SixthEdition| ©2020Daren S. Starnes; Josh Tabor
The Practice of Statistics is the most trusted program for AP® Statistics because it provides teachers and students with everything they need to be successful in the statistics course and on the AP® Exam. With the expert authorship of high school AP® Statistics veterans, Daren Star...
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Utilizing technology and extensive support for student success.
The Practice of Statistics is the most trusted program for AP® Statistics because it provides teachers and students with everything they need to be successful in the statistics course and on the AP® Exam. With the expert authorship of high school AP® Statistics veterans, Daren Starnes and Josh Tabor and their supporting team of AP® teacher/leaders, The UPDATED Practice of Statistics, Sixth edition features a revised organization to match the new unit structure in the 2019-2020 Course Framework for AP® Statistic perfectly.
While developing this updated edition, the authors ensured that every College Board Learning Objective and Essential Knowledge statement in the 2019-2020 Course Framework is addressed fully. In addition, all of the required skills -- selecting statistical methods, data analysis, using probability and simulation, and statistical argumentation -- are integrated in the student edition and are clearly identified in the Updated Teacher’s Edition to help teachers reinforce them at point of use.
The Updated Practice of Statistics program combines a data analysis approach with the power of technology, innovative pedagogy, and an extensive support program entirely refreshed to reflect the changes that will allow teachers to use the revised College Board organization and content seamlessly.The Updated edition features an extensive set of resources including a robust online homework program, the extensively revised Test Bank, a comprehensive set of videos, and the Teacher’s Edition and Teacher’s Resource Materials, giving teachers and students everything they need to realize success on the exam and in the course.
Features
Examples with paired “Try “Problems – At the heart of the TPS approach are the 175 worked examples, which are mapped to parallel exercises in the Section Exercises, to offer students both practice and support. A backward/forwards navigation system ensures that students who start by trying to work exercises and only then go back to read the text content will land at the right spot and will get the guided help they need. Each Example presents a detailed response in a “student font” to model a complete and well written solution.
Over 1600 Problems for Practice – Each of the 12 chapters is organized into 2-3 sections with 4-7 Learning Targets in each. Integrated throughout the text are Check Your Understanding exercises that offer “on the spot” practice for concepts and skills just learned. Each Section ends with comprehensive Section Exercises, including short answer, Multiple Choice, and “review and recycle” problems, that ensures that key ideas learned earlier in the presentation are revisited as appropriate. Every Chapter concludes with a through Chapter Review and summary, including a review table that identifies related examples and exercises for each Learning Target, a focused set of Chapter Review Exercises, and a Chapter AP® Statistics Practice Test with M/C and FRQ questions.
Additional help is offered through the 350 worked Example and Exercise Videos, identified by the play button, that feature an experienced AP® Statistics walking step-by-step through each one to offer additional help and support when students need it most. The can be accessed by clicking on the link in the student e-Book or viewed at the open access Student Site.
Integrated AP® Support – Our authors know from experience that success on the AP® Exam comes from practicing every day- not just during a last minute review session. In addition to strict adherence to the language, nomenclature, formulas and style of the new 2019-2020 AP® Exam, many special features are incorporated:
- AP® Exam Tips appear throughout the text to provide in situ hints and guidance on how to study and prepare for the exam and avoid common mistakes.
- Each Section ends with a comprehensive Section exercise set, including “review and recycle” problems that ensures that key ideas learned earlier in the presentation are revisited as appropriate. Every Chapter concludes with a through Chapter Review and summary, including a review table that identifies related examples and exercises for each Learning Target, a focused set of Chapter Review Exercises, and a Chapter AP® Statistics Practice Test.
- In addition, each chapter features a FRAPPY (Free Response AP® Problem, Yay!) activity that prepares students to answer the challenging FRQs, that comprise 50% of the score on the AP Exam.
- Four Cumulative AP® Practice Tests are interspersed at logical breaks in the text and build in level of complexity culminating in a complete model exam to help prepare students for success on the 2019-2020 AP® Statistics Exam.
Technology Corners – provide detailed instructions, with screen captures, for creating graphs and performing the most important statistical analyses on the TI-84 graphing calculator. TI-Nspire instructions are available on the Student Site and in the digital platform. In addition, a comprehensive set of Applets, available free to users, supports simulation and hands-on learning and are referenced at appropriate points in the text.
New to This Edition
From Daren and Josh:
In "Classic" 6e (and 4e/5e), inference chapters are organized by the type of inference: confidence intervals for single samples (Chapter 8), significance tests for single samples (Chapter 9), and significance tests and confidence intervals for two samples (Chapter 10). In "Updated" 6e, inference chapters are organized by type of data, to match the CED: inference for proportions (Chapters 8–9) and inference for means (Chapters 10–11). In both books, chi-square tests and inference for slope wrap up the chapters on inference.
—
A number of important structural changes were made in the UPDATED sixth edition to ensure tight alignment with the AP® Statistics Course and Exam Description, including:
- Transforming to achieve linearity moved from Section 12.2 to Section 3.3 in UPDATED TPS 6e, so Chapter 3 now aligns with College Board’s Unit 2: Exploring Two-Variable Data in the Course Framework.
- Sampling distribution of a difference in proportions moved from Section 10.1 to Section 7.2 in UPDATED TPS 6e; sampling distribution of a difference in means moved from Section 10.2 to Section 7.3 in UPDATED TPS 6e.
- Inference completely reorganized to match Course Framework units:
The 4-step “State-Plan-Do-Conclude” process that is primarily intended to help students answer inference questions on the AP® exam, is now only developed only in the inference chapters (8-12) of the Updated TPS6e. Further, a streamlined two-step process for Normal distribution and Binomial distribution calculations has been introduced in the UPDATED sixth edition to match recent AP® rubrics.
Here are specific content changes made in the UPDATED sixth edition based on the AP® Statistics Course Framework.
Chapter 1
- Added mosaic plots.
- Added margin note discussing mean ± 2 or 3 SD criterion for outliers.
- Emphasized terminology:
- discrete vs. continuous quantitative variables
- descriptive statistics vs. inferential statistics
- statistic vs. parameter
- unimodal (single-peaked), bimodal (double-peaked), approximately uniform
- variance vs. standard deviation
Chapter 2
- Changed definition of percentile to less than or equal to, with equivalent changes to cumulative relative frequency graphs.
- Emphasized terminology:
- empirical rule (68-95-99.7 rule)
Chapter 3
- Removed the term “outlier” in Section 3.1, as it has a more restrictive meaning in the course framework. Replaced with “unusual value.”
- Changed the equation of the least-squares regression line to .
- Introduced term “high-leverage point” as one whose x value is far from . Also, restricted the use of “outlier” to points with big residuals. Both high-leverage points and outliers can be influential points.
- Emphasized terminology:
- univariate vs. bivariate data
Chapter 4
- Added systematic random sampling.
- Emphasized terminology:
- hom*ogeneous vs. heterogeneous
- prospective vs. retrospective observational studies
Chapter 5
- Changed “chance process” to “random process”.
- Emphasized terminology:
- trial
- empirical vs. theoretical probability
- disjoint (mutually exclusive)
- joint probability
Chapter 6
- Expanded discussion of 10% condition and independent observations.
- Increased coverage of geometric random variables to include shape, center (mean), and variability (SD) of the probability distribution.
- Emphasized terminology:
- probability distribution vs. population distribution; parameter
- cumulative probability distribution
- linear transformation vs. linear combination
Chapter 7
- Increased emphasis on the 10% condition, including idea that the traditional formulas for and overestimate the actual SD when sampling without replacement (but the difference is negligible when the 10% condition is met).
- Emphasized terminology:
- point estimator
- randomization distribution
- independent observations vs. independent samples
Chapters 8–11
- For each inference procedure, the conditions are introduced by stating that we need to check for independence in data collection methods (Random condition, 10% condition when sampling without replacement) and that the sampling distribution is approximately Normal (Large Counts, Normal/Large Sample).
Chapter 8
- Emphasized that a confidence interval is an interval estimate of plausible values for a parameter based on sample data.
- Emphasized that a confidence level represents the long-run capture rate when conditions are met.
- Modified generic formula for a confidence interval to use “standard error” rather than “standard deviation” to align with the new formula sheet.
- Emphasized that a confidence interval for a proportion can be used to create other intervals (e.g., for the total number of successes in a population).
Chapter 9
- Modified generic formula for a standardized test statistic to include standard deviation (error) of statistic in the denominator to align with the new formula sheet.
- Emphasized that the P-value is the probability of getting evidence for Ha as strong or stronger than the observed evidence when H0 is true, assuming the probability model is valid (conditions are met).
- Adjusted the decision rule for rejecting H0 to P-value ≤ α instead of P-value < α.
- For a two-sample z test of H0: p1 – p2 = 0, the Large Counts condition now uses expected counts calculated with the pooled (combined) proportion instead of observed counts.
Chapters 10 and 11
- Encouraged use of df from technology for two-sample t procedures.
- Placed paired data procedures immediately after two-sample procedures to help students differentiate these methods.
Chapter 12
- Emphasized that the chi-square statistic measures how far observed counts are from expected counts, relative to expected counts.
- Changed the equation of the population regression model to .
Modified the Normal condition for inference about slope: At each x value, the distribution of y values is approximately Normal OR n ≥ 30. - Added mention of a one-parameter model (with y intercept = 0) that uses df = n – 1 (otherwise df = n – 2 when estimating both the slope and y intercept).
In addition to the content changes, the Updated 6th edition has been refined to provide more and better support for the diverse population of students that takes AP® Statistics today.
NEW – Many of the Examples now include Teacher Talk boxes that feature the voice of the teacher to guide students through the appropriate steps in the solution.
NEW - More detailed Chapter Review Exercise Videos that augment the Section Example and Exercise Videos and help students prepare for the Chapter AP® Practice Test.
Activities and NEW Chapter Projects – with more than 30 built in Activities and 5 Chapter Projects, students are encouraged to learn by simulation and by “doing” statistics. The activities and projects may be used to support collaborative learning as well as deeper investigation and study
UPDATED Version of The Practice of Statistics
SixthEdition| ©2020
Daren S. Starnes; Josh Tabor
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UPDATED Version of The Practice of Statistics
Sixth Edition| 2020
Daren S. Starnes; Josh Tabor
Table of Contents
Unit 1: Exploring One-Variable Data
Chapter 1: Data Analysis
Chapter 2: Modeling Distributions of Quantitative Data
Unit 2: Exploring Two-Variable Data
Chapter 3: Exploring Two-Variable Quantitative Data
Unit 3: Collecting Data
Chapter 4: Collecting Data
Unit 4: Probability, Random Variables, and Probability Distributions
Chapter 5: Probability
Chapter 6: Random Variables and Probability Distributions
Unit 5: Sampling Distributions
Chapter 7: Sampling Distributions
Unit 6: Inference for Categorical Data: Proportions
Chapter 8: Estimating Proportions with Confidence
Chapter 9: Testing Claims about Proportions
Unit 7: Inference for Quantitative Data: Means
Chapter 10: Estimating Means with Confidence
Chapter 11: Testing Claims about Means
Unit 8: Inference for Categorical Data: Chi-Square
Unit 9: Inference for Quantitative Data: Slopes
Chapter 12: Inference for Distributions and Relationships
UPDATED Version of The Practice of Statistics
Sixth Edition| 2020
Daren S. Starnes; Josh Tabor
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Daren Starnes
Daren Starnes has taught a variety of statistics courses — including Introductory Statistics, AP® Statistics, and Mathematical Statistics — for 25 years. He earned his MA in mathematics from the University of Michigan and his BS in mathematics from the University of North Carolina at Charlotte. Daren has been a Reader, Table Leader, and Question Leader for the AP® Statistics exam for over 20 years. As a College Board consultant since 1999, Daren has led hundreds of workshops for AP® Statistics teachers throughout the United States and overseas. He frequently presents in-person and online sessions about statistics teaching and learning for high school and college faculty. Daren is an active member of the American Statistical Association (ASA), the National Council of Teachers of Mathematics (NCTM), the American Mathematical Association of Two-Year Colleges (AMATYC), and the International Association for Statistical Education (IASE). He served on the ASA/NCTM Joint Committee on the Curriculum in Statistics and Probability for six years. While on the committee, he edited the Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report: A Pre-K–12 Curriculum Framework report. Daren is coauthor of The Practice of Statistics (now in its seventh edition), the best-selling textbook for AP® Statistics, and of Statistics and Probability with Applications (now in its fourth edition), a popular choice for high school introductory statistics. Daren and his wife Judy enjoy traveling, rambling walks, jigsaw puzzles, and spending time with their three sons and seven grandchildren.
Josh Tabor
Josh Tabor has enjoyed teaching Introductory and AP® Statistics for more than 26 years. He received a BS in mathematics from Biola University, in La Mirada, California. In recognition of his outstanding work as an educator, Josh was named one of five finalists for Arizona Teacher of the Year in 2011. He is a past member of the AP® Statistics Development Committee (2005–2009), as well as an experienced Table Leader, Question Leader, and Exam Leader at the AP® Statistics Reading. In 2013, Josh was named to the SAT® Mathematics Development Committee. Josh is a member of the American Statistical Association (ASA) and was a reviewer for the ASA’s Pre-K–12 Guidelines for Assessment and Instruction in Statistics Education II (GAISE II). Each year, Josh leads many workshops and frequently speaks at local, national, and international conferences. In addition to teaching and speaking, he has authored articles in The American Statistician, The Mathematics Teacher, STATS Magazine, and The Journal of Statistics Education. Josh is coauthor of The Practice of Statistics (now in its seventh edition), the best-selling textbook for AP® Statistics, and of Statistics and Probability with Applications (now in its fourth edition), a popular choice for high school introductory statistics. Combining his love of statistics and sports, Josh teamed with Christine Franklin to write Statistical Reasoning in Sports, an innovative textbook for statistical literacy courses. Outside of work, Josh enjoys gardening, traveling, and playing board games with his family.
UPDATED Version of The Practice of Statistics
SixthEdition| 2020
Daren S. Starnes; Josh Tabor
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Daren S. Starnes; Josh Tabor | SixthEdition | ©2020 | ISBN:9781319269357The Practice of Statistics is the most trusted program for AP® Statistics because it provides teachers and students with everything they need...
UPDATED Teacher's Edition for The Practice of Statistics
Daren S. Starnes; Josh Tabor | SixthEdition | ©2020 | ISBN:9781319269326The Practice of Statistics is the most trusted program for AP® Statistics because it provides teachers and students with everything they need...
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Daren S. Starnes; Josh Tabor | SixthEdition | ©2020 | ISBN:9781319269371The Practice of Statistics is the most trusted program for AP® Statistics because it provides teachers and students with everything they need...
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UPDATED Version of The Practice of Statistics
Sixth Edition| 2020
Daren S. Starnes; Josh Tabor
UPDATED Version of The Practice of Statistics
Sixth Edition| 2020
Daren S. Starnes; Josh Tabor
Videos
Introduction to SaplingPlus
This video explains the value of Bedford, Freeman & Worth's SaplingPlus platform for teachers and students.