# Documentation/Calc Functions/LOGNORMDIST

LOGNORMDIST

## 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:

LOGNORMDIST(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. If omitted, the function assumes its value to be 0.

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. If omitted, the function assumes its value to be 1.

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. By default, it calculates the cumulative distribution value.

• 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.

• The formula for LOGNORMDIST is:

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

otherwise If Cumulative is TRUE(), LOGNORMDIST 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
=LOGNORMDIST(0.1;0;1) Calculates the cumulative distribution function for the log-normal distribution for the given argument values. 0.0106510993417
=LOGNORMDIST(7.14,1.5,3.2,1) Calculates the cumulative distribution function for the log-normal distribution for the given argument values. 0.557855853816984
=LOGNORMDIST(7.14,1.5,3.2,0) Calculates the probability density function for the log-normal distribution for the given argument values. 0.017276771409644
=LOGNORMDIST(1,0,0.25,0) Calculates the probability density function for the log-normal distribution for the given argument values. 1.59576912160573
=LOGNORMDIST(-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
=LOGNORMDIST(-7.14,1.5,3.2,1) For negative and zero value of Number the function returns zero for the cumulative distribution function. 0
=LOGNORMDIST(2.5) Calculates the cumulative distribution function (default) for the log-normal distribution for the given argument values. Its mean value is 0 and the standard deviation is 1 by default. 0.820242786104214
=LOGNORMDIST(0) For negative and zero value of Number the function returns zero for the cumulative distribution function. 0

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