IB Maths AA Topic 4 Notes

This page contains our IB Maths AA notes for topic 4. By reading each one of these notes, you will fully cover the content for IB Maths AA 'Stats & Probability'.

All Topic 4 Sub-topics 4.1: Fundamentals Of Statistics 4.2: Visualising Statistics 4.3: Distribution Properties 4.4: Linear Statistics 4.5: Probability 4.6: Probability Distributions (HL)4.7: Bayes theorem (HL)4.8: Advanced distribution properties

Checking your access to read these notes...

Chapters

4.1: Fundamentals of statistics

1. Population & samples

2. Types of data

3. Reliability, bias, and sampling

4. Frequency distributions

5. Measures of central tendency

6. Quartiles, spread & outliers

4.2: Visualising statistics

1. Histograms

2. Cumulative frequency tables & graphs

3. Box-and-whisker plots

4.3: Distribution properties

1. Quartiles

2. Interquartile range (IQR)

3. Variance & standard deviation

4. Addition, subtraction, and multiplication of constants

5. Outliers

4.4: Linear statistics

1. Scatter diagrams & correlation

2. Pearson's correlation coefficient

3. Regression lines & prediction

4.5: Probability

1. Probability

2. Relative frequency, complements & expected number E(X)

3. Probability diagrams

4. Conditional probability

4.6: Probability distributions

1. Discrete random variables

2. Expected value E(X)

3. Binomial distribution

4. Normal distribution & standardization

4.7: Bayes theorem (HL)

1. Bayes' theorem

2. Tree diagrams

3. Up to three events

4.8: Advanced distribution properties (HL)

1. Variance of a discrete random variable

2. Continuous random variables

3. Distribution features of continuous random variables

4. Linear transformations

5. Piecewise density functions

Loading progress...

Population & 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.

tibertutor.com

Next Up

You have completed the topic 4 notes for IB Maths AA - continue with related resources below or explore the full IB Maths AA course from the IBO.

Explored IB Maths AA Notes?

Get stuck into one of our other subjects!

Other subjects' Notes

Biology

Chemistry

Physics

Maths AI

Join 85,000 students, across 130+ countries, in 500+ IB schools. That's half of the IB science graduates worldwide.

Start a 7d free trial