Statistics curriculum

A statistics course from data collection and visualization through probability, inference, regression, and responsible communication.

Find tutors Get tutor support

High school statistics / AP Statistics / intro college

Statistics curriculum

A statistics course from data collection and visualization through probability, inference, regression, and responsible communication.

Pacing

8 units, 24-32 weeks self-paced

Units

8 unit sequence

Practice

16 checked answers

Support

Self-paced or tutor-guided

Outcomes

Design fair data collection plans and recognize bias.
Use probability models to reason about uncertainty.
Interpret confidence intervals, tests, and regressions without cargo-culting formulas.

Khan Academy companion path

Use these linked courses for video instruction and mastery practice, then return here for PeerTutor original checks and tutor help on the exact unit that got stuck.

AP/College Statistics

External video content is linked, not copied. PeerTutor practice is original and cites each source path separately.

Unit sequence

Built for independent progress first, then tutor support where the student gets stuck.

01
Data, variables, and study design
- Distinguish observational studies, experiments, and surveys.
- Identify bias, confounding, and sampling problems.
Practice: Critique a poll and redesign its sampling plan.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Statistics unit "Data, variables, and study design"?
Use histograms, boxplots, center, spread, and outliers.Choose summaries that match distribution shape.Distinguish observational studies, experiments, and surveys.Identify bias, confounding, and sampling problems.
Practice artifact
Which practice artifact should you produce for "Data, variables, and study design" before asking a tutor for help?
Critique a poll and redesign its sampling plan.Skip the unit and start a new subject.Memorize vocabulary without checking any examples.Watch videos without writing or solving anything.
02
One-variable data
- Use histograms, boxplots, center, spread, and outliers.
- Choose summaries that match distribution shape.
Practice: Write a complete data description from a real dataset.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Statistics unit "One-variable data"?
Use histograms, boxplots, center, spread, and outliers.Distinguish observational studies, experiments, and surveys.Identify bias, confounding, and sampling problems.Choose summaries that match distribution shape.
Practice artifact
Which practice artifact should you produce for "One-variable data" before asking a tutor for help?
Memorize vocabulary without checking any examples.Watch videos without writing or solving anything.Write a complete data description from a real dataset.Skip the unit and start a new subject.
03
Two-variable data
- Analyze scatterplots, correlation, and linear regression.
- Interpret residuals and model limitations.
Practice: Fit and critique a regression model using residual evidence.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Statistics unit "Two-variable data"?
Analyze scatterplots, correlation, and linear regression.Identify bias, confounding, and sampling problems.Use histograms, boxplots, center, spread, and outliers.Distinguish observational studies, experiments, and surveys.
Practice artifact
Which practice artifact should you produce for "Two-variable data" before asking a tutor for help?
Fit and critique a regression model using residual evidence.Watch videos without writing or solving anything.Memorize vocabulary without checking any examples.Skip the unit and start a new subject.
04
Probability foundations
- Use counting, conditional probability, and independence.
- Model random processes with rules and simulations.
Practice: Simulate a probability question and compare it to exact reasoning.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Statistics unit "Probability foundations"?
Distinguish observational studies, experiments, and surveys.Identify bias, confounding, and sampling problems.Use histograms, boxplots, center, spread, and outliers.Model random processes with rules and simulations.
Practice artifact
Which practice artifact should you produce for "Probability foundations" before asking a tutor for help?
Watch videos without writing or solving anything.Memorize vocabulary without checking any examples.Simulate a probability question and compare it to exact reasoning.Skip the unit and start a new subject.
05
Random variables and distributions
- Use expected value and standard deviation.
- Apply binomial, geometric, and normal models.
Practice: Choose the right distribution for mixed word problems and defend it.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Statistics unit "Random variables and distributions"?
Use histograms, boxplots, center, spread, and outliers.Use expected value and standard deviation.Distinguish observational studies, experiments, and surveys.Identify bias, confounding, and sampling problems.
Practice artifact
Which practice artifact should you produce for "Random variables and distributions" before asking a tutor for help?
Memorize vocabulary without checking any examples.Skip the unit and start a new subject.Choose the right distribution for mixed word problems and defend it.Watch videos without writing or solving anything.
06
Sampling distributions
- Explain variability across samples.
- Use the central limit theorem appropriately.
Practice: Run a sampling simulation and explain what changes with sample size.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Statistics unit "Sampling distributions"?
Use histograms, boxplots, center, spread, and outliers.Identify bias, confounding, and sampling problems.Use the central limit theorem appropriately.Distinguish observational studies, experiments, and surveys.
Practice artifact
Which practice artifact should you produce for "Sampling distributions" before asking a tutor for help?
Run a sampling simulation and explain what changes with sample size.Skip the unit and start a new subject.Watch videos without writing or solving anything.Memorize vocabulary without checking any examples.
07
Inference
- Build and interpret confidence intervals.
- Run significance tests with conditions and conclusions.
Practice: Write a full inference response with parameter, conditions, calculation, and context.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Statistics unit "Inference"?
Build and interpret confidence intervals.Identify bias, confounding, and sampling problems.Use histograms, boxplots, center, spread, and outliers.Distinguish observational studies, experiments, and surveys.
Practice artifact
Which practice artifact should you produce for "Inference" before asking a tutor for help?
Write a full inference response with parameter, conditions, calculation, and context.Skip the unit and start a new subject.Watch videos without writing or solving anything.Memorize vocabulary without checking any examples.
08
Projects and communication
- Build reproducible analyses.
- Communicate uncertainty honestly.
Practice: Complete a mini statistical investigation from question to final memo.
Original practice checks
Answer in PeerTutor, then use the explanation or bring the miss to a tutor.
2 checked answers
Unit readiness
Which target best matches the Statistics unit "Projects and communication"?
Identify bias, confounding, and sampling problems.Distinguish observational studies, experiments, and surveys.Use histograms, boxplots, center, spread, and outliers.Communicate uncertainty honestly.
Practice artifact
Which practice artifact should you produce for "Projects and communication" before asking a tutor for help?
Watch videos without writing or solving anything.Skip the unit and start a new subject.Memorize vocabulary without checking any examples.Complete a mini statistical investigation from question to final memo.