IB Maths AI 4.1 Notes

This page contains our IB Maths AI notes for 4.1. By reading each one of these notes, you will fully cover the content for IB Maths AI 'Fundamentals of statistics'.

All Topic 4 Sub-topics 4.1: Fundamentals Of Statistics 4.2: Visualising Statistics 4.3: Distribution Properties 4.4: Introduction To Linear Statistics 4.5: Probability 4.6: Probability Distributions 4.7: Hypotheses & Tests (HL)4.8: Data collection & categorisation (HL)4.9: Advanced linear statistics (HL)4.10: Linear transformations & combinations (HL)4.11: Confidence intervals (HL)4.12: Poisson distribution (HL)4.13: Distribution tests (HL)4.14: Transition matrices

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Chapters

1. Populations & samples

2. Types of data

3. Reliability, bias & sampling

4. Frequency distributions

5. Measures of central tendency

6. Quartiles, spread & outliers

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Populations & samples

Statistics is about collecting, organising, analysing and interpreting data. In this section, the focus is on types of data, populations and samples, sampling methods, reliability and bias, outliers, frequency distributions, and basic measures of central tendency and spread.

A population is the full group we want to study.
A sample is a smaller group chosen from that population.
A random sample is a sample chosen so that each member of the population has an equal chance of being selected.

If a school wants to study students' study habits, the population might be all students in the school, while a sample might be $50$ students selected from that population.

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