Variables and observations. Frequency distributions and classified frequency distributions. Bar chart, pie chart, histogram. Measures of location: mode, median, arithmetic mean. Measures of variation: quartiles, variance, coefficient of variation.
Pairs of variables: joint frequency distributions, marginal frequency distribution, conditional frequency distribution. Measure of dependency: chi-squared, eta-squared. Covariance and correlation. Linear regression.
Probability: events, rules for events, probability space. Conditional probabilities. Independent events.
Discrete and continuous random variables. Expectation and variance. Bivariate random variables. Independent random variables.
Statistical inference: estimators and their properties. Maximum likelihood estimators. Confidence intervals. Parametric hypothesis testing. Chi-square tests for independence and homogeneity.