# Documentation/Calc Functions/LOGNORM.DIST

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LOGNORM.DIST

## Category:

Statistical Analysis

## Summary:

Calculates either the probability density function or the cumulative distribution function values of the log-normal distribution for the given data.

## Syntax:

LOGNORM.DIST(Number; Mean; StDev; Cumulative)

## Returns:

Returns a non-negative real number representing the requested value for the log-normal distribution with the specified mean and standard deviation.

## Arguments:

Number is a real number or a reference to the cell containing that number which is the value for which the log-normal distribution is to be calculated.

Mean is a real number or a reference to the cell containing that number which is the mean value of the log-normal distribution.

StDev is a positive real number or a reference to the cell containing that number which is the standard deviation of the log-normal distribution.

Cumulative can be 0 or False to calculate the probability density function. It can be any other value or True to calculate the cumulative distribution function.

• If Number is negative or zero then the function returns a zero value for the cumulative distribution function. However, it returns an error for the probability density function for these values.
• If StDev is negative or zero then the function returns an error value.

## Additional details:

• The formula for LOGNORM.DIST is:

If Cumulative is FALSE(), LOGNORM.DIST returns an error value if x <= 0 and the probability density function value

otherwise If Cumulative is TRUE(), LOGNORM.DIST returns 0 if x <= 0 and the cumulative distribution function value

otherwise

where x = Number μ = Mean σ = StDev

• For more details on the log-normal distribution, visit Wikipedia.

## Examples:

Formula Description Returns
=LOGNORM.DIST(0.1;0;1;1) Calculates the cumulative distribution function for the log-normal distribution for the given argument values. 0.0106510993417
=LOGNORM.DIST(7.14,1.5,3.2,1) Calculates the cumulative distribution function for the log-normal distribution for the given argument values. 0.557855853816984
=LOGNORM.DIST(7.14,1.5,3.2,0) Calculates the probability density function for the log-normal distribution for the given argument values. 0.017276771409644
=LOGNORM.DIST(1,0,0.25,0) Calculates the probability density function for log-normal distribution for the given argument values. 1.59576912160573
=LOGNORM.DIST(-7.14,1.5,3.2,0) For negative and zero value of Number the function returns an error value for the probability density function. Err:502
=LOGNORM.DIST(-7.14,1.5,3.2,1) For negative and zero value of Number the function returns zero for the cumulative distribution function. 0
=LOGNORM.DIST(0,1.5,3.2,1) For negative and zero value of Number the function returns zero for the cumulative distribution function. 0

None

LOGNORM.DIST