---
title: "Use STANDARD_NORMAL_DISTRIBUTION to Model Normal Distribution Data"
slug: "standard-normal-distribution-function"
description: "Learn to use STANDARD_NORMAL_DISTRIBUTION to calculate Z-scores with a mean of zero and standard deviation of one in Pigment models."
updated: 2025-05-28T10:35:57Z
published: 2025-08-22T12:00:18Z
---

> ## Documentation Index
> Fetch the complete documentation index at: https://kb.pigment.com/llms.txt
> Use this file to discover all available pages before exploring further.

# STANDARD_NORMAL_DISTRIBUTION function

## Description

Returns the standard normal distribution, which has a mean of zero and a standard deviation of one.

## Syntax

`STANDARD_NORMAL_DISTRIBUTION(Value)`

- `Value` This is the value for which you want the distribution. This can be an Integer or a Number.

The equation for standard normal distribution is provided below.

![](https://cdn.document360.io/e47cfe35-dc28-40c7-a083-6cf003073d8e/Images/Documentation/6c3ead1d-4047-45aa-ba9c-3c956cc9dd40.png)

> If you need more information on standard normal distribution, click [here](https://en.wikipedia.org/wiki/Normal_distribution#Standard_normal_distribution) to read about it on Wikipedia.

## Returns

| Type | Dimensions |
| --- | --- |
| Number | Dimensions of argument *Number* |

## Examples

| **Case** | **Results** | **Return Type** |
| --- | --- | --- |
| `STANDARD_NORMAL_DISTRIBUTION(0)` | `0.39894228040143` Standard Normal probability distribution function at 0 | `Number` |
| `STANDARD_NORMAL_DISTRIBUTION(Blank)` | `blank` | `Number` |

**Excel equivalent**: [NORM.S.DIST](https://support.microsoft.com/en-us/office/norm-s-dist-function-1e787282-3832-4520-a9ae-bd2a8d99ba88)

**See also**: [STANDARD_NORMAL_DISTRIBUTION_CUMULATIVE](/v1/docs/standard-normal-distribution-cumulative-function)

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