We consider a model of individual preferences in which the preference of each
individual is characterized by a stochastic vector (stochastic model of preferences). Using
a sociological survey or analysis of user actions in an online social network, it is possible to
obtain the probability distribution of individual preferences. The problem of finding the median
preference—a vector that minimizes the expected distance to the preferences of individuals—is
posed and solved. It is shown that knowing partial (marginal) distributions is sufficient
to find the median preference. Illustrative examples of finding median preferences for the
three-dimensional case are provided.