  Let $X_1, \ldots, X_n$ be independent non-negative random variables with
cumulative distribution functions $F_1,F_2,\ldots,F_n$, each satisfying certain
(rather mild) conditions. We show that the median of $k$-th smallest order
statistic of the vector $(X_1, \ldots, X_n)$ is equivalent to the quantile of
order $(k-1/2)/n$ with respect to the averaged distribution
$F=\frac{1}{n}\sum_{i=1}^n F_i$.
