# Excel NORM.INV Function: Syntax, Examples & Tips - URL: https://betteranalyst.com/excel/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 calculates the inverse of the normal distribution for a given probability, mean, and standard deviation in Excel. ```excel =NORM.INV(probability, mean, standard_dev) ``` 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 Need more than a single NORM.INV 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 **`probability`**:\ A value between 0 and 1 that represents the probability for which you want to find the corresponding value in the normal distribution. **`mean`**:\ The arithmetic mean of the distribution, which is the average value around which the data is centered. **`standard_dev`**:\ The standard deviation of the distribution, which measures the dispersion or spread of the data points around the mean. ## What is a NORM.INV Formula in Excel? The *NORM.INV* function in Excel is a statistical tool that allows you to find the inverse of the normal cumulative distribution for a specified mean and standard deviation. In simpler terms, it helps you determine the value of a variable for a given probability in a normal distribution, making it useful for various statistical analyses. ## A Practical Example Imagine you are analyzing the test scores of students in a class, and you have the following data in an Excel spreadsheet: ### Test Scores Data Table: | Student | Test Score | | - | - | | Alice | 85 | | Bob | 90 | | Charlie | 78 | | David | 92 | | Eve | 88 | You want to find the test score that corresponds to the 90th percentile of the distribution of test scores. ## NORM.INV Formula To calculate the test score at the 90th percentile, you would use the NORM.INV formula as follows: ```excel =NORM.INV(0.9, AVERAGE(B2:B6), STDEV.P(B2:B6)) ``` ### Breakdown of the Formula: - **0.9**: This is the probability for which you want to find the corresponding test score (90th percentile). - **AVERAGE(B2:B6)**: This calculates the mean of the test scores. - **STDEV.P(B2:B6)**: This calculates the standard deviation of the test scores. ## Result of the Formula When you apply the formula, it calculates the test score that corresponds to the 90th percentile based on the average and standard deviation of the test scores. The output would be: | Test Score at 90th Percentile | | - | | 90.4 | Here, the calculated score indicates that a student would need to score approximately 90.4 to be in the top 10% of the class. ## Why Use NORM.INV? The NORM.INV function is particularly useful when you need to perform statistical analyses that involve normal distributions. It allows you to understand thresholds and cutoffs in your data, which can be essential for decision-making in fields such as education, finance, and quality control. ## Key Takeaways: - **NORM.INV**: Finds the value of a variable for a given probability in a normal distribution. - **Statistical Analysis**: Helps you determine thresholds and percentiles in your data. - **Common Use Cases**: Ideal for educational assessments, financial modeling, and any scenario where understanding normal distributions is crucial. Understanding how to use the NORM.INV function can significantly enhance your statistical analysis capabilities in Excel, enabling you to extract meaningful insights from your datasets. Happy analyzing! ## Example use case You have a dataset where Column A contains the test scores of students in a standardized exam, and you want to determine the score that corresponds to the 90th percentile of the distribution. You can use the NORM.INV function to calculate this score based on the mean and standard deviation of the test scores. This allows educators to understand the performance threshold for top-performing students and helps in setting benchmarks for future assessments without needing to manually analyze the entire dataset. **Beyond the NORM.INV 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 Make A Copy Of An Excel Sheet](https://betteranalyst.com/excel/how-to-make-a-copy-of-an-excel-sheet) - [How To Make A Graph In Excel](https://betteranalyst.com/excel/how-to-make-a-graph-in-excel) - [How To Make A Histogram In Excel](https://betteranalyst.com/excel/how-to-make-a-histogram-in-excel) - [How To Make A Line Graph In Excel](https://betteranalyst.com/excel/how-to-make-a-line-graph-in-excel) - [How To Make A Pie Chart In Excel](https://betteranalyst.com/excel/how-to-make-a-pie-chart-in-excel) - [How To Make A Table In Excel](https://betteranalyst.com/excel/how-to-make-a-table-in-excel) - [How To Merge Cells In Excel](https://betteranalyst.com/excel/how-to-merge-cells-in-excel) - [How To Multiply In Excel](https://betteranalyst.com/excel/how-to-multiply-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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