LOGNORM.INV function

This article describes the formula syntax and usage of the LOGNORM.INV function in Microsoft Excel.

Description

Returns the inverse of the lognormal cumulative distribution function of x, where ln(x) is normally distributed with parameters Mean and Standard_dev. If p = LOGNORM.DIST(x,...) then LOGNORM.INV(p,...) = x.

Use the lognormal distribution to analyze logarithmically transformed data.

Syntax

LOGNORM.INV(probability, mean, standard_dev)

The LOGNORM.INV function syntax has the following arguments:

  • Probability    Required. A probability associated with the lognormal distribution.

  • Mean    Required. The mean of ln(x).

  • Standard_dev    Required. The standard deviation of ln(x).

Remarks

  • If any argument is nonnumeric, LOGNORM.INV returns the #VALUE! error value.

  • If probability <= 0 or probability >= 1, LOGNORM.INV returns the #NUM! error value.

  • If standard_dev <= 0, LOGNORM.INV returns the #NUM! error value.

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Data

Description

0.039084

Probability associated with the lognormal distribution

3.5

Mean of ln(x)

1.2

Standard deviation of ln(x)

Formula

Description

Result

=LOGNORM.INV(A2, A3, A4)

Inverse of the lognormal cumulative distribution function for the terms above

4.0000252

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