The median rank function

is used to estimate the cumulative probability of failure of the

of

identically stressed samples. There are several simple formulas proposed by Weibull and others [1] that give approximate values for the median rank.
The exact median rank function

is related to the incomplete beta function

, which is hard to calculate. Jacquelin [2] recommends an algorithm based on the Newton-Raphson method.
This Demonstration presents the exact median rank using Jacquelin's method and plots it in different ways.