AP Statistics

Complete AP Statistics guide covering all 9 units: one- and two-variable data, collecting data, probability and random variables, sampling distributions, and inference for proportions, means, chi-square, and slopes. Includes calculator strategy (TI-83/84), the formula sheet, PHANTOMS/PANIC frameworks, and FRQ technique.

Topics Covered

One-Variable Data

Two-Variable Data

Collecting Data

Probability & Distributions

Sampling Distributions

Inference: Proportions

Inference: Means

Chi-Square

Inference: Slopes

What you get

Full topic-by-topic curriculum coverage

Spaced-repetition flashcards for every topic

Multiple-choice quizzes with explanations

Term-matching vocabulary games

Aligned with the College Board CED

Exam technique tips throughout

Key terms & definitions bank

12 months of access from purchase

Free Sample

Unit 1 — Exploring One-Variable Data

THE BIG PICTURE. Unit 1 covers DESCRIPTIVE STATISTICS for a single variable — types of data, displays, summary measures, and the normal distribution. The unit weighs 15–23% of the AP exam (one of the heaviest). Mastery of $\overset{x}{ˉ}$ , $s$ , $z$ -scores, the normal distribution, and the CUSS framework for describing distributions is essential for every later unit.

Sample Flashcards

Describe a distribution using the CUSS framework.

Always describe a quantitative distribution by CUSS — and always IN CONTEXT (name the variable and units): • C — CENTER: mean, median, mode. State which (and why if asked). For symmetric data: report MEAN.

Calculate sample standard deviation for the data: 4, 8, 6, 5, 3.

Step 1: Compute sample mean $\overset{x}{ˉ}$ . $\overset{x}{ˉ} = (4 + 8 + 6 + 5 + 3) /5 = 26/5 = 5.2$ . Step 2: Compute deviations $(x - \overset{x}{ˉ})$ and square them. • 4: deviation = $- 1.2$ , squared = 1.44 • 8: deviation = $2.8$ , squared = 7.84 • 6: deviation = $0.8$ , squared = 0.64 • 5: deviation = $- 0.2$ , squared = 0.04 • 3: devia…

Sample Key Terms

Categorical vs Quantitative Variables

Categorical = labels (eye color). Quantitative = numbers with meaning. Quantitative subtypes: discrete (countable, usually integer) vs continuous (measurable, any value in range).

Mean and Standard Deviation

Mean: $\overset{x}{ˉ} = \frac{\sum x}{n}$ (sample) or $μ$ (population). Standard deviation: $s = \frac{\sum ( x - x ˉ ) ^{2}}{n - 1}$ (sample) or $σ$ (population). SD has same units as data.

Median

Middle value when data sorted. For even $n$ , average of two middle values. RESISTANT to outliers (unlike mean). Use median when data are skewed.

What's Covered

Unit 1 — Exploring One-Variable Data
Unit 2 — Exploring Two-Variable Data
Unit 3 — Collecting Data
Unit 4 — Probability, Random Variables, and Probability Distributions
Unit 5 — Sampling Distributions
Unit 6 — Inference for Categorical Data: Proportions
Unit 7 — Inference for Quantitative Data: Means
Unit 8 — Inference for Categorical Data: Chi-Square
Unit 9 — Inference for Quantitative Data: Slopes
AP Statistics — Skills, Procedures, and Exam Strategy

10 topics · 72+ flashcards · quizzes & matching games included

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