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Textbook
Introduction
1. One variable data
2. Two variable data
3. Data collection
4. Probability and random variables
5. Sampling distributions
6. Categorical data
7. Quantitative data
8. Chi-square
9. Linear regression
Wrapping up
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Introduction
Achievable AP Statistics
Our AP Statistics course is currently in development and is a work-in-progress.

Introduction

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Welcome to AP Statistics!

This course introduces the main ideas and tools statisticians use to collect data, analyze it, and draw conclusions. The AP Statistics Exam, offered by the College Board each May, can earn you university credit or advanced placement in an introductory statistics course at many postsecondary institutions.

You’ll learn how to:

  • design studies and collect data appropriately
  • explore patterns in data using graphs and numerical summaries
  • use probability and simulation to model randomness
  • apply statistical inference to real-world scenarios

AP Statistics is typically taken in grades 11-12. Many schools expect a strong grade in the prerequisite course (often Algebra II or Integrated Math III). A common benchmark is around 85% or higher, but the exact cutoff depends on your school.

Common prerequisites and expectations

  • Completion of Algebra 2, Integrated Math 3, or an equivalent (generally a requirement)
  • Introductory level data & descriptive statistics (from Algebra 1 or Integrated Math 1)
  • Basic probability intuition (from Geometry or Integrated Math 1+2)
  • General understanding of using the TI-84 calculator (from Algebra 2 or Integrated Math 2+3)

Exam format

The AP Statistics exam is a 3-hour exam with two main sections:

  1. Section 1: Multiple Choice (counts for 50% of your total exam score)
    • About 40 multiple-choice questions
    • Time: 1 hour and 30 minutes
    • Main topics: interpreting graphs, probability, sampling distributions, experimental design, and statistical inference
  2. Section 2: Free Response
    • 6 free-response questions in total including one investigative task
    • Includes one question about collecting data, one question about exploring data, one question about probability and sampling distributions, one question about inference, and one question combining two or more skill categories.
    • The investigative task is one large, multi-part problem worth 25% of the FRQ section which assesses multiple skill categories and content areas, focusing on application in new or non-routine contexts.

Tips for success:

  • Build a study plan
    • Regularly schedule time weekly to practice the concepts
    • After each lesson, review your notes and summarize the key ideas that you took away from each section
  • Incorporate practice
    • It is far more effective to include practice in your study plan, rather than just reading or watching videos.
    • Practice writing full solutions with clear, strong explanations and incorporating feedback into future solutions.
  • Use your calculator effectively
    • Practice using your graphing calculators functions (specifically the 1-Var Stats, regression, normalcdf, binompdf, etc.)
    • Understand how and when each function is used and practice explaining the purpose of using each function.
    • Try certain exam-style questions by hand and with a TI-84 calculator
  • Focus on interpretation and clear communication
    • Tie your final answer back to the context of the problem. Ask yourself: what does this mean in a real-world context?
    • Learn the correct statistical vocabulary (i.e. using words such as “sample” and population rather than “the people chosen to participate in the study” and “the entire group of people who we are studying”).
    • Make sure your answers, much like good survey questions, are clear and unambiguous to avoid potential misinterpretations.

How this course will help you on the exam

  • This course starts with a diagnostic to help you assess which areas you are strong in and which ones you could use more practice in. This course is designed to suggest specific sections and question sets that are most important for you to complete. The goal is to save you time; rather than reading the book cover to cover, it is more efficient to focus on concepts that you are less familiar with.
  • This course includes quizzes at the end of each section in order to help you self-assess how well you understood the concepts and encourage you to begin practicing the necessary calculations and conclusions in context.
  • This course includes 3 mock exams with grading and feedback that mirror the AP Statistics exam structure. This will help you identify further areas for improvement and suggest the most applicable material for your situation.

Final thoughts

AP Statistics isn’t just about applying formulas. It’s about using data to answer questions and explaining what your results mean in context. As you work through the course, keep connecting calculations back to the real situation: what does the evidence suggest, and how confident are you in that conclusion?

Course overview

  • Focus: data collection, analysis, and drawing conclusions
  • Key skills: study design, data exploration, probability, statistical inference
  • AP exam may provide college credit or advanced placement

Common prerequisites and expectations

  • Completion of Algebra II, Integrated Math III, or equivalent
  • Introductory data & descriptive statistics knowledge
  • Basic probability understanding
  • Familiarity with TI-84 calculator functions

Exam format

  • Section 1: Multiple choice
    • 40 questions, 90 minutes, 50% of score
    • Topics: graphs, probability, sampling, experimental design, inference
  • Section 2: Free response
    • 6 questions (including 1 investigative task)
    • Covers data collection, data exploration, probability, inference, and mixed skills
    • Investigative task: multi-part, 25% of FRQ section, real-world application

Tips for success

  • Make and follow a study plan with regular practice
  • Review and summarize notes after each lesson
  • Practice full written solutions and incorporate feedback
  • Master calculator functions (1-Var Stats, regression, normalcdf, binompdf, etc.)
  • Emphasize interpretation and clear, context-based communication
    • Use correct statistical vocabulary
    • Ensure answers are clear and unambiguous

Course features for exam preparation

  • Diagnostic assessment to target weak areas
  • Section quizzes for self-assessment and practice
  • 3 mock exams with feedback, mirroring AP exam structure

Final thoughts

  • Emphasis on interpreting data and explaining results in context
  • Connect calculations to real-world meaning and confidence in conclusions
Next  | 1.1 Categorical and quantitative variables
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Introduction

Welcome to AP Statistics!

This course introduces the main ideas and tools statisticians use to collect data, analyze it, and draw conclusions. The AP Statistics Exam, offered by the College Board each May, can earn you university credit or advanced placement in an introductory statistics course at many postsecondary institutions.

You’ll learn how to:

  • design studies and collect data appropriately
  • explore patterns in data using graphs and numerical summaries
  • use probability and simulation to model randomness
  • apply statistical inference to real-world scenarios

AP Statistics is typically taken in grades 11-12. Many schools expect a strong grade in the prerequisite course (often Algebra II or Integrated Math III). A common benchmark is around 85% or higher, but the exact cutoff depends on your school.

Common prerequisites and expectations

  • Completion of Algebra 2, Integrated Math 3, or an equivalent (generally a requirement)
  • Introductory level data & descriptive statistics (from Algebra 1 or Integrated Math 1)
  • Basic probability intuition (from Geometry or Integrated Math 1+2)
  • General understanding of using the TI-84 calculator (from Algebra 2 or Integrated Math 2+3)

Exam format

The AP Statistics exam is a 3-hour exam with two main sections:

  1. Section 1: Multiple Choice (counts for 50% of your total exam score)
    • About 40 multiple-choice questions
    • Time: 1 hour and 30 minutes
    • Main topics: interpreting graphs, probability, sampling distributions, experimental design, and statistical inference
  2. Section 2: Free Response
    • 6 free-response questions in total including one investigative task
    • Includes one question about collecting data, one question about exploring data, one question about probability and sampling distributions, one question about inference, and one question combining two or more skill categories.
    • The investigative task is one large, multi-part problem worth 25% of the FRQ section which assesses multiple skill categories and content areas, focusing on application in new or non-routine contexts.

Tips for success:

  • Build a study plan
    • Regularly schedule time weekly to practice the concepts
    • After each lesson, review your notes and summarize the key ideas that you took away from each section
  • Incorporate practice
    • It is far more effective to include practice in your study plan, rather than just reading or watching videos.
    • Practice writing full solutions with clear, strong explanations and incorporating feedback into future solutions.
  • Use your calculator effectively
    • Practice using your graphing calculators functions (specifically the 1-Var Stats, regression, normalcdf, binompdf, etc.)
    • Understand how and when each function is used and practice explaining the purpose of using each function.
    • Try certain exam-style questions by hand and with a TI-84 calculator
  • Focus on interpretation and clear communication
    • Tie your final answer back to the context of the problem. Ask yourself: what does this mean in a real-world context?
    • Learn the correct statistical vocabulary (i.e. using words such as “sample” and population rather than “the people chosen to participate in the study” and “the entire group of people who we are studying”).
    • Make sure your answers, much like good survey questions, are clear and unambiguous to avoid potential misinterpretations.

How this course will help you on the exam

  • This course starts with a diagnostic to help you assess which areas you are strong in and which ones you could use more practice in. This course is designed to suggest specific sections and question sets that are most important for you to complete. The goal is to save you time; rather than reading the book cover to cover, it is more efficient to focus on concepts that you are less familiar with.
  • This course includes quizzes at the end of each section in order to help you self-assess how well you understood the concepts and encourage you to begin practicing the necessary calculations and conclusions in context.
  • This course includes 3 mock exams with grading and feedback that mirror the AP Statistics exam structure. This will help you identify further areas for improvement and suggest the most applicable material for your situation.

Final thoughts

AP Statistics isn’t just about applying formulas. It’s about using data to answer questions and explaining what your results mean in context. As you work through the course, keep connecting calculations back to the real situation: what does the evidence suggest, and how confident are you in that conclusion?

Key points

Course overview

  • Focus: data collection, analysis, and drawing conclusions
  • Key skills: study design, data exploration, probability, statistical inference
  • AP exam may provide college credit or advanced placement

Common prerequisites and expectations

  • Completion of Algebra II, Integrated Math III, or equivalent
  • Introductory data & descriptive statistics knowledge
  • Basic probability understanding
  • Familiarity with TI-84 calculator functions

Exam format

  • Section 1: Multiple choice
    • 40 questions, 90 minutes, 50% of score
    • Topics: graphs, probability, sampling, experimental design, inference
  • Section 2: Free response
    • 6 questions (including 1 investigative task)
    • Covers data collection, data exploration, probability, inference, and mixed skills
    • Investigative task: multi-part, 25% of FRQ section, real-world application

Tips for success

  • Make and follow a study plan with regular practice
  • Review and summarize notes after each lesson
  • Practice full written solutions and incorporate feedback
  • Master calculator functions (1-Var Stats, regression, normalcdf, binompdf, etc.)
  • Emphasize interpretation and clear, context-based communication
    • Use correct statistical vocabulary
    • Ensure answers are clear and unambiguous

Course features for exam preparation

  • Diagnostic assessment to target weak areas
  • Section quizzes for self-assessment and practice
  • 3 mock exams with feedback, mirroring AP exam structure

Final thoughts

  • Emphasis on interpreting data and explaining results in context
  • Connect calculations to real-world meaning and confidence in conclusions

Related readings

  • Wrapping up