## Excel PHI Function

### Description

The Excel PHI function returns the value of density distribution for a standard normal distribution for a given number.

Formula syntax

PHI(x)

Arguments

 X: Required, the number for which you want to return the density function for a standard normal distribution..

### Returns

PHI function returns a numeric value.

### Errors

1. If x is a number value that is not valid, an error value #NUM! is returned.

2. If x is a data type that is not valid, such as a non-numeric value, an error value #VALUE! is returned.

### Version

Excel 2013 and later versions

### Usage and Examples

Basic usage

To get the related values of density distribution for the standard normal distributions for values between -2 and 2 which is listed in cell B3:B23 with 0.2 as an interval, please use the PHI function in the top result cell as below:

=PHI(-2)

For making the reference auto-changing, you can use the cell reference in the formula as this:

=PHI(B3)

Press Enter key, then drag the auto-fill handle down to the end of the list.

#### Other Functions:

• Excel F.INV Function
The Excel F.INV function returns the inverse of F probability distribution. If p (probability) = F.DIST(x,…), then F.INV(p,…)= x.

• Excel FDIST Function
The Excel FDIST Function returns the (right-tailed) F probability distribution which is usually used to measure the degree of diversity between two data sets.

• Excel EXPON.DIST Function
EXPON.DIST function used in Excel 2010, returns the exponential distribution based on the given x value and the parameter of the distribution.

• Excel F.DIST Function
The Excel F.DIST function returns the F probability distribution which is usually used to measure the degree of diversity between two data sets.

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