Note: The other languages of the website are Google-translated. Back to English
English English

Excel NORM.INV Function

The NORM.INV calculates and returns the inverse of the normal cumulative distribution for the given arithmetic mean and standard deviation.

norm.inv function 1


=NORM.INV(probability, mean, standard_dev)


  • probability (required): The probability corresponding to the normal distribution. It is the value at which you want to evaluate the inverse function.
  • mean (required): The arithmetic mean of the distribution.
  • standard_dev (required): The standard deviation of the distribution.

Return Value

The NORM.INV function returns a numeric value.

Function Notes

  • The #VALUE! error occurs if any of the supplied arguments is nonnumeric.
  • The #NUM! error occurs if:
    • standard_dev ≤ 0;
    • probability ≤ 0 or probability ≥ 1.


norm.inv function 2

Suppose that you have a list of probabilities (normal cumulative distribution) that are calculated with the NORM.DIST function as shown in the formula bar above, to get the inverse of the cumulative distribution with the same set of mean and standard deviation values, please copy or enter the formula below in cell F9, and press Enter to get the result:


√ Note: The dollar signs ($) above indicate absolute references, which means the array argument in the formula won't change when you move or copy the formula to other cells. However, there are no dollar signs added to probability since you want it to be dynamic. After entering the formula, drag the fill handle down to apply the formula to the below cells.

norm.inv function 3

Note that for the normal cumulative distribution (probability) that is calculated with NORM.DIST(x, mean, standard_dev, TRUE), the NORM.INV function will return the x value based on the same probability, mean and standard_dev.


  • NORM.INV uses the normal distribution with the mean and standard deviation you specified;
  • NORM.S.INV uses the standard normal distribution which is a special case of the normal distribution where the mean is 0 and the standard deviation is 1.

Related functions

Excel NORM.S.INV Function

The NORM.S.INV calculates and returns the inverse of the standard normal cumulative distribution that has an arithmetic mean of 0 and standard deviation of 1 with a given probability.

Excel NORM.DIST Function

The NORM.DIST calculates and returns the cumulative distribution function or probability density function of a value for the given arithmetic mean and standard deviation.

Excel NORM.S.DIST Function

The NORM.S.DIST calculates and returns the standard normal cumulative distribution function or probability density function of a value for an arithmetic mean of 0 and standard deviation of 1.

The Best Office Productivity Tools

Kutools for Excel - Helps You To Stand Out From Crowd

Would you like to complete your daily work quickly and perfectly? Kutools for Excel brings 300 powerful advanced features (Combine workbooks, sum by color, split cell contents, convert date, and so on...) and save 80% time for you.

  • Designed for 1500 work scenarios, helps you solve 80% Excel problems.
  • Reduce thousands of keyboard and mouse clicks every day, relieve your tired eyes and hands.
  • Become an Excel expert in 3 minutes. No longer need to remember any painful formulas and VBA codes.
  • 30-day unlimited free trial. 60-day money back guarantee. Free upgrade and support for 2 years.
Ribbon of Excel (with Kutools for Excel installed)

Office Tab - Enable Tabbed Reading and Editing in Microsoft Office (include Excel)

  • One second to switch between dozens of open documents!
  • Reduce hundreds of mouse clicks for you every day, say goodbye to mouse hand.
  • Increases your productivity by 50% when viewing and editing multiple documents.
  • Brings Efficient Tabs to Office (include Excel), Just Like Chrome, Firefox, And New Internet Explorer.
Screen Shot of Excel (with Office Tab installed)
Comments (0)
No ratings yet. Be the first to rate!
There are no comments posted here yet
Leave your comments
Posting as Guest
Rate this post:
0   Characters
Suggested Locations