Resumen

DELGADO ALVAREZ, Raúl León. The central limit theorem: An illustrative view. Revista Varianza [online]. 2022, n.20, pp. 37-45. ISSN 9876-6789.

Abstract The Central Limit Theorem is of great importance, in the study of Statistics, for its understanding, in addition to the variety of practical problems, there is the certainty of its convergence. Objective: To understand the Central Limit Theorem, and its convergence. Method: Tables and graphs of the distribution of the average of independent random variables will be used, each with a Uniform distribution in the interval (0.1) and comparing it with the standard Normal distribution. Data: For this purpose, a partition of the interval between 0 and 1, in distances of one tenth, will be used. Results: The rapid convergence of the average of the variables mentioned with Uniform distribution towards a standard Normal distribution will be shown; For this comparison, two tables are considered that will show this affinity numerically and later (for when n increases its valué) the graph of the distribution of the average of variables will be exposed that will complete the panorama

Palabras llave : Convergence; Irwin Hall distribution; illustration; Central Limit Theorem.