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Excel - LOGNORM.DIST Function
LOGNORM.DIST Function
The Excel LOGNORM.DIST function generates the lognormal cumulative distribution of the provided input x. The massive data can be analyzed which is logically normalized with the assist of the LOGNORM.DIST function. For example, the Probability Density function and Cumulative Distribution function at x =8, a lognormal distributive with a mean of 4 and standard deviation of .3 can evaluated through the LOGNORM.DIST function.
Compatibility
This advanced Excel function is compatible with the following versions of MS Excel −
- Excel for Microsoft 365
- Excel for Microsoft 365 for Mac
- Excel for the web
- Excel 2024 for Mac
- Excel 2021
- Excel 2021 for Mac
- Excel 2019
- Excel 2016
- Excel 2013
- Excel 2010
Syntax
The syntax of the LOGNORM.DIST function is as follows −
=LOGNORM.DIST(x,mean,standard_dev,cumulative)
Arguments
You can use the following arguments with the LOGNORM.DIST function −
| Argument | Description | Required/ Optional |
|---|---|---|
| X | A numeric value at which to evaluate the function. | Required |
| Mean | The mean of ln(x). | Required |
| Standard_dev | The standard deviation of ln(x). | Required |
| Cumulative |
A boolean value to identify the function's form. If the cumulative is TRUE, then the LOGNORM.DIST function retrieves the cumulative distribution function. If cumulative is FALSE, then the function retrieves the probability density function. |
Required |
Points to Remember
- The equation for the lognormal cumulative distribution function is −
$$\mathrm{\text{LOGNORM.DIST }\:\left ( x,\:\mu\:,o\right)\:=\:\text{ NORM.S.DIST }\left(ln\left(X \right)\:-\:\mu /o \right )}$$
- If any argument contains values other than the numeric, then the LOGNORM.DIST function returns the #VALUE! error.
- If x is less than or equal to 0 or if standard_dev is less than or equal to 0, then the LOGNORM.DIST function retrieves the #NUM! error.
Examples of LOGNORM.DIST Function in Excel
Practice the following examples to learn the use of the LOGNORM.DIST function in Excel.
Example 1: How to use the LOGNORM.DIST function in Excel?
In this example, the LOGNORM.DIST function is computed to get the probability density function and cumulative distribution function.
Step 1 − Consider the sample dataset where the value of x is 8.21, the Mean value is 12, and the Standard deviation is 2.3.
Step 2 − After that, enter the formula =LOGNORM.DIST(C2,C3,C4,FALSE) in the C5 cell and hit the Enter tab.
Therefore, the LOGNORM.DIST function returns the 2.02308E-06 as a result.
Step 3 − Afterward, write the formula =LOGNORM.DIST(C2,C3,C4,TRUE) and press the Enter tab.
Hence, the LOGNORM.DIST function returns the 8.46238E-06 representing the cumulative distribution function.
Example 2
If any argument contains values other than the numeric, then the LOGNORM.DIST function returns the #VALUE! error.
Solution
You can type the formula =LOGNORM.DIST(3.5,"old",1,TRUE) in the C4 cell. Here, Mean contains the non-numeric value, which is invalid.
Hence, the LOGNORM.DIST function generates the #VALUE! error.
You can edit the mean value to get an accurate result.
Example 3
If x is less than or equal to 0 or if standard_dev is less than or equal to 0, then the LOGNORM.DIST function retrieves the #NUM! error.
Solution
You may enter the formula =LOGNORM.DIST(3.5,2,-1, TRUE) in the C2 cell. Here, the standard deviation value is negative, -1.
Once you hit the Enter tab, the LOGNORM.DIST function retrieves the #NUM!.
Download Practice Sheet
You can download and use the sample data sheet to practice the LOGNORM.DIST function.