szórásainak

Szórásainak is a Hungarian word-form used in mathematics and statistics to denote dispersion characteristics belonging to something in a plural possessor. It is composed from the noun szórás, meaning dispersion or spread, together with the third-person plural possessive suffix. The phrase roughly translates to “of their dispersions” or “its dispersions,” depending on the antecedent.

In Hungarian, szórás can refer to general dispersion as a property of a data set or to statistical measures of spread, such as the standard deviation. The form szórásainak appears in sentences where dispersion characteristics are attributed to multiple items, groups, or datasets. For example, one might say: A két csoport szórásainak összehasonlítása fontos a variabilitás értelmezéséhez, meaning that comparing the dispersions of the two groups is important for understanding variability. Another example: Az egyes populációk szórásainak becslése célja a populációk közötti különbségek meghatározása.

Grammatically, szórásainak is the plural possessive construction, indicating that the dispersions belong to a plural subject. The corresponding singular possessive form would be szórásának (its dispersion). The noun szórás itself is uncountable in many statistical contexts, but a plural form szórások is used when referring to multiple dispersion measures or multiple data sets’ dispersions.

See also szórás, which is the base term for dispersion in Hungarian, and a range of statistical concepts related to variability, such as standard deviation and variance. Szórásainak appears most often in formal or technical prose discussing comparative dispersion across groups or datasets.