.DIST function returns the #VALUE! error.
Solution
First, switch to the Sheet2 and write the formula =NORM.S.DIST("ID",TRUE) in the B3 cell. In this expression, z contains a text value "ID" is invalid.
After pressing the "Enter" key, the NORM.S.DIST function yields an #VALUE! error.
Note − You may edit the z value and set the numeric value to get the correct result.
Download Practice Sheet
You can download and use the sample data sheet to practice the NORM.S.DIST function.
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