This paper is a sequel to our article 'Lower fractiles of material strength from limited test data', Structural Safety, 7 (1) (1990) 67-75. This article provided an estimate of the lower fractile of material strength from limited data based upon the sample size and the smallest, middle and largest values of the test data. Unlike its predecessor, the method given in this paper makes use of the values of all the test data, and gives very stable results which are not affected significantly by even fairly large changes in individual test values. © 1990.