the probabilities of having two samples differing by t, and every other sample having a value between the two extremes. The probability of one sample having a value of x is . The probability of another having a value t greater than x is: The probability of all other values lying between these two extremes is: Combining the three together yields: Related quantities The range is a specific example of order statistics. In particular, the range is a linear function of order statistics, which brings it into the scope of L-estimation. See also Interquartile range Studentized range References Statistical deviation and dispersion Scale statistics Summary statistics