# Google Sheets NORMINV Function: Syntax, Examples & Tips

- URL: https://betteranalyst.com/google-sheets/norminv-function
- Author: Better Analyst

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The NORMINV function returns the value of the inverse of the normal distribution for a specified probability, mean, and standard deviation.

```
NORMINV(x, mean, standard_deviation)
```

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## Parameters

**`x`**: The value for which you want to find the corresponding normal distribution quantile.

**`mean`**: The arithmetic mean of the distribution.

**`standard_deviation`**: The standard deviation of the distribution.

## What is the NORMINV Function?

The *NORMINV* 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 fields such as finance, statistics, and data analysis, where understanding the distribution of data is crucial.

In simpler terms, NORMINV allows you to find the value of a variable that corresponds to a given probability in a normal distribution.

## A Practical Example

Imagine you are analyzing the test scores of students in a class, and you want to determine the score that corresponds to the top 10% of students.

### 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 5.2. You want to find the score that separates the top 10% of students from the rest.

## NORMINV Formula

To achieve this, you would use the NORMINV function as follows:

```
=NORMINV(0.9, 86.6, 5.2)
```

In this formula:

- `0.9` is the probability corresponding to the top 10% (since we want the score above which 10% of the scores fall).
- `86.6` is the mean score of the class.
- `5.2` is the standard deviation of the scores.

## Result of the Formula

When you apply the NORMINV formula, the output would give you the score that corresponds to the top 10% of students. For example, if the result is 91.4, it means that students scoring above 91.4 are in the top 10%.

## Why Use NORMINV?

NORMINV is beneficial because it allows you to understand the distribution of your data better. It helps in identifying thresholds and cut-off points in various scenarios, such as grading, risk assessment, and quality control. This function simplifies the process of statistical analysis by providing a straightforward way to find critical values in a normal distribution.

## Key Takeaways:

- **NORMINV**: A statistical function that calculates the inverse of the normal cumulative distribution.
- **Useful for Analysis**: Helps in identifying thresholds and cut-off points in data analysis.
- **Common Use Cases**: Ideal for educational assessments, financial risk analysis, and any scenario involving normally distributed data.

NORMINV is an essential function for anyone working with statistical data in Google Sheets, providing a powerful way to enhance data analysis and decision-making capabilities.

Happy analyzing!

## Example use case

You have a dataset of exam scores in Column A and want to determine the score threshold for the top 10% of students. By using the NORMINV formula with the mean and standard deviation of the scores, you can easily find the cutoff score for high achievers.

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