The document presented here, called "Análisis Multidimensional de Datos" in Spanish ("Multidimensional Data Analysis") is geared toward engineering students in Mexico, Latin America, and Spain. It shows all the theory of data analysis, starting with a biographical sketch of its historical development and how data are organized. It deals with the theory of factorial analysis and scalograms, beginning with establishing information management. A large variety of applications with actual data are presented throughout the text, and a set of programs is furnished that can be implemented easily in a personal computer. The related software is listed at the end.