Stochastic number of concrete families and the likelihood of such a value

: Modern construction standards, both from the ACI, EN, ISO, as well as EC group, introduced numerous statistical procedures for the interpretation of concrete compressive strength results obtained on an ongoing basis (in the course of structure implementation), the values of which are subject to various impacts, e.g., arising from climatic conditions, manufacturing variability and component property variability, which are also described by specific random variables. Such an approach is a consequence of introducing the method of limit states in the calculations of building structures, which takes into account a set of various factors influencing structural safety. The term “concrete family” was also introduced, however, the principle of distributing the result or, even more so, the statistically significant size of results within a family was not specified. Deficiencies in the procedures were partially supplemented by the authors of the article, who published papers in the field of distributing results of strength test time series using the Pearson, 𝑡 -Student, and Mann–Whitney U tests. However, the publications of the authors define neither the size of obtained subset and their distribution nor the probability of their occurrence. This study fills this gap by showing the size of a statistically determined concrete family, with a defined distribution of the probability of its isolation.