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Lognormal Distribution Density Calculator

Online lognormal distribution density calculator. Mean and deviation describe the natural logarithm of the variable.

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lognormal distribution density calculator online

Use lognormal distribution density calculator online for x, log mean, log sd. Mean and deviation describe the natural logarithm of the variable. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.

How to use it

Enter x. Set log mean, log sd. Select Calculate and check the labeled output. Copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
xMain input. Positive values. 2
log meanOption. Signed finite values. 0
log sdOption. Positive values. 1

Calculation method

density = exp(-(ln(x)-log_mean)^2/(2*log_sd^2))/(x*log_sd*sqrt(2*pi)) (^ means exponentiation; trig functions ending in d use degrees).

Worked examples

Apply lognormal distribution density calculator to the case below, keeping the displayed units and assumptions. Mean and deviation describe the natural logarithm of the variable.

Lognormal Distribution Density Calculator — worked case

Settings: log mean: 0; log sd: 1

Input:

2

Calculated result for these inputs:

Output:

{
  "density": 0.15687401927898112
}

Choose the right tool

Choose number theory for exact integer relationships, distribution tools for a declared random model, and geometry tools for coordinates. A density is not a probability and a statistical model does not establish a real-world outcome.

Limitations and common mistakes

  • Mean and deviation describe the natural logarithm of the variable. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.
  • Use the displayed unit in every field. Ratios and percentages are different inputs; percent fields use values such as 25 rather than 0.25.

Frequently asked questions

How can I use lognormal distribution density calculator online?

Enter x. Set log mean, log sd. Select Calculate and check the labeled output. Copy or download the JSON result.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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