How to Use the NORMSINV Function in Excel

Today, we will delve into the capabilities of the NORMSINV function, a robust statistical tool found in both Microsoft Excel and Google Sheets. This function primarily computes the inverse of the standard normal cumulative distribution, essentially enabling you to determine the z-score corresponding to a specific probability within a standard normal distribution. Let’s further investigate the mechanics of this function and its application in your spreadsheet tasks.

Understanding the Syntax

The function’s syntax in Excel and Google Sheets is as follows:

=NORMSINV(probability)
  • probability: The probability associated with the desired z-score, which should be a value between 0 and 1.

Working with Examples

We’ll examine realistic scenarios to illustrate the practical use of the NORMSINV function.

Example 1: Finding Z-Score for a Probability

Consider a scenario where you need to find the z-score for a probability of 0.95. By employing the NORMSINV function, this calculation becomes straightforward in Excel or Google Sheets.

Formula Result
=NORMSINV(0.95) 1.64485363

This utilization of the NORMSINV function provides a z-score of approximately 1.645 for the specified probability of 0.95, indicating the 95th percentile of the standard normal distribution.

Example 2: Using NORMSINV for Statistical Analysis

The NORMSINV function also serves as a vital component in statistical analysis. It’s employed to compute critical values, establish confidence intervals, and facilitate hypothesis testing in Excel or Google Sheets.

By inputting various probabilities into the NORMSINV function, you can promptly acquire the corresponding z-scores, thereby enabling precise decisions based on the nuances of the standard normal distribution.

Conclusion

The NORMSINV function is an indispensable resource for handling standard normal distributions and achieving comprehensive statistical analysis in Excel and Google Sheets. Familiarizing yourself with its syntax and practical applications will undoubtedly amplify your analytical skills, allowing for more informed decision-making in your projects.

More information: https://support.microsoft.com/en-us/office/normsinv-function-8d1bce66-8e4d-4f3b-967c-30eed61f019d

Other functions
Returns the beta cumulative distribution function
Returns the inverse of the cumulative distribution function for a specified beta distribution
Returns the individual term binomial distribution probability
Returns the one-tailed probability of the chi-squared distribution
Returns the inverse of the one-tailed probability of the chi-squared distribution
Returns the test for independence
Returns the confidence interval for a population mean
Returns covariance, the average of the products of paired deviations
Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value
Returns the exponential distribution
Returns the F probability distribution
Rounds a number down, toward zero
Returns the result of an F-test
Returns the gamma distribution
Returns the inverse of the gamma cumulative distribution
Returns the hypergeometric distribution
Returns the inverse of the lognormal cumulative distribution
Returns the cumulative lognormal distribution
Returns the most common value in a data set
Returns the negative binomial distribution
Returns the inverse of the normal cumulative distribution
Returns the normal cumulative distribution
Returns the standard normal cumulative distribution
Returns the k-th percentile of values in a range
Returns the percentage rank of a value in a data set
Returns the Poisson distribution
Returns the quartile of a data set
Returns the rank of a number in a list of numbers
Estimates standard deviation based on a sample
Calculates standard deviation based on the entire population
Returns the Student's t-distribution
Returns the inverse of the Student's t-distribution
Returns the probability associated with a Student's t-test
Estimates variance based on a sample
Calculates variance based on the entire population
Calculates variance based on the entire population, including numbers, text, and logical values
Returns the one-tailed probability-value of a z-test