Given order statistics Y_1 = min_j X_j, Y_2, ..., Y_(N - 1), Y_N = max_j X_j with sample size N, the midrange of the random sample is defined by MR congruent 1/2(Y_1 + Y_N) (Hogg and Craig 1995, p. 152).

maximum | mean | minimum | order statistic | statistical median