How this calculation works
Measure how far a positive threshold lies through an interval on a logarithmic scale.
THE FORMULA
F(x)=ln(x/a)/ln(b/a) on [a,b]A worked example
Between 1 and 100, half of the probability lies below 10.
Good to know
The model assigns equal mass to equal ratios, as in successive powers of ten.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Measure how far a positive threshold lies through an interval on a logarithmic scale.
The primary result is labeled “Cumulative probability”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The model assigns equal mass to equal ratios, as in successive powers of ten.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
Between 1 and 100, half of the probability lies below 10.
Which rule does this calculator apply?
F(x)=ln(x/a)/ln(b/a) on [a,b]