Statistics and probability
Statistics and probability are branches of mathematics that deal with data analysis and uncertainty. Statistics involves collecting, organizing, analyzing, and interpreting numerical information from various sources. It employs methods such as mean, median, variance, and standard deviation to summarize data, enabling insights into trends and patterns. Probability, on the other hand, is the study of randomness and the likelihood of events occurring, defined on a scale from 0 to 1. Together, these fields help quantify uncertainty and inform decision-making in diverse areas, including finance, healthcare, social sciences, and natural sciences, facilitating informed predictions and strategic planning.
Displaying and comparing quantitative data
Summarizing quantitative data
Modeling data distributions
Exploring bivariate numerical data
Study design
Probability
Counting, permutations, and combinations
Random variables
Sampling distributions
Confidence intervals
Significance tests (hypothesis testing)
Two-sample inference for the difference between groups
Inference for categorical data (chi-square tests)
Advanced regression (inference and transforming)
Analysis of variance (ANOVA)