Design of balanced MBA student teams

In some schools and universities, students from the same grade must sometimes be divided into several teams within a classroom in such a way that each team provides a good representation of the classroom population. Therefore a first problem to solve is to choose student attributes (criteria) to include into the process of designing the teams and to determine their relative importance for the school administration. For example, possible balancing criteria are: (i) closeness of the ratio of women to men between a team and the classroom population; (ii) closeness of the average age or of the past school grades; (iii) similarity of the ratio of the countries of origin, or of the qualifications, etc.