High School / AP

AP Statistics

A course covering data analysis, probability, and statistical inference, equipping students with analytical approaches to real-world problems.

Curriculum / Syllabus

  1. Exploring One-Variable Data and Collecting Data
  2. Probability, Random Variables, and Probability Distributions
  3. Inference for Categorical Data: Proportions
  4. Inference for Quantitative Data: Means
  5. Regression Analysis

Exam & Course Strategy

Tests the effective use of formula sheets, mastery of calculator functions, and the ability to interpret data using accurate statistical terminology in Free Response Questions (FRQ).

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Lesson-by-Lesson Curriculum Plan

AP Statistics: 20-Lesson Curriculum Plan (2026-27 Revised Course)

This program is based on the AP Statistics course as revised for the 2026-27 school year, in which the former nine units were consolidated into five. Topics removed from the course (such as the geometric distribution, the chi-square goodness-of-fit test, and inference for slopes) are not included.

Core lessons follow the five units and their topics in order. FRQ (free-response question) practice is built around the four statistical practices assessed on the exam: formulating questions, collecting data, analyzing data, and interpreting results.

  • Total lessons: 20
  • Lesson duration: 90 minutes

Flow of a standard 90-minute lesson

  • 0–10 minutes Warm-up, quick review of the previous lesson, or a mini-quiz.
  • 10–55 minutes Lecture, analysis, and theoretical review of the new topic.
  • 55–85 minutes Guided problem solving: the student works exam-style questions under my direct supervision and receives instant feedback.
  • 85–90 minutes Summary, homework, and wrap-up.
Part 1: Exploring and Collecting Data Lessons 1 - 5

Covers Unit 1 (Exploring One-Variable Data and Collecting Data).

  1. Lesson 1
    Core 1 / Unit 1 What we can learn from data and investigative questions; variables; tables, summary statistics, and graphs for one categorical variable (Topics 1.1 - 1.4).
  2. Lesson 2
    Core 2 / Unit 1 Graphs for one quantitative variable; describing a distribution: shape, center, variability, and unusual features (Topics 1.5 - 1.6).
  3. Lesson 3
    Core 3 / Unit 1 Summary statistics for one quantitative variable, boxplots, and comparing distributions (Topics 1.7 - 1.9).
  4. Lesson 4
    Core 4 / Unit 1 The investigative question revisited and data collection: random sampling, potential problems with sampling, and experimental design (Topics 1.10 - 1.13).
  5. Lesson 5
    FRQ Practice 1 Questions on formulating questions and collecting data (Practices 1 and 2), and on analyzing and interpreting one-variable data (Practices 3 and 4).
Part 2: Probability and Distributions Lessons 6 - 10

Covers Unit 2 (Probability, Random Variables, and Probability Distributions).

  1. Lesson 6
    Core 5 / Unit 2 Two categorical variables: tables, graphs, and summary statistics; estimating probabilities using simulation; introduction to probability (Topics 2.1 - 2.4).
  2. Lesson 7
    Core 6 / Unit 2 Mutually exclusive events, conditional probability, independent events and unions of events (Topics 2.5 - 2.7).
  3. Lesson 8
    Core 7 / Unit 2 Random variables and probability distributions, parameters of random variables, the binomial distribution (Topics 2.8 - 2.10).
  4. Lesson 9
    Core 8 / Unit 2 The normal distribution; sampling distributions and the Central Limit Theorem (Topics 2.11 - 2.12).
  5. Lesson 10
    FRQ Practice 2 Probability and distribution questions, including the multiple-choice question set on this unit.
Part 3: Inference Lessons 11 - 17

Covers Unit 3 (Inference for Categorical Data: Proportions) and Unit 4 (Inference for Quantitative Data: Means).

  1. Lesson 11
    Core 9 / Unit 3 Estimators, sampling distributions for sample proportions, constructing a confidence interval for a population proportion and justifying a claim based on it (Topics 3.1 - 3.4).
  2. Lesson 12
    Core 10 / Unit 3 Setting up and carrying out a test for a population proportion, p-values, and potential errors when performing tests (Topics 3.5 - 3.8).
  3. Lesson 13
    Core 11 / Unit 3 The difference between two population proportions: sampling distribution, confidence interval, justifying a claim, setting up and carrying out a test (Topics 3.9 - 3.13).
  4. Lesson 14
    Core 12 / Unit 3 Setting up and carrying out a chi-square test for homogeneity or independence (Topics 3.14 - 3.15).
  5. Lesson 15
    FRQ Practice 3 Inference for proportions: writing a complete response to the inference free-response question.
  6. Lesson 16
    Core 13 / Unit 4 Sampling distributions for sample means; confidence intervals and tests for a population mean or a population mean difference (Topics 4.1 - 4.5).
  7. Lesson 17
    Core 14 / Unit 4 The difference between two population means: sampling distribution, confidence interval, justifying a claim, setting up and carrying out a test (Topics 4.6 - 4.10).
Part 4: Regression and Exam Simulation Lessons 18 - 20

Covers Unit 5 (Regression Analysis) and comprehensive exam practice.

  1. Lesson 18
    Core 15 / Unit 5 Graphs for two quantitative variables, correlation, linear regression models, residuals, and least-squares regression (Topics 5.1 - 5.5).
  2. Lesson 19
    Exam Simulation Full-scope exam simulation: the multiple-choice section, including the question sets, and all four free-response question types (time management and scoring according to AP rubrics).
  3. Lesson 20
    Evaluation Simulation analysis, addressing common mistakes, and course wrap-up.
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