Introductory statistics
Undergraduate · Math
Syllabus focus
Topics typically covered
Click a topic for the full text and related unit practice.
Undergraduate Introductory statistics — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable).
Data and descriptive statistics
- Data types and variables — Data types and variables
- Levels of measurement — Levels of measurement
- Sampling methods — Sampling methods
- Study design basics — Study design basics
- Frequency tables and histograms — Frequency tables and histograms
- Boxplots — Boxplots
- Measures of center: mean, median, and mode — Measures of center: mean, median, and mode
- Measures of spread: variance, standard deviation, and IQR — Measures of spread: variance, standard deviation, and IQR
- Correlation and scatterplots — Correlation and scatterplots
Probability and sampling distributions
- Probability rules — Probability rules
- Conditional probability — Conditional probability
- Random variables and expected value — Random variables and expected value
- Binomial and normal distributions — Binomial and normal distributions
- Sampling distributions — Sampling distributions
- The central limit theorem — The central limit theorem
- Standard error — Standard error
- The t-distribution — The t-distribution
Inference for means and proportions
- Confidence intervals for one — Confidence intervals for one
- Two means — Two means
- Confidence intervals for proportions — Confidence intervals for proportions
- Hypothesis tests for means: z — Hypothesis tests for means: z
- T tests — T tests
- Hypothesis tests for proportions — Hypothesis tests for proportions
- Paired and two-sample comparisons — Paired and two-sample comparisons
- Type I and Type II errors; power (introduction) — Type I and Type II errors; power (introduction)
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Data and descriptive statistics
Data types and variables
Coming soon - Probability and sampling distributions
Probability rules
Coming soon - Inference for means and proportions
Confidence intervals for one
Coming soon
Notes
Undergraduate Introductory statistics — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable). Topic outline: `content/topics/undergraduate/intro_stats.json`.