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Benford Leading Digit Probability

Online benford leading digit probability. Theoretical first-digit distribution; does not prove fraud or data quality.

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benford leading digit probability calculator online

Use benford leading digit probability online for digit. Theoretical first-digit distribution; does not prove fraud or data quality. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.

How to use it

Enter digit. Select Calculate and check the labeled output. Copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
digitMain input. Whole numbers. 1

Calculation method

probability = log10(1+1/integer(digit,1,9)) (^ means exponentiation; trig functions ending in d use degrees).

Worked examples

Apply benford leading digit probability to the case below, keeping the displayed units and assumptions. Theoretical first-digit distribution; does not prove fraud or data quality.

Benford Leading Digit Probability — worked case

Settings: No additional options

Input:

1

Calculated result for these inputs:

Output:

{
  "probability": 0.3010299956639812
}

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

  • Theoretical first-digit distribution; does not prove fraud or data quality. 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 benford leading digit probability calculator online?

Enter digit. 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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