# LOGNORM.DIST function

Returns the lognormal distribution of x, where ln(x) is normally distributed with parameters mean and standard_dev. Use this function to analyze data that has been logarithmically transformed.

## Syntax

LOGNORM.DIST(x,mean,standard_dev,cumulative)

Argument

Description

Remarks

x

The value at which to evaluate the function.

• If this argument is equal to or less than zero, this function returns the #NUM! error value.

• If this argument is nonnumeric, this function returns the #VALUE! error value.

mean

A mean of ln(x).

• If this argument is nonnumeric, this function returns the #VALUE! error value.

standard_dev

The standard deviation of ln(x).

• If this argument is equal to or less than zero, this function returns the #NUM! error value.

• If this argument is nonnumeric, this function returns the #VALUE! error value.

cumulative

A logical value that determines the form of the function.

• If this argument is TRUE, this function returns the cumulative distribution function; if FALSE, it returns the probability density function.

• If this argument is nonnumeric, this function returns the #VALUE! error value.

## General remarks

The equation for the lognormal cumulative distribution function is:

LOGNORM.DIST(x,µ,σ) = NORM.S.DIST(1n(x)-µ / σ)

## Example

To make the following example easier to understand, you can copy the data to a blank sheet and then enter the function underneath the data. Do not select the row or column headings (1, 2, 3... A, B, C...) when you copy the sample data to a blank sheet.

 1 2 3 4
 A B Data Description 4 Value at which to evaluate the function (x) 3.5 Mean of ln(x) 1.2 Standard deviation of ln(x) Formula Description (Result) =LOGNORM.DIST(A2,A3,A4,TRUE) Cumulative lognormal distribution at 4 with the terms in the table (0.039084) =LOGNORM.DIST(A2,A3,A4,FALSE) Probability lognormal distribution at 4 with the terms in the table (0.017618)
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