AP Statistics
Ap statistics course and exam description.
This is the core document for the course.
Preview the Revised AP Statistics Course Framework
This draft AP Statistics course framework (.pdf) includes proposed revisions to the course content. Revisions would take effect in the 2026-27 school year or later.
Course Overview
AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and distribution; patterns and uncertainty; and data-based predictions, decisions, and conclusions.
Course and Exam Description
This is the core document for this course. Unit guides clearly lay out the course content and skills and recommend sequencing and pacing for them throughout the year. The CED was updated in March 2021.
Course Resources
Ap statistics course overview.
This resource provides a succinct description of the course and exam.
AP Statistics Course and Exam Description Walk-Through
Learn more about the CED in this interactive walk-through.
AP Statistics Course at a Glance
Excerpted from the AP Statistics Course and Exam Description, the Course at a Glance document outlines the topics and skills covered in the AP Statistics course, along with suggestions for sequencing.
AP Statistics CED Errata Sheet
This document details the updates made to the course and exam description (CED) in March 2021.
Course Content
Based on the Understanding by Design® (Wiggins and McTighe) model, this course framework provides a clear and detailed description of the course requirements necessary for student success. The framework specifies what students must know, be able to do, and understand, with a focus on three big ideas that encompass the principles and processes in the discipline of statistics. The framework also encourages instruction that prepares students for advanced coursework in statistics or other fields using statistical reasoning and for active, informed engagement with a world of data to be interpreted appropriately and applied wisely to make informed decisions.
The AP Statistics framework is organized into nine commonly taught units of study that provide one possible sequence for the course. As always, you have the flexibility to organize the course content as you like.
| Unit | Exam Weighting (Multiple-Choice Section) |
|---|---|
| Unit 1: Exploring One-Variable Data | 15%–23% |
| Unit 2: Exploring Two-Variable Data | 5%–7% |
| Unit 3: Collecting Data | 12%–15% |
| Unit 4: Probability, Random Variables, and Probability Distributions | 10%–20% |
| Unit 5: Sampling Distributions | 7%–12% |
| Unit 6: Inference for Categorical Data: Proportions | 12%–15% |
| Unit 7: Inference for Quantitative Data: Means | 10%–18% |
| Unit 8: Inference for Categorical Data: Chi-Square | 2%–5% |
| Unit 9: Inference for Quantitative Data: Slopes | 2%–5% |
Course Skills
The AP Statistics framework included in the course and exam description outlines distinct skills that students should practice throughout the year—skills that will help them learn to think and act like statisticians.
| Skill | Description | Exam Weighting (Multiple-Choice Section) |
|---|---|---|
| 1. Selecting Statistical Methods | Select methods for collecting and/or analyzing data for statistical inference. | 15%–23% |
| 2. Data Analysis | Describe patterns, trends, associations, and relationships in data. | 15%–23% |
| 3. Using Probability and Simulation | Explore random phenomena. | 30%–40% |
| 4. Statistical Argumentation | Develop an explanation or justify a conclusion using evidence from data, definitions, or statistical inference. | 25%–35% |
AP and Higher Education
Higher education professionals play a key role in developing AP courses and exams, setting credit and placement policies, and scoring student work. The AP Higher Education section features information on recruitment and admission, advising and placement, and more.
This chart shows recommended scores for granting credit, and how much credit should be awarded, for each AP course. Your students can look up credit and placement policies for colleges and universities on the AP Credit Policy Search .
Meet the AP Statistics Development Committee
The AP Program is unique in its reliance on Development Committees. These committees, made up of an equal number of college faculty and experienced secondary AP teachers from across the country, are essential to the preparation of AP course curricula and exams.
AP Statistics Development Committee
Chapter Review
5.1 continuous probability functions.
The probability density function (pdf) is used to describe probabilities for continuous random variables. The area under the density curve between two points corresponds to the probability that the variable falls between those two values. In other words, the area under the density curve between points a and b is equal to P ( a < x < b ). The cumulative distribution function (cdf) gives the probability as an area. If X is a continuous random variable, the probability density function (pdf), f ( x ), is used to draw the graph of the probability distribution. The total area under the graph of f ( x ) is one. The area under the graph of f ( x ) and between values a and b gives the probability P ( a < x < b ).
The cumulative distribution function (cdf) of X is defined by P ( X ≤ x ). It is a function of x that gives the probability that the random variable is less than or equal to x .
5.2 The Uniform Distribution
If X has a uniform distribution where a < x < b or a ≤ x ≤ b , then X takes on values between a and b (may include a and b ). All values x are equally likely. We write X ∼ U ( a , b ). The mean of X is μ = a + b 2 μ = a + b 2 . The standard deviation of X is σ = ( b − a ) 2 12 σ = ( b − a ) 2 12 . The probability density function of X is f ( x ) = 1 b − a f ( x ) = 1 b − a for a ≤ x ≤ b . The cumulative distribution function of X is P ( X ≤ x ) = x − a b − a x − a b − a . X is continuous.
The probability P ( c < X < d ) may be found by computing the area under f ( x ), between c and d . Since the corresponding area is a rectangle, the area may be found simply by multiplying the width and the height.
5.3 The Exponential Distribution (Optional)
If X has an exponential distribution with mean μ , then the decay parameter is m = 1 μ 1 μ , and we write X ~ Exp ( m ) where x ≥ 0 and m > 0 . The probability density function of X is f ( x ) = me -mx (or equivalently f ( x ) = 1 μ e − x / μ f ( x ) = 1 μ e − x / μ . The cumulative distribution function of X is P ( X ≤ x ) = 1 – e – mx .
The exponential distribution has the memoryless property , which says that future probabilities do not depend on any past information. Mathematically, it says that P ( X > x + k | X > x ) = P ( X > k ).
If T represents the waiting time between events, and if T ~ Exp ( λ ), then the number of events X per unit time follows the Poisson distribution with mean λ . The probability density function of X is P ( X = k ) = λ k e − k k ! P ( X = k ) = λ k e − k k ! . This may be computed using a TI-83, 83+, 84, 84+ calculator with the command poissonpdf( λ , k ). The cumulative distribution function P ( X ≤ k ) may be computed using the TI-83, 83+,84, 84+ calculator with the command poissoncdf( λ , k ).
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Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute Texas Education Agency (TEA). The original material is available at: https://www.texasgateway.org/book/tea-statistics . Changes were made to the original material, including updates to art, structure, and other content updates.
Access for free at https://openstax.org/books/statistics/pages/1-introduction
- Authors: Barbara Illowsky, Susan Dean
- Publisher/website: OpenStax
- Book title: Statistics
- Publication date: Mar 27, 2020
- Location: Houston, Texas
- Book URL: https://openstax.org/books/statistics/pages/1-introduction
- Section URL: https://openstax.org/books/statistics/pages/5-chapter-review
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AP Statistics lesson 5.1, from the Skew The Script curriculum. Introduce probability through an exploration of the "curse" of baseball's home run derby.
population is broken into subgroups that are small images of the target population, then SRS from each subgroup. multistage sample. select successively smaller groups within population stages. Each stage employs a type of sampling. Chapter 5: Producing Data 5.1 Producing Samples Learn with flashcards, games, and more — for free.
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5.7. Sampling Distributions for Sample Means. 3 min read. 5.8. Sampling Distributions for Differences in Sample Means. 4 min read. Practice Quiz. Study guides to review Sampling Distributions. For high school students taking AP Statistics.
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This lesson covers 5.1 (part 1 of 1) from The Practice of Statistics: Randomness, Probability and Simulation. We go over the basics of probability, what a si...
Briefly describe the most important differences between the two groups, and back up your description with percentages. Chocolate: Female = 20/50 = 0.4; Male = 30/50 = 0.6 Vanilla: Female = 45/95 = 0.4736; Male = 50/95 = 0.5264. There is a higher percentage out of those that like chocolate for males than out of Vanilla.
AP Statistics Unit 3 - Detailed notes for this unit. Unit 1 Practice Test 2022. Stats Medic - Significance Test for a Mean Day 1. Stats Medic Unit 7 Important Ideas. Skew the Script 5.1 handout key. 3 pages of walk through for lesson 5.1 of the ap statistics curriculum. solutions and teacher notes in ap statistics handout.
Unit 6: Collecting data. Unit mastery: 0%. Introduction to planning a study: Collecting data Potential problems with sampling: Collecting data Random sampling and data collection: Collecting data. Introduction to experimental design: Collecting data Inference and experiments: Collecting data.
Uses impersonal chance to select samples. Multistage samples. Successively selects smaller groups within the population in stages, resulting in a sample consisting of clusters of individuals. Response bias. Bias due to the behavior of the interviewer or the respondent. Chapter 5.1 Learn with flashcards, games, and more — for free.
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If the least-squares equation relating the independent variable given problem is y = 2x+5, then an increase of 1 unit in in y. and the dependent variable y for a. is associated with an increase of 2 units. If your computed correlation coefficient is r = +1.2, then you have better than a perfect positive correlation.
AP Statistics. Here you will find Experience First, Formalize Later (EFFL) lessons for every topic of the College Board's Course and Exam Description (CED) for AP Statistics, plus a pacing guide that will ensure you get through all the content and have plenty of time to review for the AP Statistics Exam. Math Medic is a web application that ...
Ch 1.1 Practice. Ch 1 Test (Quantitative Data) Ch 1.2 Check Your Understanding. Ch 1.2 / 1.3 Graphing Calculator Practice. Battery Intro. Ch 3 Test (Scatterplots and Least-Squares Regressions) Linear Regressions and Scatterplots. Forensic Lab. Practice with Residuals.
AP Statistics - 5.1-5.2 Quiz Review. Probability. Click the card to flip 👆. any outcome of a chance process is a number between 0 and 1 that describes the proportion of times the outcome would occur in a very long series of repetitions. Click the card to flip 👆. 1 / 13.
AP Statistics is an introductory college-level statistics course that introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data. Students cultivate their understanding of statistics using technology, investigations, problem solving, and writing as they explore concepts like variation and ...
The probability P(c < X < d) may be found by computing the area under f(x), between c and d.Since the corresponding area is a rectangle, the area may be found simply by multiplying the width and the height. 5.3 The Exponential Distribution (Optional). If X has an exponential distribution with mean μ, then the decay parameter is m = 1 μ 1 μ, and we write X ~ Exp(m) where x ≥ 0 and m > 0 .
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1.5 Teacher Items. Handout Key: pdf, docx. Slide Deck: ppt, pdf. CED/Textbook Alignment: page. Data: xlsx. All Part 1 Lessons. AP Statistics lesson 1.5, from the Skew The Script curriculum. Covers the flaw of averages and boxplots through politicians' use of the word "average."