Excel - LOGNORM.INV Function



LOGNORM.INV Function

The Excel LOGNORM.INV function evaluates the inverse of the lognormal cumulative distribution function of x. Statisticians and academic researchers can analyze enormous logarithmic distributed data using the LOGNORM.INV function, which is opposite to the LOGNORM.DIST function.

Mathematically, if p = LOGNORM.DIST(x...) then LOGNORM.INV (p...) = x.

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
  • Excel 2010

Syntax

The syntax of LOGNORM.INV function is as follows −

=LOGNORM.INV(probability, mean, standard_dev)

Arguments

You can use the following arguments with the LOGNORM.INV function −

Argument Description Required/ Optional
Probability A numeric value linked with the lognormal distribution. Required
Mean The mean of ln(x) Required
Standard_dev The standard deviation of ln(x). Required

Points to Remember

  • This function was first introduced in the Excel 2010 version.
  • If any argument contains a non-numeric value, then the LOGNORM.INV function will retrieve the #VALUE! error.
  • The probability must lie between 0 and 1. Otherwise, the LOGNORM.INV function returns the #NUM! error.
  • If standard_dev equals 0 or contains a negative value, the LOGNORM.INV function returns the #NUM! error.

Examples of LOGNORM.INV Function

Practice the following examples to learn the use of the LOGNORM.INV function in Excel.

Example 1: How to use the LOGNORM.INV function in Excel?

In this example, we will demonstrate the execution of the LOGNORM.INV function using the arithmetic mean, standard deviation and probability.

Solution

Step 1 − First, assume the sample dataset, with the Probability set to 0.001, Mean of 10, and Standard Deviation of 2.5. You may enter the formula =LOGNORM.INV(D2,D3,D4) in the D5 cell.

LOGNORM.INV Function1

Therefore, the LOGNORM.INV function returns the 5.24 as a result.

LOGNORM.INV Function2

Example 2

If any argument contains a non-numeric value, then the LOGNORM.INV function will retrieve the #VALUE! error.

Solution

You may write the formula =LOGNORM.INV(0.34,"format",1) in the C2 cell and hit the Enter tab. In this expression, Mean argument contains the text "format" which causes an error while computing this function.

LOGNORM.INV Function3

Hence, the #VALUE! is returned by the LOGNORM.INV function.

LOGNORM.INV Function4

Example 3

The probability must lie between 0 and 1. Otherwise, the LOGNORM.INV function returns the #NUM! error.

Solution

You may write the formula =LOGNORM.INV(4,3.5,1) in the C3 cell and press the Enter tab.

LOGNORM.INV Function5

Therefore, the LOGNORM.INV function retrieves the #NUM! error.

LOGNORM.INV Function6

Example 4

If standard_dev equals 0 or contains a negative value, the LOGNORM.INV function returns the #NUM! error.

Solution

You can write the formula =LOGNORM.INV(0.05,3.5,-1) in the C4 cell and press the Enter tab.

LOGNORM.INV Function7

Hence, the LOGNORM.INV function returns the #NUM! Error as the standard deviation equals -1, which is not permissible.

LOGNORM.INV Function8

Download Practice Sheet

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

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