How this calculation works
Find the value at a chosen percentile of a logistic distribution.
THE FORMULA
Q(p)=μ+s[ln(p)−ln(1−p)]A worked example
At location 10, scale 2 and cumulative probability 0.75, the quantile is 10+2 ln 3.
Good to know
The probability must lie strictly between zero and one.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Find the value at a chosen percentile of a logistic distribution.
The primary result is labeled “Quantile”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The probability must lie strictly between zero and one.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
At location 10, scale 2 and cumulative probability 0.75, the quantile is 10+2 ln 3.
Which rule does this calculator apply?
Q(p)=μ+s[ln(p)−ln(1−p)]