As the name from the formula, we can think that this function calculates the inverse of the normal distribution and for this function, the mean of the data set always remains zero and the standard deviation is always one, this is also an inbuilt function in excel which is used in statistics such as regression analysis.

## NORM.S.INV() Function in Excel

It’s a pre-built integrated function in excel that is categorized under Statistical functions in excel. NORM.S.INV excel function is the latest updated version with improved accuracy compared to the older version of this excel function

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For eg:

Source: NORM.S.INV Function in Excel (wallstreetmojo.com)

- The normal distribution is the most widely used distribution in statistics. It is also called a “Bell curve” or “Gaussian curve.”
- The normal distribution can be fully described based on its mean and standard deviation (SD) values.
- A normal distribution is called Standard Normal Distribution when its mean value is “0” or zero, and the standard deviation value is equal to 1

The normal distributionNormal DistributionNormal Distribution is a bell-shaped frequency distribution curve which helps describe all the possible values a random variable can take within a given range with most of the distribution area is in the middle and few are in the tails, at the extremes. This distribution has two key parameters: the mean (µ) and the standard deviation (σ) which plays a key role in assets return calculation and in risk management strategy.read more can be standardized by using the below-mentioned formula

**z = (x – mean)/ sd**

Z value on the x-axis is the standard normal deviate. Here, Red arrowed line in the curve indicates where the standard deviation of the mean value is within 1, whereas the green arrowed line in the curve indicates where the standard deviation of the 0mean value is within 2.

### Definition of NORM.S.INV Excel Function

NORM.S.INV Excel function is used to find out or to calculate the inverse normal cumulative distribution for a given probability value

It returns the inverse of the standard normal cumulative distribution. The distribution has a mean of zero and a standard deviation of one.

Given the probability that a variable is within a certain distance of the mean, it calculates the z value (standard normal deviate), where it corresponds to an area under the curve

Usually, the area should be between 0 and 1

Here z value (standard normal deviate) corresponds to one-tailed probability P.

Where P value must be between 0 and 1 (0<P<1)

### NORM.S.INV Formula in Excel

The syntax or formula for the NORM.S.INV function in Microsoft Excel is:

Its syntax or formula has the below-mentioned argument:

**Probability:** (Compulsory or required parameter) It is a probability corresponding to the normal distribution

It is the inverse of the NORM.S.DIST function

**How to Use NORM.S.INV Function in Excel?**

Let’s look out how the NORM.S.INV excel function works in Excel.

### Example #1 – A Probability (P) Value Less Than 0.5

In the below-mentioned example, I have a dataset in a cell “C9,” i.e., 0.28, which is a probability value.

Here I need to find out the approximate value of the inverse of the standard normal cumulative distribution using NORM.S.INV excel FUNCTION

Let’s apply this function in cell “C13”. Select the cell “C13.”

Click the insert functionInsert FunctionThe Insert function in Excel is not a real function; rather, it is a wizard box that helps users find out what type of function they need in their data. This wizard box can be found under the formula tab in newer versions of Excel.read more button (fx) under the formula toolbar.

a dialogue box will appear,

Type the keyword “NORM” in the search for a function box; various standard normal cumulative distribution equations appear. In that select NORM.S.INV Excel function

**Probability**: It is a probability corresponding to the normal distribution; here, it is 0.28

Click ok, after entering the probability argument= NORM.S.INV (0.28)

This returns the approximate value of the inverse of the standard normal cumulative distribution or Standardized Normal deviate, i.e., -0.582841507

### Example #2 – A Probability (P) Value More Than 0.5

In the below-mentioned example, I have a dataset in a cell “B22,” i.e.0.88, which is a probability value.

Here I need to find out the approximate value of the inverse of the standard normal cumulative distribution using NORMSINV() FUNCTION

Let’s apply this function in cell “B26”. Select the cell “B26.”

Click the insert functionInsert FunctionThe Insert function in Excel is not a real function; rather, it is a wizard box that helps users find out what type of function they need in their data. This wizard box can be found under the formula tab in newer versions of Excel.read more button (fx) under the formula toolbar.

A dialog box will appear.

Type the keyword “NORM” in the search for a function box; various standard normal cumulative distribution equations appear. In that select NORM.S.INV() function.

Double click on the function, A dialog box appears where arguments need to be filled or entered, i.e., =NORM.S.INV (probability)

**Probability:** It is a probability corresponding to the normal distribution; here, it is 0.88

Click ok after entering the probability argument, i.e., =NORM.S.INV(0.88)

It returns the approximate value of the inverse of the standard normal cumulative distribution or Standardized Normal deviate, i.e., 1.174986792

### Example #3 – A Probability (P) Value of 0.51

In the below-mentioned example, I have a dataset in a cell “B32,” i.e., 0.51, which is a probability value.

Here I need to find out the approximate value of the inverse of the standard normal cumulative distribution using NORM.S.INV() FUNCTION

Let’s apply this function in cell “B37”.

Click the insert function button (fx) under the formula toolbar

a dialogue box will appear.

Type the keyword “NORM” in the search for a function box; various standard normal cumulative distribution equations appear.

**Probability:** It is a probability corresponding to the normal distribution; here, it is 0.51

Click ok, after entering the probability argument = NORM.S.INV(0.51)

It returns the approximate value of the inverse of the standard normal cumulative distribution or Standardized Normal deviate, i.e., 0.025068908

### Things to Remember About The NORMSINV() Function in Excel

The most common errors in excelErrors In ExcelErrors in excel are common and often occur at times of applying formulas. The list of nine most common excel errors are - #DIV/0, #N/A, #NAME?, #NULL!, #NUM!, #REF!, #VALUE!, #####, Circular Reference.read more which occur in this function is #NUM! error & #VALUE! error

#### 1. #NUM! Error

#NUM! error Occurs when the given probability argument is less than zero (Negative values) or equal to zero or greater than one.

In the below-mentioned table, cell “B41” value numeric value 0, If we apply NORM.S.INV function, it returns a #NUM! error

Similarly, if we apply, NORM.S.INV() function on the values 1.5 & -1.5 in the cells B42 & B43, it returns a **#**NUM!error

#### 2. #VALUE! Error

#VALUE! Error occurs#VALUE! Error Occurs#VALUE! Error in Excel represents that the reference cell the user has either entered an incorrect formula or used a wrong data type (mostly numerical data). Sometimes, it is difficult to identify the kind of mistake behind this error.read more if any of the given arguments is text value or non-numeric

In the below-mentioned table, cell “B24” contains a text value, i.e., it contains the word “TEXT.” If we apply NORM.S.INV excel function to find out the approximate value of the inverse of the standard normal cumulative distribution. It returns #VALUE! error

The precision or accuracy of this function values depends on the accuracy of NORM.S.INV & NORM.S.DIST. values. It uses an iterative search technique.

### Recommended Articles

This has been a guide to NORM.S.INV Function in Excel. Here we discuss its uses and how to use NORM.S.INV Function in Excel, along with excel examples and downloadable excel templates. You may also look at these useful functions in excel –

- Make a Normal Distribution Graph in Excel
- NORMDIST Function in Excel
- TRANSPOSE Excel Function
- FORECAST Function in Excel

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Sean W says

Thank you for posting these articles with explanations, its extremely helpful

Dheeraj Vaidya says

Thanks for your kind words!