It was precisely that kind of average, derived from a normal distribution, that interested Quetelet, and he called it simply 'an average', as opposed to averages with non-normal distribution, which he termed 'arithmetical averages'.
Justamente será ese tipo de media, que se deriva de una distribución normal, la que le va a interesar a Quetelet, a la que denominará simplemente media, por oposición a las medias de distribución no normales, a las que llamará aritméticas.