Introductory statistics
Undergraduate · Statistics
Syllabus focus
Standard syllabus · STEM / applied
Pricing calculator
Choose materials, tutoring, or both — or book a single session as needed. Customize your plan on the subscribe page.
Billed in 15-minute increments (15-minute minimum, up to 4 hours). No subscription required.
$60.00 · 60 min · Undergraduate · Online ($60/hr)
Book through intake or schedule a session.
Topics typically covered
Standard syllabus
Data and descriptive statistics
- Data types, variables, and levels of measurement
- Sampling methods and study design basics
- Frequency tables, histograms, and boxplots
- Measures of center: mean, median, and mode
- Measures of spread: variance, standard deviation, and IQR
- Correlation and scatterplots
Probability and sampling distributions
- Probability rules and conditional probability
- Random variables and expected value
- Binomial and normal distributions
- Sampling distributions and the central limit theorem
- Standard error and the t-distribution
Inference for means and proportions
- Confidence intervals for one and two means
- Confidence intervals for proportions
- Hypothesis tests for means: z and t tests
- Hypothesis tests for proportions
- Paired and two-sample comparisons
- Type I and Type II errors; power (introduction)
STEM / applied
Software and data workflow
- Importing and cleaning data in R, SPSS, or Excel
- Reproducible analysis with scripts and documentation
- Graphical exploration of multivariate data
- Simulation to illustrate sampling distributions
Applied inference and reporting
- Interpreting confidence intervals in applied contexts
- Reporting test results for stakeholders
- Checking assumptions with residual and QQ plots
- Mini-projects with real datasets from science or business
- Ethics of data collection and misleading graphics
- Communicating uncertainty in technical writing
Notes
Topics reflect common introductory statistics syllabi at US colleges and universities. Applied sections emphasize R, SPSS, or Excel; theoretical sections add derivations and probability foundations.