Statistics Textbook 35.3

Statistics encompasses the collection, organization, analysis, interpretation, and presentation of data. This field addresses all facets of data management, including the design of surveys and experiments essential for effective data collection. While some view statistics as a mathematical discipline focused on these processes, others regard it as a distinct mathematical science with empirical foundations. Due to its emphasis on applications, statistics is often seen as separate from pure mathematics.

A statistician is an expert skilled in the methodologies necessary for effective statistical analysis. These professionals often gain experience across diverse sectors, enhancing data quality through meticulously designed experimental frameworks and survey samples. The tools provided by statistical methods enable robust predictions and forecasts based on data and statistical modeling. The applicability of statistics spans various academic fields, including natural and social sciences, government, and business. Organizations lacking in-house statistical expertise may benefit from consultation with statistical professionals.

Table of Contents:

1. Introduction to Statistics and Statistical Thinking
2. Statistics in Practice
3. Visualizing Data
4. Frequency Distributions
5. Describing, Exploring, and Comparing Data
6. Measures of Variation
7. Sampling
8. Probability
9. Probability and Variability
10. Continuous Random Variables
11. Correlation and Regression
12. Estimation and Hypothesis Testing
13. Other Hypothesis Tests
14. A Closer Look at Tests of Significance

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