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THE FEUTEX TOOLKIT

Cauchy Distribution Profile

Evaluate Cauchy cumulative probability, density and interquartile range without undefined moments.

Probability workspace● Runs in your browser
01 Your input
02 Your result
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FormulaCdf = .5+atan((x-mu)/s)/PI; Density = 1/(PI*s*(1+((x-mu)/s)**2)); Iqr = 2*s
Sources and model references

How to use this tool

  1. Enter the labeled inputs using consistent units.
  2. Check the stated assumptions and calculate.
  3. Review each output and compare another input scenario.

Try this example

{
  "mu": 0,
  "s": 2,
  "x": 2
}

Accuracy and scope

Mean and variance do not exist; location is the median, not an expected value. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.