# Google Sheets NORM.DIST Function: Syntax, Examples & Tips - URL: https://betteranalyst.com/google-sheets/norm.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.DIST function calculates the probability of a value in a normal distribution, given the mean and standard deviation. ``` NORM.DIST(x, mean, standard_deviation, 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.DIST you need in plain EnglishGenerate Formula ## Parameters **`x`**: The value for which you want to calculate the distribution. **`mean`**: The arithmetic mean of the distribution. **`standard_deviation`**: The standard deviation of the distribution. **`cumulative`**: A logical value that determines the form of the function. If TRUE, NORM.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function. ## What is the NORM.DIST Function? The *NORM.DIST* function in Google Sheets is a statistical function used to calculate the normal distribution for a specified mean and standard deviation. This function is particularly useful in statistics and data analysis, as it helps to determine the probability of a value occurring within a normal distribution. In simpler terms, NORM.DIST allows you to find out how likely a particular value is, given a normal distribution defined by its mean and standard deviation. ## A Practical Example Imagine you are analyzing the test scores of a class of students, and you want to understand how likely it is for a student to score below a certain value. ### Test Scores Data: | StudentID | Score | | - | - | | 1 | 85 | | 2 | 90 | | 3 | 78 | | 4 | 92 | | 5 | 88 | Suppose the average score (mean) of the class is 85, and the standard deviation is 5. You want to find out the probability of a student scoring less than 90. ## NORM.DIST Formula To achieve this, you would use the NORM.DIST function as follows: ``` =NORM.DIST(90, 85, 5, TRUE) ``` In this formula: - `90` is the value for which you want to find the probability. - `85` is the mean of the distribution. - `5` is the standard deviation of the distribution. - `TRUE` indicates that you want the cumulative distribution function (CDF), which gives the probability that a random variable is less than or equal to the specified value. ## Result of the Formula When you apply the NORM.DIST formula, it will return a probability value. For example, if the result is `0.8413`, this means there is an 84.13% chance that a student will score less than 90. ### Interpretation of Results: - A result of `0.8413` indicates that approximately 84.13% of students are expected to score below 90. - This can help educators understand how students are performing relative to the average score. ## Why Use NORM.DIST? NORM.DIST is beneficial because it provides a straightforward way to analyze data that follows a normal distribution. It is widely used in fields such as finance, psychology, and quality control, where understanding probabilities and distributions is crucial. ## Key Takeaways: - **NORM.DIST**: A statistical function that calculates the normal distribution for a given mean and standard deviation. - **Cumulative Probability**: The function can return the probability of a value being less than or equal to a specified number. - **Useful in Analysis**: Ideal for scenarios involving test scores, measurements, and any data that can be modeled by a normal distribution. - **Versatile Applications**: Commonly used in various fields, including education, finance, and research. NORM.DIST is an essential function for anyone working with statistical data, providing valuable insights into probability and distribution analysis. Happy analyzing! ## Example use case You have a dataset of test scores in Column A and want to analyze their distribution. Use NORM.DIST to calculate the probability of a score falling within a certain range, helping you understand student performance and identify areas for improvement. ## 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 Wrap Text In Google Sheets](https://betteranalyst.com/google-sheets/how-to-wrap-text-in-google-sheets) - [Google Sheets Conditional Formatting](https://betteranalyst.com/google-sheets/google-sheets-conditional-formatting) - [How To Add A Column In Google Sheets](https://betteranalyst.com/google-sheets/how-to-add-a-column-in-google-sheets) - [How To Alphabetize In Google Sheets](https://betteranalyst.com/google-sheets/how-to-alphabetize-in-google-sheets) - [How To Autofit In Google Sheets](https://betteranalyst.com/google-sheets/how-to-autofit-in-google-sheets) - [How To Calculate Percentage In Google Sheets](https://betteranalyst.com/google-sheets/how-to-calculate-percentage-in-google-sheets) - [How To Combine Two Columns In Google Sheets](https://betteranalyst.com/google-sheets/how-to-combine-two-columns-in-google-sheets) - [How To Copy Formula In Google Sheets](https://betteranalyst.com/google-sheets/how-to-copy-formula-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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