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Statistics and probability

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.
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Analyzing categorical data
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Displaying and comparing quantitative data
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Summarizing quantitative data
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Modeling data distributions
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Exploring bivariate numerical data
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Study design
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Probability
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Counting, permutations, and combinations
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Random variables
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Sampling distributions
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Confidence intervals
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Significance tests (hypothesis testing)
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Two-sample inference for the difference between groups
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Inference for categorical data (chi-square tests)
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Advanced regression (inference and transforming)
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Analysis of variance (ANOVA)