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# AP® Statistics, Part 2 (MTH510B)

## Quick Overview

This course is the equivalent of an introductory college-level course. Statistics - the art of drawing conclusions from imperfect data and the science of real-world uncertainties - plays an important role in many fields. Students collect, analyze, graph, and interpret real-world data. They learn to design and analyze research studies by reviewing and evaluating examples from real research. This is the second semester of MTH510.

Teacher-Led Course (one-time payment)   \$450.00

#### Monthly Fees: Due Today:

Price as configured: \$0.00

## Course Overview

This course is the equivalent of an introductory college-level course. Statistics, the art of drawing conclusions from imperfect data and the science of real-world uncertainties, plays an important role in many fields. Students collect, analyze, graph, and interpret real-world data. They learn to design and analyze research studies by reviewing and evaluating examples from real research. Students prepare for the AP Exam and for further study in science, sociology, medicine, engineering, political science, geography, and business. This is the second semester of MTH510.

## Course Outline

### SEMESTER ONE

#### Unit 1: Describing Data

Students take a pre-course assessment to be sure they are ready for the challenge of AP Statistics. They explore what statistics is, how it can be used, and how it's misused. They learn some basic statistics terminology, and look at the difference between counts and measures and the difference between descriptive and inferential statistics.

• What Is Statistics?
• Displaying Distributions with Graphs
• Describing Distributions Using Numbers
• Five-Number Summaries
• More on Describing Distributions

#### Unit 2: The Normal Distribution

Students learn about the normal distribution and the normal curve, a display of a normal distribution on a graph; the normal curve presents the normal distribution in a form that statisticians can use as a tool in inferential statistics. This unit addresses items in Topic III (The normal distribution) in the College Board's AP Statistics topic outline.

• Introduction to the Normal Distribution
• Standardized Scores
• Determining If a Data Set Is Normal

#### Unit 3: Bivariate Data

Students learn how statistics can be used to study how one variable affects another, for instance, do people who spend more years in school earn more money? Do people who take an experimental drug suffer fewer heart attacks? To answer questions like these, researchers need to gather data on two variables and then examine the data to see how the variables might be related. This unit addresses items in Topic I (Exploring bivariate data; Exploring categorical data: frequency tables) in the College Board's AP Statistics topic outline.

• Introduction to Bivariate Data
• The Least-Squares Regression Line
• The Correlation Coefficient
• Influential Points and Outliers
• Transformations to Achieve Linearity
• Categorical Bivariate Data: Two-Way Tables

#### Unit 4: Planning a Study

Students look at some of the most important issues in data gathering. They learn how this can make them smarter consumers of data; when they hear or read about studies, they will be able to determine whether or not they are valid. This unit addresses Topic II (Planning a Study) in the College Board's AP Statistics topic outline.

• Methods of Data Collection: Experiments and Studies
• Methods of Data Collection: Surveys

#### Unit 5: Probability

Students look at probability, which is vital for inferential statistics. They determine how likely it is that a sample really represents the population as a whole through proper sampling techniques and the laws of probability. This unit addresses items in Topic III (Law of large numbers; Addition rule, multiplication rule, conditional probability, and independence; Discrete random variables; Mean and standard deviation of a random variable) in the College Board's AP Statistics topic outline. Students review what they have learned and take the semester exam.

• What Is Probability?
• Introduction to the Basic Rules of Probability
• More on Conditional Probabilities and the Probabilities of Combined Events
• Probability Distributions
• Means and Variances of Random Variables
• Review and Exam

### SEMESTER TWO

#### Unit 1: Binomials and Distributions

Students start to work with sampling distributions, which are distributions of possible sample means. This unit addresses items in Topic III (Sampling distribution of a sample proportion; Sampling distribution of a sample mean; Central Limit Theorem) in the College Board's AP Statistics topic outline.

• Introduction to Inferential Statistics
• Binomial Distributions
• Geometric Distribution
• Sampling Distributions: Means and Proportions

#### Unit 2: Introduction to Inference

Students look at concepts of sampling, probability, and distributions and are introduced to processes that researchers use to do statistical inference. This unit addresses items in Topic IV (The meaning of a confidence interval; Large sample confidence interval for a mean; Logic of significance testing; Large sample test for a mean) in the College Board's AP Statistics topic outline.

• Confidence Intervals for Means
• Statistical Significance and P-Value
• Significance and Hypothesis Testing: Means
• Errors in Hypothesis Testing

#### Unit 3: t Distribution for Means

Students review and reinforce many concepts that they may already know about statistical inference, learning a new dimension that's vital to anyone doing inferential statistics in the real world. This unit addresses items in Topic IV (Large sample confidence interval for a difference between two means; t distribution; Single-sample t procedures; Two-samplet procedures) in the College Board's AP Statistics topic outline.

• Confidence Intervals and Hypothesis Testing for a Single Mean
• Confidence Intervals for the Difference between Two Means
• Confidence Intervals and Hypothesis Tests for Two Independent Samples

#### Unit 4: Inference for Proportions

Students learn the basics of how to infer a population proportion based on a sample. This unit addresses items in Topic IV (Confidence intervals and significance tests for proportions and the differences between two proportions) in the College Board's AP Statistics topic outline.

• Confidence Intervals and Hypothesis Tests for a Single Population Proportion
• The Difference between Two Proportions

#### Unit 5: Inference for Tables and Least-Squares

Students build on what they've learned about analyzing bivariate sample data. They go beyond looking at the sample and make inferences about the population. This unit addresses items in Topic IV (Statistical Inference: Confirming Models) in the College Board's AP Statistics topic outline.

• One-Way Tables: Chi-Square for Goodness-of-Fit
• Two-Way Tables: Chi-Square for Association or Independence
• Inference for the Least-Squares Line

#### Unit 6: Final Preparation for the AP Statistics Exam

Students review what they have learned and take the final exam.

• General Preparation Strategies
• Strategies and Practice for Multiple-Choice and Free-Response Questions
• Putting It Together: Practice Exam and Mixed Practice
• Final Exam

Course Length 4 Months
Prerequisites N/A
Course Materials No
Course Start Date

### Courses Taught by a K12 Teacher

Courses with a teacher have designated start dates throughout Fall, Spring, and Summer. Full-year courses last 10 months and semester courses last 4 months. Courses are taught by teachers in K12 International Academy. For details on start dates, click here.

Teacher Assisted Yes, this course is taught by a K12 International Academy teacher. If you are looking for a teacher-supported option with additional flexibility and year-round start dates, click here to learn about the Keystone School, another K12 online private schooling option.
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To use this course, you'll need a computer with an Internet connection.  Some courses require additional free software programs, which you can download from the Internet.

## Hardware and Browsers (Minimum Recommendations)

#### Windows OS

• CPU: 1.8 GHz or faster processor (or equivalent)

• RAM: 1GB of RAM

• Browser: Microsoft Internet Explorer 9.0 or higher, Mozilla Firefox 10.0 versions or higher, Chrome 17.0 or higher

• At this time our users are encouraged not to upgrade to Windows 10 or Edge (the new browser)

#### Mac OS

• CPU: PowerPC G4 1 GHz or faster processor; Intel Core Duo 1.83 GHz or faster processor

• RAM: 1GB of RAM

• Browser: Firefox 10.0 versions or higher, Chrome 17.0 or higher (Safari is not supported!)

Internet Connections

It is highly recommended that a broadband connection be used instead of dial up.