# Excel NORM.S.DIST Function: Syntax, Examples & Tips - URL: https://betteranalyst.com/excel/norm-s-dist-function - Author: Better Analyst Formula Bot is now Better Analyst—same account, more powerful analysis.Formula Bot is now Better Analyst—same account and workflows, with more powerful analysis, dashboards, and automation. [Learn what changed](https://betteranalyst.com/formula-bot-is-now-better-analyst) The NORM.S.DIST function calculates the standard normal distribution for a given z-score, useful for statistical analysis and probability assessments. ```excel =NORM.S.DIST(z, cumulative) ``` Generate FormulaExplain Formula One free generation or explanation per browser, shared across Excel and Google Sheets. Account usage limits apply afterward. Describe the NORM.S.DIST you need in plain EnglishGenerate Formula Need more than a single NORM.S.DIST formula? Try our free [AI for Excel](https://betteranalyst.com/excel-ai) — it reads your entire spreadsheet, answers questions in plain English, and builds charts and analysis in the same chat. ## Parameters **`z`**:\ The z-score for which you want to calculate the standard normal distribution. **`cumulative`**:\ A logical value that determines the form of the function. If TRUE, NORM.S.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function. ## What is a NORM.S.DIST Formula in Excel? The *NORM.S.DIST* function in Excel is a statistical tool that allows you to calculate the standard normal distribution, which is a special case of the normal distribution with a mean of 0 and a standard deviation of 1. This function can be used to determine the probability that a standard normal random variable is less than or equal to a specified value. In simpler terms, the NORM.S.DIST function helps you understand how a particular value compares to a standard normal distribution, making it easier to analyze probabilities in statistics. ## A Practical Example Imagine you are conducting a study on test scores for a standardized exam, and you want to find out the probability of a student scoring less than a specific score. ### Test Scores Data Table: | Score | | - | | -1.5 | | -0.5 | | 0 | | 0.5 | | 1.5 | You want to find the probability that a student scores less than 0. ## NORM.S.DIST Formula To calculate the probability of a student scoring less than 0, you would use the NORM.S.DIST formula as follows: ```excel =NORM.S.DIST(0, TRUE) ``` ### Breakdown of the Formula: - **0**: This is the z-score for which you want to find the cumulative probability. - **TRUE**: This argument specifies that you want the cumulative distribution function (CDF), which gives the probability that a standard normal random variable is less than or equal to the specified z-score. ## Result of the Formula When you apply the formula, it calculates the cumulative probability for a z-score of 0. The output would be: | Probability of Scoring Less Than 0 | | - | | 0.5000 | Here, the probability that a student scores less than 0 is 0.5000, indicating that there is a 50% chance of scoring below this value in a standard normal distribution. ## Why Use NORM.S.DIST? The NORM.S.DIST function is particularly useful in statistics when you need to analyze probabilities related to normally distributed data. It allows you to quickly assess how likely a particular outcome is within the context of a standard normal distribution. ## Key Takeaways: - **NORM.S.DIST**: Calculates the cumulative probability for a standard normal distribution. - **Statistical Analysis**: Helps you understand probabilities related to normally distributed data. - **Common Use Cases**: Ideal for hypothesis testing, quality control, and any scenario where you need to analyze outcomes based on standard normal distribution. Understanding how to use the NORM.S.DIST function can significantly enhance your statistical analysis capabilities in Excel, enabling you to derive meaningful insights from your data. Happy analyzing! ## Example use case You have a dataset where Column A contains test scores of students and Column B contains the corresponding number of students who achieved those scores. You can use the NORM.S.DIST function to determine the probability that a randomly selected student scored below a certain value, which helps in understanding the distribution of student performance and identifying areas where additional support may be needed. This allows educators to make data-driven decisions regarding curriculum adjustments and targeted interventions without requiring extensive statistical analysis. **Beyond the NORM.S.DIST function:** Better Analyst is a full [Excel AI](https://betteranalyst.com/excel-ai) that goes well past individual formulas. 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[Create Free Account](https://betteranalyst.com/signup)[Try Formula Generator](https://betteranalyst.com/excel-ai) ## Excel how-to guides - [How To Unprotect Excel](https://betteranalyst.com/excel/how-to-unprotect-excel) - [How To Wrap Text In Excel](https://betteranalyst.com/excel/how-to-wrap-text-in-excel) - [Excel Conditional Formatting](https://betteranalyst.com/excel/excel-conditional-formatting) - [How To Add A Column In Excel](https://betteranalyst.com/excel/how-to-add-a-column-in-excel) - [How To Alphabetize In Excel](https://betteranalyst.com/excel/how-to-alphabetize-in-excel) - [How To Autofit In Excel](https://betteranalyst.com/excel/how-to-autofit-in-excel) - [How To Calculate Percentage In Excel](https://betteranalyst.com/excel/how-to-calculate-percentage-in-excel) - [How To Combine Two Columns In Excel](https://betteranalyst.com/excel/how-to-combine-two-columns-in-excel) ## Explore all Excel formulas Browse our complete library of Excel formula guides Compare your options ## Decide with evidence, not a sales pitch. 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