Chapter 1 · Introduction to Data and Statistics

Section 1.1What is Statistics?

Statistics helps you move beyond individual observations and discover meaningful patterns in data. Rather than describing a single person or event, statistics allows you to understand larger groups and make informed decisions based on evidence.

Summary

StatisticsThe process of collecting, analyzing, and interpreting data to help you better understand the world.

DataThe collected information that tells you about a particular subject.

CaseAn individual person or object being studied.

SampleA subset of cases chosen for analysis.

PopulationThe entire group that you seek to understand.

By collecting and analyzing data, you can make informed decisions and gain deeper insights into various topics.

The Real World Statistics Learning Progression

Each section follows the same learning progression: understand the concept, practice the skill, think like a statistician, then apply your learning to authentic data.

Learn This Section

Whether learning independently or teaching a class, the learning path below is designed to help students master the concepts in this section. Page references correspond to the Real World Statistics instructional system.

Read the sectionRead pages 9–10 to reinforce the concepts introduced in the lesson.

Practice what you've learnedComplete the 5 practice questions on page 11. Check your work using the Answer Key, then review and correct any questions you missed before moving on.

Think like a statisticianExplore Enrichment: Role-Based Statistical Analysis Tasks and the Chapter Dataset to apply statistical thinking in real-world contexts.

Need Extra Support? If students need additional guidance while working through the practice questions, they can explore the Worked Solutions Manual for step-by-step solutions and explanations.

From Learners to Statisticians

Examples of authentic statistical work supported by this section include:

Writing a formal introductory paragraph for a statistical report based on a small real-world dataset, including clear identification of sample, population, and cases.
Describing what a dataset represents in context and how it could inform real decision-making for an organization.
Producing a concise statistical "data introduction" that translates raw tabular information into a professional narrative.

You may use these ideas to design your own investigations or explore the Real World Statistics System.

Enrichment: Role-Based Statistical Analysis Tasks

Enrichment tasks place students in the role of a statistician working on real research problems, where they evaluate data, justify decisions, and communicate findings clearly. Each section includes multiple enrichment tasks, including one with a model response that demonstrates statistical reasoning in context, showing how evidence is evaluated, decisions are justified, and conclusions are communicated. This serves as a bridge to working with authentic datasets and independent statistical investigation within each chapter.

Available in the Interactive eBook at the end of the section (page 11) and in the Appendix of the Print Book (page 401).

Teaching with Real World Statistics?

These structured learning paths — including Enrichment tasks and Chapter Datasets — can be adapted or copied directly into Canvas, Google Classroom, Schoology, and other learning management systems to simplify lesson planning and student assignments.

Part of the Real World Statistics instructional system — bringing together print, interactive learning, videos, datasets, enrichment, worked solutions, and teacher resources.