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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 complete Statistics & Probability outline — 8 subjects, 40 chapters and 158 topics — laid out so you can see exactly what has to be covered and tick each item off as you go.

8Subjects

40Chapters

158Topics

0Sub-topics

403Flashcards

~120hEst. first pass

Statistics & Probability subjects

Each subject below has its own page with the full chapter → topic → sub-topic tree and a set of real exam-style flashcards.

Descriptive Statistics & Data Exploration

6 chapters · 25 topics

~20h first pass · 51 flashcards Probability Theory

6 chapters · 24 topics

~20h first pass · 50 flashcards Probability Distributions

5 chapters · 21 topics

~15h first pass · 50 flashcards Statistical Inference

7 chapters · 27 topics

~20h first pass · 50 flashcards Regression & Correlation

5 chapters · 19 topics

~15h first pass · 50 flashcards Study Design & Sampling

4 chapters · 15 topics

~10h first pass · 50 flashcards Bayesian Statistics

3 chapters · 10 topics

~8h first pass · 50 flashcards Statistical Reasoning & Communication

4 chapters · 17 topics

~15h first pass · 52 flashcards

Statistics & Probability flashcard decks

403 question-and-answer cards across 8 decks, written against this syllabus. Preview any deck free.

How to work through the Statistics & Probability syllabus

The outline on this page is arranged the way the syllabus itself is: subject, then chapter, then topic, then sub-topic. That last level is what most study plans skip, and it is where coverage actually goes wrong — a chapter marked "done" often has three sub-topics inside it that were never touched.

Weight your plan accordingly: Statistical Inference carries 27 topics while Bayesian Statistics carries 10. Giving both the same number of weeks is the most common planning mistake for Statistics & Probability.

The ~120 hour estimate above is a first pass only: roughly 45 minutes per topic plus 12 minutes per sub-topic. Revision cycles, past papers and mocks sit on top of that number.

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. Together they contain 40 chapters and 158 named topics.

How many topics does the Statistics & Probability syllabus contain?

The full Statistics & Probability outline breaks down into 40 chapters, 158 topics and 0 sub-topics. Statistical Inference is the largest single subject with 27 topics across 7 chapters.

How long does it take to cover the whole Statistics & Probability syllabus?

Roughly 120 hours for one full pass. That estimate allows about 45 minutes per topic plus 12 minutes per sub-topic, so it is first-pass coverage — revision, past papers and mock tests sit on top of it. At 3 hours a day that is about 6 weeks.

Are there Statistics & Probability flashcards?

Yes — 403 question-and-answer flashcards across 8 decks, one per subject, written against this syllabus. A sample of every deck is readable on this site for free, and the complete decks are in the Examius app.

Is this Statistics & Probability syllabus free to use?

Yes. Every page here is free to read, and importing the Statistics & Probability syllabus into the Examius app to tick off topics as you finish them is free too. No account is needed to start.

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