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Statistics & Probability Syllabus

A universal study path covering probability theory, distributions, statistical inference, and reasoning for data analysis and research. The full Statistics & Probability syllabus: 8 subjects, 40 chapters and 158 topics, with 403 flashcards written against it.

8Subjects

40Chapters

158Topics

403Flashcards

Statistics & Probability subjects

Statistics & Probability has 8 subjects. Each one is listed below with its chapters in syllabus order; open a subject for every topic and sub-topic inside them.

Descriptive Statistics & Data Exploration

6 chapters · 25 topics · 51 flashcards

Types of Data and Measurement · 4 topics
Measures of Central Tendency · 4 topics
Measures of Dispersion · 4 topics
Shape and Position · 4 topics
Data Visualization · 5 topics
Exploratory Data Analysis · 4 topics

Probability Theory

6 chapters · 24 topics · 50 flashcards

Foundations of Probability · 4 topics
Rules of Probability · 4 topics
Conditional Probability · 4 topics
Bayes' Theorem · 4 topics
Random Variables · 4 topics
Joint Distributions · 4 topics

Probability Distributions

5 chapters · 21 topics · 50 flashcards

Discrete Distributions · 5 topics
Continuous Distributions · 4 topics
The Normal Distribution · 4 topics
Sampling Distributions · 4 topics
Distributions for Inference · 4 topics

Statistical Inference

7 chapters · 27 topics · 50 flashcards

Point and Interval Estimation · 4 topics
Hypothesis Testing Fundamentals · 5 topics
Tests for Means · 3 topics
Tests for Proportions and Variance · 4 topics
Analysis of Variance (ANOVA) · 4 topics
Nonparametric Methods · 4 topics
Resampling Methods · 3 topics

Regression & Correlation

5 chapters · 19 topics · 50 flashcards

Correlation Analysis · 4 topics
Simple Linear Regression · 4 topics
Multiple Linear Regression · 4 topics
Regression Diagnostics · 4 topics
Generalized Linear Models · 3 topics

Study Design & Sampling

4 chapters · 15 topics · 50 flashcards

Sampling Methods · 4 topics
Experimental Design · 4 topics
Observational Studies · 3 topics
Sources of Bias and Error · 4 topics

Bayesian Statistics

3 chapters · 10 topics · 50 flashcards

Bayesian Foundations · 4 topics
Bayesian Inference · 3 topics
Computational Bayesian Methods · 3 topics

Statistical Reasoning & Communication

4 chapters · 17 topics · 52 flashcards

Interpreting Statistical Results · 4 topics
Common Pitfalls and Fallacies · 5 topics
Causal Inference · 4 topics
Communicating Statistics · 4 topics

Statistics & Probability flashcards

403 question-and-answer cards across 8 subject decks, each shown in full on its subject page.

Statistics & Probability syllabus FAQ

What subjects are in the Statistics & Probability syllabus?

Statistics & Probability covers 8 subjects: Descriptive Statistics & Data Exploration, Probability Theory, Probability Distributions, Statistical Inference, Regression & Correlation, Study Design & Sampling, Bayesian Statistics and Statistical Reasoning & Communication.

How many chapters and topics are in the Statistics & Probability syllabus?

40 chapters and 158 topics, across 8 subjects. Statistical Inference is the largest subject, with 27 topics in 7 chapters.

Are there Statistics & Probability flashcards?

Yes — 403 question-and-answer flashcards in 8 subject decks. Each deck is printed in full on its subject page here, and the same cards are in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.

Mathematics syllabus

Mathematics · full syllabus breakdown

7 subjects · 63 chapters · 351 flashcards Calculus syllabus