pdf, 371.58 KB
pdf, 371.58 KB

This IB Math AI HL 4.15 – Central Limit Theorem resource develops students’ understanding of how sampling distributions behave and why Normal models appear so widely in statistics. Students explore linear combinations of Normal random variables, independence, and the Central Limit Theorem (CLT), building a clear link between population parameters and the behaviour of sample means. The material connects theory to practical probability calculations involving mixtures, sums, and averages of random variables.

Structured tasks guide learners through finding the mean and variance of linear combinations, modelling totals such as mixtures, and using the CLT to approximate probabilities when the parent distribution is not Normal. Practice and extended problems develop higher-level reasoning about sampling distributions, two-sample differences, and choosing appropriate Normal approximations. With applied contexts and a full answer key, this resource supports HL teaching, IA preparation, and deeper understanding of statistical inference in line with IB Mathematics AI expectations.

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IB Math AI Unit 4 Worksheet Bundle - All Sections Included!

This **IB Mathematics AI Unit 4 – Statistics Bundle** provides a complete set of structured worksheets covering the full statistics strand of the IB Math Applications & Interpretation course. The materials guide students from foundational statistical concepts through interpretation, analysis, and critical evaluation of data, building both procedural fluency and conceptual understanding required for IB assessments. Across the bundle, students work with data collection methods, sampling techniques, measures of central tendency and spread, representation of data, correlation and regression, probability distributions, and hypothesis testing. Tasks are sequenced to move from skill-building exercises to exam-style and extended-response problems, helping learners connect statistical calculations to interpretation in real-world contexts. Emphasis is placed on understanding assumptions, identifying bias and limitations, and interpreting results in context, all key expectations of the AI course. Each worksheet follows a consistent layout and structure to support classroom use, homework, revision, and independent study. Clear scaffolding, varied question styles, and challenge problems develop higher-order reasoning alongside core techniques. A full answer key is included for every worksheet, making this bundle ideal for teachers delivering the Unit 4 statistics syllabus or students preparing for internal and external IB assessments.

£40.00

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