Foundations
Start here — the building blocks of statistical reasoning
Descriptive Statistics
Summarize and describe datasets using mean, median, mode, standard deviation, and more.
BeginnerVisualizing Data
Create and interpret charts, histograms, box plots, and scatter plots to explore data visually.
BeginnerStudy Design
Understand sampling methods, experimental design, and how to avoid bias in data collection.
BeginnerProbability
The mathematical foundation of statistical inference
Probability Rules
Addition rule, multiplication rule, conditional probability, and Bayes' theorem with examples.
BeginnerRandom Variables
Discrete and continuous random variables, expected value, variance, and probability distributions.
IntermediateNormal Distribution
The bell curve, Z-scores, the 68-95-99.7 rule, and standard normal distribution.
IntermediateBinomial Distribution
Model success/failure experiments with the binomial formula and calculate probabilities.
IntermediateSampling Distributions
The Central Limit Theorem, standard error, and distribution of sample statistics.
IntermediateInferential Statistics
Draw conclusions and test hypotheses from sample data
Confidence Intervals
Estimate population parameters with a range of plausible values and understand margin of error.
IntermediateHypothesis Testing
Null vs alternative hypotheses, p-values, significance levels, and error types.
IntermediateOne Sample t-test
Test whether a sample mean differs significantly from a known or hypothesized value.
IntermediateTwo Sample t-test
Compare means of two independent groups using Welch's t-test or pooled variance.
IntermediatePaired Samples t-test
Analyze before-and-after measurements or matched pairs with the paired t-test.
IntermediateProportion Tests
Test claims about proportions using one-sample and two-sample z-tests.
IntermediateZ-Scores
Standardize data values to understand how many standard deviations from the mean they fall.
BeginnerRegression & Relationships
Model relationships between variables and make predictions