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MATH302 - Statistics

Course Details

Course Code: MATH302 Course ID: 3291 Credit Hours: 3 Level: Undergraduate

This is an interactive course designed to help students achieve a greater understanding of the statistical methods and models available to analyze and solve the wide variety of problems encountered in business, science, medicine, education, the social sciences, and other disciplines. Successful completion of this course will provide students with a working knowledge of the principles of both descriptive and inferential statistics, probability, averages and variations, normal probability distributions, sampling distributions, confidence intervals, statistical hypothesis tests, and correlation and regression analyses. The emphasis of the course will be on the proper use of statistical techniques and their application in real life -- not on mathematical proofs. This course will use Microsoft Excel for some of the work. Students should have a basic familiarity with Excel and have access to this software application. MATH120 is the recommended mathematics general education course for students who will be required to take additional statistics courses such as MATH302 Statistics as part of their program of study. (Prerequisites: MATH110, MATH111, MATH120, or MATH225)


Course Schedule

Registration Dates Course Dates Session Weeks
05/21/21 - 10/29/21 11/01/21 - 12/26/21 Fall 2021 Session I 8 Week session
06/28/21 - 12/03/21 12/06/21 - 01/30/22 Fall 2021 Session D 8 Week session
07/27/21 - 12/31/21 01/03/22 - 02/27/22 Winter 2022 Session B 8 Week session
08/31/21 - 02/04/22 02/07/22 - 04/03/22 Winter 2022 Session I 8 Week session
09/28/21 - 03/04/22 03/07/22 - 05/01/22 Winter 2022 Session D 8 Week session
10/26/21 - 04/01/22 04/04/22 - 05/29/22 Spring 2022 Session B 8 Week session

Current Syllabi

After completing the course, the student should be able to:

CO-1. Distinguish meaningful statistics from those that are not meaningful.

CO-2. Categorize data by type.

CO-3. Organize data into tabular form.

CO-4. Represent data using frequency distributions, histograms, frequency polygons, ogives, bar charts, Pareto charts, time series graphs, pie charts, box plots, stem and leaf , and other statistical displays..

CO-5. Compute measures of central tendency and measures of variance for quantitative data.

CO-6. Explain basic probability theory.

CO-7. Examine the outcomes in a sample space using various counting techniques.

CO-8. Use the properties of different types of distributions, such as normal, uniform, and binomial to solve problems.

CO-9. Compute the mean, variance, and standard deviation of a random variable using the concept of expected value .

CO-10.Compute confidence interval estimates for various population parameters. CO-11.Determine the type of hypothesis test to use for different types of data.

CO-12.Conduct hypothesis testing procedures for the population mean, the population proportion, the population variance, the population standard deviation, and for the differences between population parameters.

CO-13.Use linear regression to model the relationship between two variables.

CO-14.Predict the value of a response variable for a given level of an explanatory variable using linear regression.

CO-15.Perform Chi-Square tests to determine the goodness of fit of data, the independence of variables, and the homogeneity of population proportions.

Staying on task and adhering to the published schedule are typically among the most challenging aspects of completing an academic course successfully. This is especially true for online and part-time non-resident programs. To avoid the pitfall of falling behind, students in this course should complete the assigned readings and the assignments, in a timely manner.

Student grades for the course will be based on participation in the 8 forums, 8 graded Knowledge Check Homework assignments, 8 graded Tests, 8 Test Critiques, a final project and the APUS Honor Code.

Class Participation: Naturally, I value punctuality, familiarity with the required readings, and classroom questions or comments that are relevant and insightful. Whether helping someone understand a point, seeking clarification of a concept you may not completely understand, or contributing to the positive flow of the class discussion based on your experience, it is important for you to realize that learning is an action process—and sharing is a key ingredient in undertaking that process successfully. Therefore, I urge you to participate actively and do your best to contribute to a positive and effective learning environment--for yourself and others.

I urge you to utilize the Question and Answer Forum to interact with your classmates. If while working through examples or problems and you have a question or a comment, please post the question or comment in the Question and Answer Forum. Naturally, I hope that question and answers posted in the Question and Answer Forum will facilitate interactions among the members of our class. But remember DO NOT give away any answers.

Your first required Forum post is the week 1 Introduction and Collecting Data Forum. The initial must be completed by 11:55PM Eastern Time on Thursday during the first week of our course.

I will evaluate your responses to the Forums using a 10-point scale, and your contribution to each of the Forums will count as 1.25 percent of the overall course grade, for a total of 10%. My evaluation of your participation in our forums will be based on the extent to which you participated and fostered a positive and effective learning environment--for yourself and others. Participating and sharing are the keys. If you wish to continue to discuss a topic posed in a Forum that has been locked, you can certainly do so by using the Message tool or the Q&A Forum to interact with the other members of our course.

The Week 1 Introduction and Collecting Data Forum: During the first week of class each student must make a post to the Week 1 Introduction and Collecting Data Forum. You are to use this Forum to introduce yourself and answer the questions presented to you in the Forum. You are required to make a post to the Week 1 Introduction and Collecting Data Forum in order to complete your enrollment in the course. Your post must be at least 250 words, and you must complete it by the end of the first week. This is a university requirement.

Homework: The 8 graded Knowledge Check Homework assignments are dispersed throughout the course. Each homework will count as 3% of the course grade, for a total of 24% of your grade. The homework is hosted in the Tests&Quizzes tab. You have 5 hours to work complete each attempt on the homework assignment. You get a total of 4 attempts on each homework assignment. There is no deadline for the homework assignments. All homework assignments are officially due the last day of the term. You can go back and work on the homework assignments all semester to earn a 100%. It is encouraged to keep up with the assignments, as this will help you on the weekly tests, but they are not officially due until the end of the semester. The grades on the Knowledge Check Homework will transfer to the Grade Book as soon as you click Submit.

Tests: The 8 graded Tests are dispersed throughout the course. Each test will count as 5% of the course grade, for a total of 40% of your grade. Generally, the tests will contain problems similar to those discussed in the Knowledge Check Homework problems. However, you should expect to be challenged by the graded exercises. Tests will be conducted as indicated on the course schedule and students are expected to complete them on time. No late submissions will be accepted. You do get two attempts at each Test but both attempts must be taken during the current week. No late Tests will be accepted.

Specific instructions will be provided for each Test in the Lessons section of our classroom at the outset of the week. Each of these graded exercises is to be completed on an individual basis. You may consult published textbooks, articles, and other printed materials. However, no collaboration is permitted on the homework or tests. You are not to discuss, orally, in print—in any manner—any aspect of the graded exercises with anyone other than your instructor. Clearly, student-teacher relationships are built on trust. This is especially true in the case of an online course. For example, students must trust that teachers have made appropriate decisions about the structure and content of the courses they teach, and teachers must trust that students complete assignments as directed. Acts that violate this trust undermine the educational process and compromise the integrity of the perpetrator. Don’t cheat. Don’t compromise your integrity. To do so invalidates the very purpose which likely motivated you to undertake this course—to learn, to become a better decision maker, to broaden your perspective, and to increase your skill set.

The Tests are located in the Tests&Quizzes tab. You have 2 and a half hours to complete each test. Your answers must be submitted by the 11:59 PM Eastern Standard Time, as indicated in the syllabus. I will not accept late submissions. So, please don’t wait until the last minute to submit your answers to the Test. The grades on the Test will transfer to the Grade Book as soon as you click Submit.

Test Critiques: After you review your answers on the Test you need to submit a Test Critique in the Assignments tab. The Test Critique is due by Sunday at 11:59 PM EST. You get two attempts at the Test, but you only need to submit one Test Critique. Even if you took the test twice. There are 8 Test Critiques due in this course. Each one is worth 1.25% for a total of 10% of your grade. This is an easy way to earn 10% in the course and it can boost your final score an entire letter grade.

Final Project: This final project is worth 15% of your grade. The project will open up on Friday of Week 6 and is due the last day of the course at 11:59 PM EST. A detailed description of the project is located in the Assignments tab. This will need to be written up in a Word document using proper mathematical notation. It will be submitted through Turn It In.

The notations used in statistical work aren't found in many word processing programs, making it difficult to produce many of the symbols used in our course. You may wish to use the Symbol font in Microsoft Word and the Insert/Object/Microsoft Equation feature in Word when preparing documents related to our course. Insert/Symbol is also sometimes useful. Of course, you will also want to familiarize yourself with the Insert/Edit Equation feature contained in the Rich Text Editor that is available in the Rich Text Editor toolbar in our classroom. Additionally, since many of the computations and analyses required in our course can be easily carried out using Microsoft Excel, you may wish to familiarize yourself with the process whereby Excel outputs can be copied and pasted into a Word or pdf file.

Students’ final grades will be posted within 7 days of the end of the semester. Students should not telephone the university looking for grades until at least 30 days after the end of the semester.

Please see the Student Handbook to reference the University’s grading scale. Grades for the course will be based on the following.

NameGrade %
Forums 10.00 %
Week 1 Forum 1.25 %
Week 2 Forum 1.25 %
Week 3 Forum 1.25 %
Week 4 Forum 1.25 %
Week 5 Forum 1.25 %
Week 6 Forum 1.25 %
Week 7 Forum 1.25 %
Week 8 Forum 1.25 %
Knowledge Check Homework 24.00 %
Week 1 Knowledge Check Homework Practice Questions 3.00 %
Week 2 Knowledge Check Homework Practice Questions 3.00 %
Week 3 Knowledge Check Homework Practice Questions 3.00 %
Week 4 Knowledge Check Homework Practice Questions 3.00 %
Week 5 Knowledge Check Homework Practice Questions 3.00 %
Week 6 Knowledge Check Homework Practice Questions 3.00 %
Week 7 Knowledge Check Homework Practice Questions 3.00 %
Week 8 Knowledge Check Homework Practice Questions 3.00 %
Tests 40.00 %
Week 6 Test 5.00 %
Week 1 Test 5.00 %
Week 2 Test 5.00 %
Week 3 Test 5.00 %
Week 4 Test 5.00 %
Week 5 Test 5.00 %
Week 7 Test 5.00 %
Week 8 Test 5.00 %
Assignments 10.00 %
Test 1 Critique 1.25 %
Test 2 Critique 1.25 %
Test 3 Critique 1.25 %
Test 4 Critique 1.25 %
Test 5 Critique 1.25 %
Test 6 Critique 1.25 %
Test 7 Critique 1.25 %
Test 8 Critique 1.25 %
Final Project 15.00 %
Math 302 Final Project 15.00 %
APUS Honor Code 1.00 %
APUS Honor Code and Pledge 1.00 %

Resources are provided for you in the Lessons tab, the Announcements, Stat Short Cut, weekly videos and Handy Help PDFs. The Knowledge Check Homework assignments and Tests are located in the Tests&Quizzes tab. There is not a physical book for this course. All the material is provided to you electronically.

I will utilize Excel to perform many of the computations in our course. Microsoft Excel is required for this course. Students should have a basic familiarity with Excel and must have access to the 2007 or later version of this software application.

In addition, if you want to search for additional help, here are some good places to start your search!

Website: APUS YouTube Videos
URL: YouTube Tutorials

(You will want to scroll through the APUS Youtube channel. There are a lot of statistics videos through the channel but there isn't a playlist for all of them.)

Website: PurpleMath

Video Website:

Video Wedsite: Khan Academy

Website: Stat-Soft Supplemental Textbook


Website: Hyper Stat Online


Website: Dr. Math

URL: []

Videos for our course are located at

Website: Online Calculator

Book Title:There are no required books for this course. The readings are provided inside the classroom.
Author: No Author Specified

Previous Syllabi

Not current for future courses.