Virtual Virginia

3192 Advanced Placement Statistics

Field of Study

Advanced Placement 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

Overview Outline

  • Module 1  Exploring DataWhat 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, technology to organize our data, and will learn to understand and interpret the data. So what does the data reveal to us? Is there reason for further study? Do we see anything strange with the data? How does it compare with other data and other studies? These are some of the questions we will address in Module 1.
  • Module 2  Gathering DataWhat 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, and finally we will finish the module with our study on experiments
  • Module 3  Randomness and ProbabilityThis 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, binomial, and geometric distributions.
  • Module 4  From Data to the World at Large: This module begins to take students on a journey to combine and use what they have learned so far from modules I,II, and III. Students will begin their study on 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 WorldIn the real world, data is rarely fit 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 squared tests to work with real world problems. Students also see how material they learned in Module 1 is expanded to a greater level when they investigate linear regression and inferential testing.
  • Module 6  Final projectThis project is the culmination of a year’s work. It will incorporate all that you have learned: designing an experiment, exploratory data analysis and regression and hypothesis testing.  In addition, it will require learning some technological skills and practicing your 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 type 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. 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.

Related Requirements

After the course, students will be prepared to take the Advanced Placement AP Statistics Exam, and are expected but not required to do so.

Prerequisites

  • Enrolled in grades 9-12
  • Successful completion of Algebra II (required).
  • Successful completion Pre-Calculus/Mathematical Analysis and mathematical maturity and quantitative reasoning ability (recommended).

Course Texts and Materials

Required

Optional

  • AP Exam Review Resource
    • Barron’s AP Statistics with or without CD rom #9781438077123 http://barronseduc.com/1438077122.html 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.