Order statistics are used to derive significance tests for the population median which are valid under very general conditions. These tests are approximately as powerful as the Student $t$-test for small samples from a normal population. Also the application of a test requires very little computation. Thus the tests derived compare very favorably with the $t$-test for small sets of observations. Applications of these order statistic tests to certain well known statistical problems are given in another paper .
"Some Significance Tests for the Median which are Valid Under Very General Conditions." Ann. Math. Statist. 20 (1) 64 - 81, March, 1949. https://doi.org/10.1214/aoms/1177730091