# NORM.INV

The NORM.INV function calculates the inverse of the standard normal cumulative distribution. It is commonly used in statistics and data analysis to find the value that corresponds to a specified probability in a standard normal distribution.

## Syntax

=NORM.INV(`probability`

, `mean`

, `standard_dev`

)

`probability` | The probability for which you want to find the corresponding value in the standard normal distribution. |

`mean` | The arithmetic mean of the distribution. |

`standard_dev` | The standard deviation of the distribution. |

## About NORM.INV

When dealing with normal distributions and the need to determine the value associated with a particular probability, the NORM.INV function in Excel is your go-to tool. Whether tackling statistical analyses or data modeling, this function offers a reliable means of calculating the inverse of the standard normal cumulative distribution, aiding in probability assessments with precision and efficiency. By inputting the desired probability along with the distribution's mean and standard deviation, users can swiftly derive the corresponding value in the standard normal curve, facilitating informed decision-making and insightful data interpretations.

## Examples

Suppose you have a standard normal distribution with a mean of 0 and a standard deviation of 1. You wish to find the value that corresponds to a probability of 0.95. The NORM.INV formula would be: =NORM.INV(0.95, 0, 1). This will return the value that aligns with a 95% probability in the standard normal distribution.

Consider a scenario where the mean is 10 and the standard deviation is 2 for a normal distribution. You aim to determine the value associated with a probability of 0.80. The NORM.INV formula would be: =NORM.INV(0.80, 10, 2). This calculation will provide the value that corresponds to an 80% probability in this particular normal distribution.

## Notes

Ensure that the provided probability falls within the valid range of 0 to 1 when using the NORM.INV function. It assumes a standard normal distribution with a mean of 0 and a standard deviation of 1 unless specified otherwise by the user.

## Questions

**How does the NORM.INV function differ from the NORM.S.INV function?**

The NORM.INV function considers a standard normal distribution with a mean of 0 and a standard deviation of 1, whereas the NORM.S.INV function is used for non-standard normal distributions where the mean and standard deviation are provided by the user.

**Can the NORM.INV function be used in financial analysis?**

Yes, the NORM.INV function is commonly employed in financial analysis, particularly in risk assessment and probability modeling scenarios. It aids in determining values associated with specific probabilities in normal distributions, facilitating decision-making processes.

**What should be considered when inputting the mean and standard deviation in the NORM.INV function?**

When specifying the mean and standard deviation, ensure they accurately reflect the characteristics of the distribution under consideration. Incorrect inputs may lead to erroneous results, impacting the accuracy of the probability calculations.

**Is it necessary to provide the mean and standard deviation in the NORM.INV function?**

Yes, it is essential to include the mean and standard deviation parameters when using the NORM.INV function. These values are crucial for determining the inverse of the standard normal cumulative distribution accurately.

## Related functions

NORM.DIST

NORM.S.DIST

NORM.INV

NORM.S.INV

NORM.S.DIST

NORM.S.INV

NORM.INV

NORM.S.INV