# Google Sheets NORM.S.INV Function: Syntax, Examples & Tips - URL: https://betteranalyst.com/google-sheets/norm.s.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.S.INV function returns the z-score for a given probability in a standard normal distribution, useful for statistical analysis. ``` NORM.S.INV(x) ``` 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.INV you need in plain EnglishGenerate Formula ## Parameters **`x`**:\ The probability for which you want to find the corresponding z-score in the standard normal distribution. This value must be between 0 and 1 (exclusive). ## What is NORM.S.INV? The *NORM.S.INV* function in Google Sheets is a statistical function that returns the inverse of the standard normal cumulative distribution for a specified probability. This function is particularly useful in statistics for determining z-scores, which are essential in hypothesis testing and confidence interval calculations. The standard normal distribution has a mean of 0 and a standard deviation of 1. In simpler terms, NORM.S.INV allows you to find the z-score that corresponds to a given probability in a standard normal distribution. ## A Practical Example Imagine you are conducting a survey and want to determine the z-score for a specific confidence level in your results. ### Probability Table: | Confidence Level | Probability | | - | - | | 90% | 0.90 | | 95% | 0.95 | | 99% | 0.99 | You want to find the z-scores corresponding to these confidence levels. ## NORM.S.INV Formula To achieve this, you would use the NORM.S.INV function as follows: ``` =NORM.S.INV(B2) ``` In this formula: - `B2` is the cell containing the probability value from the Probability Table. ## Result of the Formula When you apply the NORM.S.INV formula to the Probability Table, the output would look like this: | Confidence Level | Probability | Z-Score | | - | - | - | | 90% | 0.90 | 1.2816 | | 95% | 0.95 | 1.6449 | | 99% | 0.99 | 2.3263 | The z-scores indicate how many standard deviations away from the mean a certain probability lies. ## Why Use NORM.S.INV? NORM.S.INV is beneficial because it simplifies the process of finding z-scores for statistical analysis. It allows researchers and analysts to quickly determine the critical values needed for hypothesis testing and confidence intervals. This function is essential for anyone working with statistical data and looking to make informed decisions based on probability. ## Key Takeaways: - **NORM.S.INV**: A statistical function that returns the z-score for a given probability in a standard normal distribution. - **Useful for Statistics**: Essential for hypothesis testing and confidence interval calculations. - **Quick Calculations**: Simplifies the process of finding critical values for statistical analysis. - **Common Use Cases**: Ideal for researchers, analysts, and anyone working with statistical data. NORM.S.INV is an essential function for anyone involved in statistical analysis, providing a powerful way to enhance data interpretation and decision-making. Happy analyzing! ## Example use case You have a dataset of test scores in Column A and want to determine the z-score cutoff for the top 5% of scores. Use NORM.S.INV(0.95) to find the score threshold, enabling quick identification of high-performing students for recognition. ## Need more help with Google Sheets formulas? Sign up for Better Analyst and get unlimited AI-powered formula generation, explanations, and advanced data analysis. 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