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This lecture covers the types of variables, including quantitative (discrete and continuous) and qualitative (nominal and ordinal), and introduces the multinomial distribution, which generalizes the binomial distribution to more than two categories. It also discusses the main characteristics of data, such as central tendency, dispersion, symmetry, and outliers. The lecture further explores the shapes of density functions and provides insights into measures of correlation, limitations of correlation analysis, and robustness in statistical methods. Additionally, it delves into histograms, quantiles, boxplots, and Q-Q plots for data visualization and comparison.