ap statistics 6 2 homework answers

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.

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.

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

• AP Statistics Summer Assignment (Introduction to Chapter 1)
• AP Class Notes and HW Answers
• Algebra I Assignment Sheets
• Algebra 1 Notes and Review Answer Keys
• Honors Algebra I Assignment Sheets
• Honors Notes and Review Answer Keys
• Honors Algebra 1 Summer Assignment

AP Chapter 6 (TPS4e)

Text Book Reading AP Ch6 Guided Notes for Reading Textbook (TPS4e )     <–word document AP Ch6 Guided Notes for Reading Textbook (TPS4e )    <–PDF-FORMAT AP Stats Chapter 6 – Glossary of Important Definitions

Notes AP Stats Chapter 6 PowerPoint (TPS4e) 6.1 Activity (ANSWER KEY) 6.2A Activity “Transforming Linear RVs” (ANSWER KEY) 6.2B Activity “Combining RVs” (ANSWER KEY) 6.3B Binomial Graphing Activity (ANSWER KEY) 6.3B2 Binomial Sample Problems Activity (ANSWER KEY) 6.3C Sampling without Replacement Activity (ANSWER KEY) 6.3N Normal Approximation Activity (ANSWER KEY 2020)

6.3G2 Geometric Activity #2 (2022 KEY)

• 6.3G Geometric Graphing Activity (ANSWER KEY)

HW Assignment Sheet(s)

• AP Stats Chapter 6 Assignments (2023))

HW Answer keys

• AP Stats HW 6.1 answers (TPS4e)
• AP Stats HW 6.2 answers (TPS4e)  
• AP Stats HW 6.3 answers (TPS4e)
• AP Stats HW 6.3(#’s 92-94) answers (TPS4e)
• AP Stats HW Review – problem R6.4 (2023 key)
• AP Stats AP Practice Test 6 answers (TPS4e)
• Answers to Multiple Choice problems: AP Stats Ch6 Multiple Choice answers (TPS4e)
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AP Statistics

Learn all about the course and exam. Already enrolled? Join your class in My AP.

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Go to AP Central for resources for teachers, administrators, and coordinators.

About the Course

Statistics are a part of everyday life. You can see them in AI models, news polls, popular music rankings, and medical research. Discover how the statistics you see every day are developed and learn how to evaluate their credibility for yourself in AP Statistics.

Skills You'll Learn

Selecting methods for collecting or analyzing data

Describing patterns, trends, associations, and relationships in data

Using probability and simulation to describe probability distributions and define uncertainty in statistical inference

Using statistical reasoning to draw appropriate conclusions and justify claims

Equivalency and Prerequisites

College course equivalent.

A one-semester, introductory, non-calculus-based college course in statistics

Recommended Prerequisites

A second-year course in algebra

Thu, May 8, 2025

AP Statistics Exam

This is the regularly scheduled date for the AP Statistics Exam.

About the Units

The course content outlined below is organized into commonly taught units of study that provide one possible sequence for the course. Your teacher may choose to organize the course content differently based on local priorities and preferences.

Course Content

Unit 1: exploring one-variable data.

You’ll be introduced to how statisticians approach variation and practice representing data, describing distributions of data, and drawing conclusions based on a theoretical distribution.

Topics may include:

• Variation in categorical and quantitative variables
• Representing data using tables or graphs
• Calculating and interpreting statistics
• Describing and comparing distributions of data
• The normal distribution

On The Exam

15%–23% of Score

Unit 2: Exploring Two-Variable Data

You’ll build on what you’ve learned by representing two-variable data, comparing distributions, describing relationships between variables, and using models to make predictions.

• Comparing representations of 2 categorical variables
• Calculating statistics for 2 categorical variables
• Representing bivariate quantitative data using scatter plots
• Describing associations in bivariate data and interpreting correlation
• Linear regression models
• Residuals and residual plots
• Departures from linearity

5%–7% of Score

Unit 3: Collecting Data

You’ll be introduced to study design, including the importance of randomization. You’ll understand how to interpret the results of well-designed studies to draw appropriate conclusions and generalizations.

• Planning a study
• Sampling methods
• Sources of bias in sampling methods
• Designing an experiment
• Interpreting the results of an experiment

12%–15% of Score

Unit 4: Probability, Random Variables, and Probability Distributions

You’ll learn the fundamentals of probability and be introduced to the probability distributions that are the basis for statistical inference.

• Using simulation to estimate probabilities
• Calculating the probability of a random event
• Random variables and probability distributions
• The binomial distribution
• The geometric distribution

10%–20% of Score

Unit 5: Sampling Distributions

As you build understanding of sampling distributions, you’ll lay the foundation for estimating characteristics of a population and quantifying confidence.

• Variation in statistics for samples collected from the same population
• The central limit theorem
• Biased and unbiased point estimates
• Sampling distributions for sample proportions
• Sampling distributions for sample means

7%–12% of Score

Unit 6: Inference for Categorical Data: Proportions

You’ll learn inference procedures for proportions of a categorical variable, building a foundation of understanding of statistical inference, a concept you’ll continue to explore throughout the course.

• Constructing and interpreting a confidence interval for a population proportion
• Setting up and carrying out a test for a population proportion
• Interpreting a p-value and justifying a claim about a population proportion
• Type I and Type II errors in significance testing
• Confidence intervals and tests for the difference of 2 proportions

Unit 7: Inference for Quantitative Data: Means

Building on lessons learned about inference in Unit 6, you’ll learn to analyze quantitative data to make inferences about population means.

• Constructing and interpreting a confidence interval for a population mean
• Setting up and carrying out a test for a population mean
• Interpreting a p-value and justifying a claim about a population mean
• Confidence intervals and tests for the difference of 2 population means

10%–18% of Score

Unit 8: Inference for Categorical Data: Chi-Square

You’ll learn about chi-square tests, which can be used when there are two or more categorical variables.

• The chi-square test for goodness of fit
• The chi-square test for homogeneity
• The chi-square test for independence
• Selecting an appropriate inference procedure for categorical data

2%–5% of Score

Unit 9: Inference for Quantitative Data: Slopes

You’ll understand that the slope of a regression model is not necessarily the true slope but is based on a single sample from a sampling distribution, and you’ll learn how to construct confidence intervals and perform significance tests for this slope.

• Confidence intervals for the slope of a regression model
• Setting up and carrying out a test for the slope of a regression model
• Selecting an appropriate inference procedure

Credit and Placement

Search AP Credit Policies

Find colleges that grant credit and/or placement for AP Exam scores in this and other AP courses.

Course Resources

Ap classroom resources.

Once you join your AP class section online, you’ll be able to access AP Daily videos, any assignments from your teacher, and your assignment results in AP Classroom. Sign in to access them.

• Go to AP Classroom

AP Statistics Course and Exam Description

This is the core document for the course. It clearly lays out the course content and describes the exam and the AP Program in general.

See Where AP Can Take You

AP Statistics can lead to a wide range of careers and college majors

Additional Information

• AP Statistics Syllabus
• AP Statistics PowerPoints
• AP Statistics Additional Notes

AP Statistics Answers

Unit 1 answers.

• Homework Unit 1 – 1st part
• Homework Unit 1 – 2nd part
• Homework Unit 1 – 3rd part

Unit 2 Answers

• Unit 2 Homework – Part 1
• Unit 2 Homework – Part 2
• Unit 2 Homework – Part 3
• Unit 2 Homework – Part 4

Unit 3 Answers

• Chapter 5, Section 1
• Chapter 5, Section 2
• Chapter 5, Section 3
• Chapter 5 answers

Unit 4 Answers

• Go to google classroom

Unit 5 Answers

• TRM-Section 8.1 Full Solutions
• TRM-Section 8.2 Full Solutions
• TRM-Section 8.3 Full Solutions

Unit 6 Answers

• Homework Unit 6 – 2019-2020

Unit 7 Answers

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ounces of water in a bottle

The mean becomes zero.

0.67, right

about 68 percent

about 4 percent

between –5 and –1

about 50 percent

about 27 percent

The lifetime of a Sunshine CD player measured in years

P ( x < 1)

Yes, because they are the same in a continuous distribution: P ( x = 1) = 0

1 – P ( x < 3) or P ( x > 3)

1 – 0.543 = 0.457

• Check student’s solution
• 0.70, 4.78 years
• Use the z -score formula. z = –0.5141. The height of 77 inches is 0.5141 standard deviations below the mean. An NBA player whose height is 77 inches is shorter than average.
• Use the z -score formula. z = 1.5424. The height 85 inches is 1.5424 standard deviations above the mean. An NBA player whose height is 85 inches is taller than average.
• Height = 79 + 3.5(3.89) = 90.67 inches, which is over 7.7 feet tall. There are very few NBA players this tall; so, the answer is no, not likely.
• Kyle’s blood pressure is equal to 125 + (1.75)(14) = 149.5.

Let X = an SAT math score and Y = an ACT math score.

• X = 720 720 – 520 15 720 – 520 15 = 1.74 The exam score of 720 is 1.74 standard deviations above the mean of 520.
• z = 1.5 The math SAT score is 520 + 1.5(115) ≈ 692.5. The exam score of 692.5 is 1.5 standard deviations above the mean of 520.
• X  –  μ σ X  –  μ σ = 700 – 514 117 700 – 514 117 ≈ 1.59, the z -score for the SAT. Y  –  μ σ Y  –  μ σ = 30  –  21 5.3 30  –  21 5.3 ≈ 1.70, the z -scores for the ACT. With respect to the test they took, the person who took the ACT did better—has the higher z -score).
• X ~ N (66, 2.5)
• No, the probability that an Asian male is over 72 inches tall is 0.0082.
• X ~ N (36, 10)
• The probability that a person consumes more than 40 percent of their calories as fat is 0.3446.
• Approximately 25 percent of people consume less than 29.26 percent of their calories as fat.
• X = number of hours that a Chinese four-year-old in a rural area is unsupervised during the day.
• X ~ N (3, 1.5)
• The probability that the child spends less than one hour a day unsupervised is 0.0918.
• The probability that a child spends over 10 hours a day unsupervised is less than 0.0001.
• X = the distribution of the number of days a particular type of criminal trial will take
• X ~ N (21, 7)
• The probability that a randomly selected trial will last more than 24 days is 0.3336.
• mean = 5.51, s = 2.15
• Check student's solution.
• X ~ N (5.51, 2.15)
• The cumulative frequency for less than 6.1 minutes is 0.64.
• The answers to part f and part g are not exactly the same, because the normal distribution is only an approximation to the real one.
• The answers to part f and part g are close, because a normal distribution is an excellent approximation when the sample size is greater than 30.
• The approximation would have been less accurate, because the smaller sample size means that the data does not fit a normal curve as well.
• mean = 60,136 s = 10,468
• Answers will vary
• X ~ N (60136, 10468)
• The cumulative relative frequency is 43/60 = 0.717.
• The answers for part f and part g are not the same because the normal distribution is only an approximation.
• n = 100; p = 0.1; q = 0.9
• μ = np = (100)(0.10) = 10
• σ = n p q n p q = (100)(0 .1)(0 .9) (100)(0 .1)(0 .9) = 3
• z = ±1: x 1 = µ + zσ = 10 + 1(3) = 13 and x 2 = µ – zσ = 10 – 1(3) = 7. 68 percent of the defective cars will fall between seven and 13
• z = ±2: x 1 = µ + zσ = 10 + 2(3) = 16 and x 2 = µ – zσ = 10 – 2(3) = 4. 95 percent of the defective cars will fall between four and 16
• z = ±3: x 1 = µ + zσ = 10 + 3(3) = 19 and x 2 = µ – zσ = 10 – 3(3) = 1. 99.7 percent of the defective cars will fall between one and 19
• n = 190; p = 1 5 1 5 = 0.2; q = 0.8
• μ = np = (190)(0.2) = 38
• σ = n p q n p q = (190)(0 .2)(0 .8) (190)(0 .2)(0 .8) = 5.5136
• For this problem: P (34 < x < 54) = normalcdf(34,54,48,5.5136) = 0.7641
• For this problem: P (54 < x < 64) = normalcdf(54,64,48,5.5136) = 0.0018
• For this problem: P ( x > 64) = normalcdf(64,10 99 ,48,5.5136) = 0.0000012 (approximately 0)

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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/6-solutions

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