Statistics and Data Analysis: Free Online Course & Practice

Data displays, statistical summaries, association, sampling, probability, normal models, inference, p-values, and AP / college-style conclusions.

Algebra I-complete learners, AP prep, and adult refreshers5 units42 lessons + 7 assessments2102 practice & quiz itemsFree

Item counts include repeats and variants. There are 1320 distinct prompt texts after removing variant labels; this is not a count of unique mathematical skills.

Starting point and intended outcomes

Suggested preparation: Algebra I equations, fractions, and interpreting graphs.

Learning goals: Interpret data, reason about study design and probability, and carry out introductory inference with conditions and contextual conclusions.

These describe the course's intended scope. A score on one screen or final is only one piece of evidence about these goals.

Course outline

Data Foundations

• Variables, Cases, and Data Types
• Frequency Tables and Bar Charts
• Dot Plots, Histograms, and Distribution Shape
• Shape, Center, Spread, and Outliers
• Mean, Median, Mode, and Range
• Quartiles, IQR, and Box Plots
• Standard Deviation
• Comparing Distributions
• Data Foundations Checkpoint

Two-Variable Data

• Two-Way Frequency Tables
• Conditional Relative Frequency
• Scatter Plots and Association
• Correlation and Causation
• Least-Squares Lines
• Residuals and Model Fit
• Prediction, Interpolation, and Extrapolation
• Two-Variable Data Checkpoint

Collecting Data

• Populations, Samples, Parameters, and Statistics
• Random Sampling and Bias
• Surveys and Observational Studies
• Experiments and Random Assignment
• Control, Placebo, and Blinding
• Scope of Inference
• Simulation Basics
• Collecting Data Checkpoint
• Statistics Midterm Exam

Probability and Distributions

• Probability Models
• Complements, Unions, and Intersections
• Conditional Probability
• Independence
• Tree Diagrams and Multi-Step Probability
• Expected Value
• The Binomial Setting
• Binomial Probabilities
• Normal Distributions and Z-Scores
• Probability and Distributions Checkpoint

Inference and Conclusions

• Sampling Variability
• Sampling Distributions and Standard Error
• Confidence Intervals for Proportions
• Confidence Intervals for Means
• Hypothesis Test Logic
• Hypothesis Tests for Proportions
• Hypothesis Tests for Means
• Chi-Square Tests and Two-Way Tables
• P-Values and Statistical Significance
• Type I Error, Type II Error, and Power
• AP and College-Style Statistical Conclusions
• Inference and Conclusions Checkpoint
• Statistics Final Exam

Frequently asked questions

Is the Statistics and Data Analysis course free?

Yes. The entire Statistics and Data Analysis course — 49 lessons, 2102 practice and quiz items, including repeats and variants, worked solutions, and the placement check — is free to use at ClearMath Academy.

What does the Statistics and Data Analysis course cover?

Data displays, statistical summaries, association, sampling, probability, normal models, inference, p-values, and AP / college-style conclusions. It spans 5 units and 49 lessons, each with a worked example and practice problems with step-by-step solutions.

Who is Statistics and Data Analysis for?

Statistics and Data Analysis is aimed at algebra i-complete learners, ap prep, and adult refreshers. You can take a free 15-minute placement check first to choose lessons to try first.

How do I find my gaps in Statistics and Data Analysis?

Take the free Statistics and Data Analysis placement check. It samples selected skills and suggests a practice plan. Skipped or untested topics remain unassessed; this is not a validated readiness certification.