# Google Sheets NORM.INV Function: Syntax, Examples & Tips - URL: https://betteranalyst.com/google-sheets/norm.inv-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.INV function returns the inverse of the normal distribution for a specified mean and standard deviation, useful for statistical analysis. ``` NORM.INV(x, mean, standard_deviation) ``` Generate FormulaExplain Formula One free generation or explanation per browser, shared across Excel and Google Sheets. Account usage limits apply afterward. Describe the NORM.INV you need in plain EnglishGenerate Formula ## Parameters **`x`**: The value for which you want to find the corresponding z-score in the normal distribution. **`mean`**: The arithmetic mean of the distribution, which is the average value around which the data is centered. **`standard_deviation`**: The standard deviation of the distribution, which measures the dispersion or spread of the data points around the mean. ## What is the NORM.INV Function? The *NORM.INV* function in Google Sheets is a statistical function used to calculate the inverse of the normal cumulative distribution for a specified mean and standard deviation. This function is particularly useful in scenarios involving probability and statistics, where you need to determine the value corresponding to a given probability in a normal distribution. In simpler terms, NORM.INV allows you to find the value of a variable that corresponds to a specific percentile in a normal distribution, which can be helpful in various fields such as finance, quality control, and social sciences. ## A Practical Example Imagine you are analyzing the test scores of a group of students, and you want to determine the score that corresponds to the top 10% of the distribution. ### Test Scores Data: | StudentID | Score | | - | - | | 1 | 85 | | 2 | 90 | | 3 | 78 | | 4 | 92 | | 5 | 88 | You know that the average score (mean) is 86.6 and the standard deviation is 5.5. You want to find the score that separates the top 10% of students from the rest. ## NORM.INV Formula To achieve this, you would use the NORM.INV function as follows: ``` =NORM.INV(0.9, 86.6, 5.5) ``` In this formula: - `0.9` is the probability (90th percentile) you are interested in. - `86.6` is the mean score of the distribution. - `5.5` is the standard deviation of the scores. ## Result of the Formula When you apply the NORM.INV formula, it will return a score value. For instance, if the output is 91.2, this means that students who scored above 91.2 are in the top 10% of the distribution. ### Interpretation of the Result: - If a student scores 91 or higher, they are in the top 10% of the class. - This can help educators identify high achievers and provide them with appropriate recognition or resources. ## Why Use NORM.INV? NORM.INV is beneficial because it simplifies the process of determining thresholds in normally distributed data. It allows for quick assessments of performance, risk analysis, and decision-making based on statistical data. By using this function, you can make informed decisions based on the distribution of data. ## Key Takeaways: - **NORM.INV**: A statistical function that calculates the inverse of the normal cumulative distribution. - **Application**: Useful for determining thresholds in various fields such as education, finance, and quality control. - **Data Analysis**: Helps in making informed decisions based on statistical distributions. - **Common Use Cases**: Ideal for identifying performance benchmarks, risk assessment, and analyzing data distributions. NORM.INV is an essential function for anyone working with statistical data in Google Sheets, providing a powerful way to enhance data analysis and reporting capabilities. Happy analyzing! ## Example use case You have a dataset of test scores in Column A and want to determine the score threshold for the top 10% of students. Use NORM.INV to calculate the cutoff score based on the mean and standard deviation, helping identify high achievers efficiently. ## Need more help with Google Sheets formulas? Sign up for Better Analyst and get unlimited AI-powered formula generation, explanations, and advanced data analysis. [Create Free Account](https://betteranalyst.com/signup)[Try Formula Generator](https://betteranalyst.com/excel-ai) ## Google Sheets how-to guides - [How To Make A Table In Google Sheets](https://betteranalyst.com/google-sheets/how-to-make-a-table-in-google-sheets) - [How To Merge Cells In Google Sheets](https://betteranalyst.com/google-sheets/how-to-merge-cells-in-google-sheets) - [How To Multiply In Google Sheets](https://betteranalyst.com/google-sheets/how-to-multiply-in-google-sheets) - [How To Password Protect An Google Sheets File](https://betteranalyst.com/google-sheets/how-to-password-protect-an-google-sheets-file) - [How To Remove Blank Rows In Google Sheets](https://betteranalyst.com/google-sheets/how-to-remove-blank-rows-in-google-sheets) - [How To Remove Duplicates In Google Sheets](https://betteranalyst.com/google-sheets/how-to-remove-duplicates-in-google-sheets) - [How To Separate Names In Google Sheets](https://betteranalyst.com/google-sheets/how-to-separate-names-in-google-sheets) - [How To Sort In Google Sheets](https://betteranalyst.com/google-sheets/how-to-sort-in-google-sheets) ## Explore all Google Sheets formulas Browse our complete library of Google Sheets formula guides Compare your options ## Decide with evidence, not a sales pitch. 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