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)

The LOGNORM.DIST function syntax has the following arguments:

  • X     Required. The value at which to evaluate the function.

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

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

  • Cumulative     Required. A logical value that determines the form of the function. If cumulative is TRUE, LOGNORM.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

Remarks

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

  • If x ≤ 0 or if standard_dev ≤ 0, LOGNORM.DIST returns the #NUM! error value.

  • The equation for the lognormal cumulative distribution function is:

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

Example

The example may be easier to understand if you copy it to a blank worksheet.

How do I copy an example?

  1. Select the example in this article.

    Important   Do not select the row or column headers.

    selecting an example from help

    Selecting an example from Help

  2. Press CTRL+C.

  3. In Excel, create a blank workbook or worksheet.

  4. In the worksheet, select cell A1, and press CTRL+V.

    Important   For the example to work properly, you must paste it into cell A1 of the worksheet.

  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

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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 above (0.039084)

=LOGNORM.DIST(A2,A3,A4,FALSE)

Probability lognormal distribution at 4 with the terms above (0.017618)

Applies To: Excel 2010, Excel Starter, Excel Online, SharePoint Online



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