IB Math AI Worksheet SL 4.1 - Basic Statistics Concepts

This IB Math AI SL 4.1 – Basic Statistics Concepts resource introduces students to the foundational ideas that underpin statistical reasoning, focusing on how data is defined, classified, and collected before any calculations begin. The lesson builds conceptual clarity around populations and samples, emphasizing why sampling methods matter and how poor sampling can lead to biased or unreliable conclusions.

Students develop a clear understanding of discrete versus continuous data, the role of outliers, and the importance of data quality checks before removing unusual values. Sampling techniques — including simple random, systematic, stratified, quota, and convenience sampling — are explored through realistic scenarios that require students to justify their choices rather than simply name a method.

Structured questions, classification tasks, and quick calculation exercises reinforce how sampling decisions connect to proportional reasoning and representation of groups. With clear prompts and an included answer key, this resource supports SL-level classroom instruction and independent study, helping students build strong conceptual foundations for statistical investigations in line with IB Mathematics AI expectations.