Virtual Virginia

3192 Advanced Placement Statistics

Field of Study

AP Statistics is a college-level, non-calculus-based course in introductory statistics designed to present strategies for collecting, organizing, analyzing, and drawing conclusions from data.

Material Covered

  • Module 1: Exploring Data. What is statistics? What do I with data? How do I display and work with different types of data? In this module, we will visit the introduction to statistics and begin working with data, graphical displays, and technology to organize our data and will learn how to understand and interpret the data. So what does the data reveal to us? Is there a reason for further study? Do we see anything strange with the data? How does it compare with other data and other studies?
  • Module 2: Gathering Data. What is randomization? How do you collect a random sample? What are the different types of sampling methods? When planning or conducting a study/experiment, there are key principles of design one must remember to include. In this module, we will visit the selection process first, then the types of errors and types of bias that may occur. We will finish the module with our study on experiments.
  • Module 3: Randomness and Probability. This module will introduce the Normal model as a standard for working with probability, followed by probability calculations and formulas to help us predict the likelihood of future events occurring. We will visit normal models and binomial and geometric distributions.
  • Module 4: From Data to the World at Large. Students will begin to combine and use what they have learned so far in the course. Students will begin their study of inferential statistics, where claims and stronger statements can be made using the tools learned in this module. Students will study confidence intervals, sample proportions, working with large groups of data, and inferential tests for proportions. The tools learned in the course so far will come together now to give students what they need to properly check conditions, analyze the data, and then run a complete inference test to determine if a claim should be rejected or not.  
  • Module 5: Learning about the World. In the real world, data rarely fits into a box that is perfect like the Normal model requires. Students investigate other methods of analyzing data to work with real, live data that is many times not fit for the tight restrictions of the Normal model. Instead of just stopping because our conditions are not met, students can now continue with the t-model and chi-square tests to work with real-world problems. Students also see how the material they learned in Module 1 is expanded to a greater level when they investigate linear regression and inferential testing.
  • Module 6: Final Project. This project is a culmination of the year’s work. It will incorporate all that students have learned: designing an experiment, exploratory data analysis, and regression and hypothesis testing. In addition, it will require learning some technical skills and practicing presentation abilities.

Student Expectations

Students will work on projects and investigative tasks involving the hands-on gathering and analysis of real-world data. They will learn to interpret and judge the statistical information in the world around them. Computers and calculators will allow students to investigate and explore statistical concepts. Effective communication skills will be developed through regular written analysis of real data for dropbox submissions, discussion boards, and through free response questions on assessments. Student work will be required outside of class time.

Additional Information

While AP Statistics is technically a math course, students will quickly learn and adapt to the interpretive nature of this course. Statistics is like a new language in that there are certain arguments, sentence structures, and vocabulary used to interpret data properly. Students will work on projects and investigative tasks involving the hands-on gathering and analysis of real-world data. They will learn to interpret and judge the statistical information in the world around them. Computer software and calculators will allow students to investigate and explore statistical concepts. Effective communication skills will be developed through regular written analysis of real data. Student work will be required outside of class time.

Related Requirements

At the conclusion of the course, students will be prepared to take the AP Calculus AB Exam and are expected (but not required) to do so.

Prerequisites

  • Required
    • Enrollment in grades 9–12
    • Successful completion of Algebra II
  • Recommended
    • Successful completion of Pre-Calculus/Mathematical Analysis
    • Mathematical maturity and quantitative reasoning ability

Course Texts and Materials

Required

  • Statistics: Modeling the World
    Authors: Bock, Velleman, DeVeaux
    Publisher: Pearson
    5th edition, AP Edition, print, ISBN-10: 013354155X / ISBN-13: 9780133541557
    5th edition, AP Edition, e-text, ISBN-10: 0134782003 / ISBN-13: 9780134782003
    4th edition, print, ISBN-13: 9780321854018
    4th edition, e-text, ISBN-13: 9780134243924
  • TI-Nspire CX calculator, including student software
  • Pre-Course Assignment:
    How to Lie with Statistics
    Author: Darrell Huff
    ISBN: 0393310728
    Note: This book, available as a free download, is a required reading for the pre-course assignment.

Optional

  • Barron’s AP Statistics (with or without CD-ROM)
    Publisher: Barron’s
    ISBN: 9781438077123
    Note: Any edition will be sufficient and is useful for students to use throughout the course, so it is encouraged to have this book at the start of the course.
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