Statistics is the science of collecting, analyzing, interpreting, and presenting data to extract meaningful insights and inform decision-making. Rooted in probability theory and mathematical principles, it serves as the foundation for data science, scientific research, business intelligence, and evidence-based policy. The field divides into descriptive statistics (summarizing and visualizing data) and inferential statistics (drawing conclusions about populations from samples). A crucial mental model: uncertainty is inherent in data—statistics provides rigorous frameworks to quantify that uncertainty, assess the reliability of findings, and distinguish signal from noise.

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