AP · Full CourseUpdated for Fall 2026

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AP Statistics Study Guide

Complete AP Statistics guide updated for the Fall 2026 redesign, covering all 5 units: exploring one-variable data and collecting data; probability, random variables, and probability distributions; inference for categorical data (proportions and chi-square); inference for means; and regression analysis. Includes calculator strategy (TI-83/84), the formula sheet, PHANTOMS/PANIC frameworks, and technique for the four 10-point free-response questions.

The Prep Den AP Statistics study guide is your complete companion for revising the course: full topic-by-topic coverage, spaced-repetition flashcards, practice quizzes with worked explanations, a key-terms bank, and exam-technique tips. Use it as your main study guide or as a supplement to your textbook and class notes.

Topics Covered

Exploring & Collecting Data

Probability & Distributions

Inference: Proportions

Inference: Means

Regression Analysis

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. In the Fall 2026 framework, Unit 1: Exploring One-Variable Data and Collecting Data is 20–30% of the AP exam, the heaviest unit. This first section covers DESCRIPTIVE STATISTICS for a single variable: types of data, displays, summary measures, and the normal distribution. Collecting Data (the rest of Unit 1) is the next section. 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.

Describe a quantitative distribution by CUSS, always in context (name the variable and units):

Center: mean (symmetric) or median (skewed).
Unusual features: outliers (1.5 × IQR rule), gaps, clusters.
Shape: symmetric, skewed left/right, unimodal/bimodal.
Spread: SD (symmetric) or IQR (s…

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

Step 1: mean $\overset{x}{ˉ} = (4 + 8 + 6 + 5 + 3) /5 = 26/5 = 5.2$ .

Step 2: square the deviations from 5.2: $(- 1.2)^{2} = 1.44$ , $2. 8^{2} = 7.84$ , $0. 8^{2} = 0.64$ , $(- 0.2)^{2} = 0.04$ , $(- 2.2)^{2} = 4.84$ . Sum $= 14.8$ .

Step 3: divide by $n - 1 = 4$ , then take the root: $s^{2} = 14.8/4 = 3.7$ , so $s = 3.7 \approx 1.92$ .

Use $n - 1$ (Bes…

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

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

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