IB Math AI HL · Unit 4 of 6

IB Math AI HL Unit 4: Statistics & Probability

Unit 4 of IB Mathematics: Applications and Interpretation covers Statistics & Probability. This unit contains 19 topics and 39 sub-topics. Below you'll find free study notes, flashcards, and exam preparation resources for every topic in this unit.

Higher Level students should treat this unit page as a route map: revise the shared core, then use the HL notes and topic links to reach the extra depth and evaluation expected at HL.

19 topics39 sub-topics

Exam technique guide

What Unit 4 covers

Data, correlation and regression, probability and distributions, random variables, tests and Markov chains.

Topics in Unit 4

4.1

Introduction to statistics

5 sub-topics

4.2

Presentation of data

3 sub-topics

4.3

Mean, median, and mode

5 sub-topics

4.4

Correlation of data

2 sub-topics

4.5

Trial and outcome

2 sub-topics

4.6

Venn diagrams

2 sub-topics

4.7

Discrete random variables

2 sub-topics

4.8

Binomial distribution

2 sub-topics

4.9

Normal distribution

2 sub-topics

4.10

Spearman rank correlation coefficient

1 sub-topics

4.11

Expected, observed, hypotheses, chi-squared, goodness of fit, and t-test

3 sub-topics

4.12

Data collection & validity (HL only)

1 sub-topics

4.13

Non-linear regression (HL only)

1 sub-topics

4.14

E(X), Var(X) & estimators (HL only)

2 sub-topics

4.15

Central limit theorem (HL only)

1 sub-topics

4.16

Confidence intervals (HL only)

1 sub-topics

4.17

Poisson distribution (HL only)

1 sub-topics

4.18

t & z tests, errors (HL only)

2 sub-topics

4.19

Markov chains (HL only)

1 sub-topics

Study tip: Work through the topics in order — each builds on concepts from the one before. Start with notes, then reinforce with flashcards and practice questions.

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