How this calculation works
Find the value with a given fraction of a Cauchy distribution below it.
THE FORMULA
x=x₀+γ tan(π(p−½))A worked example
The standard Cauchy has a 75th percentile of 1.
Good to know
The location is the median. This distribution has no finite mean.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Find the value with a given fraction of a Cauchy distribution below it.
The primary result is labeled “Quantile”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The location is the median. This distribution has no finite mean.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
The standard Cauchy has a 75th percentile of 1.
Which rule does this calculator apply?
x=x₀+γ tan(π(p−½))