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Curriculum

Statistics Math

All Statistics skills, each with a clear explanation and code-verified practice. Aligned to Common Core.

EDA

Frequency Tables — Relative Frequency and Marginal Distributions Compare Distributions — Shape, Center, Spread, and Outliers (SOCS)Dot Plots and Histograms — Construct and Interpret Boxplots and the Five-Number Summary Mean and Standard Deviation — Compute and Interpret Standardized Scores (z-scores) — Position Within a Distribution Normal Distribution — The 68-95-99.7 Empirical Rule Normal Probability Calculations Using z-tables Find Values from Percentiles — Inverse Normal

COL

Sampling Methods — SRS, Stratified, Cluster, Systematic Margin of Error — Confidence Interval Width

PROB

Probability Rules — Addition Rule and Complement Conditional Probability — P(A|B) and Independence Bayes' Theorem — Update Probabilities with Evidence Discrete Random Variables — Mean and Standard Deviation Binomial Distribution — P(X=k) and Mean/Variance Geometric Distribution — Waiting Time for First Success Combining Independent Random Variables — Mean and Variance Rules

INF

Confidence Interval for a Population Mean (t-interval)Confidence Interval for a Population Proportion (z-interval)Hypothesis Test for a Mean — One-Sample t-Test Hypothesis Test for a Proportion — One-Sample z-Test Type I and Type II Errors — α, Power, and Sample Size Two-Sample Tests — Compare Two Means or Two Proportions Chi-Square Goodness-of-Fit Test Chi-Square Test for Independence Sample Size Calculation — Given Margin of Error Matched-Pairs t-Test — Paired Data Design

REG

Scatterplots and Pearson Correlation Coefficient (r)Least-Squares Regression Line — ŷ = a + bx Residuals and Coefficient of Determination (r²)Outliers and Influential Points in Regression Non-Linear Models — Transformations for Regression Inference for the Slope of a Regression Line

VAR

Explain Why Correlation Does Not Imply Causation

UNC

Explain What a p-Value Means

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