Excel - PHI Function



PHI Function

The Excel PHI function is part of the Statistical function. It generates the value of the density function specially designed for a standard normal distribution. The function was first launched in Excel 2013 and was not included in earlier Excel versions. Academicians and Researchers use this function for data interpretation, to evaluate probabilities, and to analyze the normal distribution in statistics and financial modeling.

Compatibility

This advanced Excel function is compatible with the following versions of MS Excel.

  • Excel for Microsoft 365
  • Excel for Microsoft 365 for Mac
  • Excel for the web
  • Excel 2024
  • Excel 2024 for Mac
  • Excel 2021
  • Excel 2021 for Mac
  • Excel 2019
  • Excel 2016
  • Excel 2013

Syntax

The syntax of the PHI function is as follows −

=PHI(x)

Arguments

You can use the following arguments with the PHI function −

Argument Description Required/ Optional
X X is the number for which you want the density of the standard normal distribution. Required

Points to Remember

  • If the invalid number is specified in the X argument, then the PHI function will retrieve the #NUM! error.
  • If X argument doesn't contain the numeric value, then the PHI function yields the #VALUE! error.

How to use the PHI Function in Excel?

1. Open the targeted Excel worksheet.

2. Import the data from the local system or enter the random numeric-based data points in the specific column.

3. Double-click on the cell and type =PHI(cell range that refers to the data points).

4. Finally, hit the Enter tab to get the results.

Examples of PHI Function in Excel

Practice the following examples to get the master proficiency in the PHI function in Excel.

Example 1: How to use the PHI Function in Excel?

In this example, we will apply the PHI function to a range of negative and decimal numbers.

Solution

Step 1 − First, assume the sample dataset, with the list of numeric values specified in the cell range B2:B5.

PHI Function in Excel

Step 2 − Afterward, select the cell range B2:B5 and write the PHI formula =PHI(B2:B5).

PHI Function in Excel 1

And then, hit the Ctrl+ Enter tab to display the result in the selected cell range.

PHI Function in Excel 2

Example 2

If X argument doesnt contain the numeric value, then the PHI function yields the #VALUE! error.

Solution

Step 1 − First, select the cell C2 and write the formula =PHI(C2) in it.

PHI Function in Excel 3

Step 2 − After pressing the Enter tab, the PHI function will retrieve the #VALUE! error.

PHI Function in Excel 4

Step 3 − Furthermore, move to the next cell C3, and, write the formula =PHI(0) and hit the Enter tab.

PHI Function in Excel 5

Therefore, the PHI function returns the 0.39894228.

PHI Function in Excel 6

Download Practice Sheet

You can download and use the sample data sheet to practice the PHI function.

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