# NORMSINV

The NORMSINV function returns the inverse of the standard normal cumulative distribution. In simpler terms, it calculates the Z-score (standard score) corresponding to a specified probability in a standard normal distribution.

## Syntax

=NORMSINV(`Probability`

)

`Probability` | The probability for which you want to find the corresponding Z-score. Should be between 0 and 1 inclusive. |

## About NORMSINV

When you're dealing with statistics and probabilities, the NORMSINV function in Excel comes to the rescue. It's your trusty assistant for determining the Z-score that corresponds to a specific probability in a standard normal distribution. In simple terms, it helps you figure out where a particular value falls within the standard deviation framework of a data set with a mean of 0 and a standard deviation of 1.

To leverage NORMSINV effectively, you need to input a probability value between 0 and 1. Excel then works its magic and calculates the Z-score that aligns with this probability, allowing you to interpret data points in relation to the standard normal distribution.

One of the key advantages of NORMSINV is its ability to provide insights into how extreme or common a certain value is within a dataset. By utilizing this function, you can analyze the likelihood of an event occurring based on its position in the normal distribution curve, aiding your decision-making process when assessing statistical outcomes.

## Examples

Suppose you want to find the Z-score for a probability of 0.95. The NORMSINV formula would be:

=NORMSINV(0.95)

This will return the Z-score corresponding to a probability of 0.95 in a standard normal distribution.

## Notes

Make sure to input a valid probability value between 0 and 1 in the NORMSINV function. The result of NORMSINV represents the number of standard deviations away from the mean in a standard normal distribution.

## Questions

**How does the NORMSINV function work?**

The NORMSINV function calculates the Z-score that corresponds to a given probability in a standard normal distribution. It helps in determining the position of a value within the distribution in terms of standard deviations from the mean.

**What is the range of valid probabilities for the NORMSINV function?**

The NORMSINV function requires a probability value between 0 and 1. This represents the likelihood of an event occurring within the context of a standard normal distribution.

**How can I utilize the Z-score obtained from NORMSINV?**

The Z-score obtained from NORMSINV helps in understanding the relative position of a data point in a normal distribution. Positive Z-scores denote values above the mean, while negative Z-scores indicate values below the mean.