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 (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):

  • 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.

ShowHow do I copy an example?

  1. Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
    Important: Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help

  1. Press CTRL+C.
  2. Create a blank workbook or worksheet.
  3. In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
    Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
  4. 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 Web App, SharePoint Online for enterprises, SharePoint Online for professionals and small businesses