This monograph falls within the field of statistical education and its main purpose is to show the classroom project called "Teaching the notion of statistical symmetry, in frequency distributions for eleventh grade students" and its components such as theory and methodology used to design, manage and validate the project. Here is collected the research work carried out in 2011, at the Robert F. Kennedy School with the course 1101 Day Afternoon, whose object of study was the teaching of the notion of statistical symmetry including the preliminary notions up to the identification of the form of frequency distributions, among other pedagogical inferences related to the use of statistical and natural language. The research methodology was of a mixed type since it considered qualitative and quantitative analysis techniques based on the reconstruction of the learning environment in the ethnographic perspective; On the other hand, among the aspects to be highlighted, reflections are made on the teacher's trajectory, the student's knowledge attained and the relationship between these and knowledge; concluding with the validation of the proposal.