7  Statistics

Statistics is a branch of mathematics that deals with the collection, organization, analysis, interpretation, and presentation of numerical data. It serves as a scientific discipline to transform raw data into meaningful information, enabling informed decision-making in fields ranging from business and medicine to social sciences and engineering.

7.1 Key Aspects of Statistics:

• Data Collection: Gathering relevant information through surveys, experiments, or observations.
• Data Organization: Structuring data systematically for easier analysis (e.g., using tables, graphs).
• Analysis and Interpretation: Using mathematical tools to identify patterns, trends, and relationships in data.
• Presentation: Communicating findings clearly through charts, summaries, or reports.

7.2 Two Main Branches:

• Descriptive Statistics: Summarizes and describes features of a dataset (e.g., mean, median, mode, standard deviation).
  
• Inferential Statistics: Makes predictions or inferences about a larger population based on a sample (e.g., hypothesis testing, confidence intervals).

7.3 Core Characteristics:

• Data must be numerically expressed.
• It involves aggregates of facts collected systematically.
• Data should be comparable and gathered for a specific purpose.

Statistics helps reduce uncertainty, supports evidence-based decisions, and plays a vital role in understanding complex real-world phenomena.

source: notebooks/statistics.clj