Statistics I: Data & Probability
Descriptive statistics, probability basics, and visualizing data for STEM and CS students.
What you’ll learn
- Turn messy real-world data into clean, analysable tables
- Summarise distributions with the right statistics and visuals
- Use the normal model, sampling distributions and the CLT
- Build confidence intervals and hypothesis tests you can actually interpret
- Explain results in plain language for non-technical readers
Curriculum
M1
Data, variables & sampling — 2 lessons
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Types of data, variables & scalesLesson outline – video coming soon.14m
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Populations, samples & study designsLesson outline – video coming soon.14m
M2
Visualizing distributions — 2 lessons
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Histograms, bar charts & density plotsLesson outline – video coming soon.14m
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Describing shape, center & spreadLesson outline – video coming soon.14m
M3
Summaries & data cleaning — 3 lessons
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Mean, median, quartiles & boxplotsLesson outline – video coming soon.14m
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Variance, standard deviation & z-scoresLesson outline – video coming soon.16m
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Spotting outliers & messy dataLesson outline – video coming soon.14m
M4
Probability foundations — 3 lessons
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Events, sample spaces & probability rulesLesson outline – video coming soon.16m
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Conditional probability & independenceLesson outline – video coming soon.16m
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Discrete distributions (binomial & friends)Lesson outline – video coming soon.16m
M5
Normal model & sampling distributions — 2 lessons
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Normal distribution & z-tablesLesson outline – video coming soon.14m
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Sampling distributions & the CLTLesson outline – video coming soon.16m
M6
Estimation & confidence intervals — 2 lessons
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Point estimates & standard errorLesson outline – video coming soon.14m
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Intro to confidence intervalsLesson outline – video coming soon.16m
M7
Hypothesis testing basics — 2 lessons
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Logic of hypothesis testingLesson outline – video coming soon.14m
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One-sample tests (z/t) in practiceLesson outline – video coming soon.16m
M8
Comparisons & relationships — 2 lessons
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Comparing two groups (visual & numeric)Lesson outline – video coming soon.16m
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Counts & risk: two-way tablesLesson outline – video coming soon.14m
M9
Correlation & simple regression — 2 lessons
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Correlation & least-squares lineLesson outline – video coming soon.16m
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Residual plots & cautionsLesson outline – video coming soon.14m
M10
Review & exam-style practice — 2 lessons
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Putting it all together: study walkthroughLesson outline – video coming soon.18m
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Exam-style mixed practiceLesson outline – video coming soon.18m
Projects
- Analyse a small, real dataset (from your studies or a provided one) end-to-end
- Write a short report comparing analytic results and visual intuition
- Create a reusable formula sheet and workflow checklist for exams or work
Prerequisites
- Prior exposure to high-school algebra and functions
- Comfort working with fractions, percentages and simple equations
- Willingness to pause and re-watch explanations until they click
Who is this for?
- Students in a first statistics course who want a clearer second explanation
- STEM majors and analysts who need statistical thinking for projects or labs
- Self-taught learners preparing for data science and machine learning
Outcomes
- Able to decide which summary, graph or test is appropriate for a question
- More confident reading and critiquing statistical claims
- A reusable set of notes, examples and checklists you can bring into revision
Resources
- Starter project / template (ZIP)
- Setup & study checklists (PDF)
- Core formulas / syntax cheatsheet (PDF)
Tip: Right-click → “Save link as…” if your browser opens the file.
FAQ
Is this beginner-friendly?
Yes. We start from mental models and build up with guided practice and plenty of worked examples.
Will I need extra software?
We stick to free or standard tools. Any optional extras are clearly marked and have alternatives.
Do I get updates?
Yes—lifetime access with updates as the field, tools, and exam expectations evolve.