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Excel PHI Function

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

Formula syntax



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


PHI function returns a numeric value.


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.


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:


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


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