Elementary Statistics

I.     Course Prefix/Number: MAT 131

       Course Name: Elementary Statistics

       Credits: 4 (4 lecture; 0 lab)

II.    Prerequisite

MAT 110 or the equivalent with minimum grade of C, or appropriate score on Mathematics Placement Test.

III.   Course (Catalog) Description

This course introduces statistics for students in physical, biological and social sciences. Content includes frequency distributions; measures of central tendency and variation; elements of probability theory; statistical inference, sampling techniques and correlation, regression and ANOVA.

IV.   Learning Objectives

  1. Use descriptive statistical techniques to analyze data and interpret results.
  2. Calculate and interpret probabilities, various probability models and their statistics.
  3. Apply the Central Limit Theorem to solve problems involving the distribution of sample means.
  4. Generate confidence intervals and hypotheses, and use these to perform and interpret hypothesis tests of various types.
  5. Calculate and interpret the correlation coefficients and regression lines and their statistical significance.

V.    Academic Integrity and Student Conduct

Students and employees at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

• cheating,
• plagiarism (turning in work not written by you, or lacking proper citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• unauthorized changes on official documents,
• pretending to be someone else or having someone else pretend to be you,
• making or accepting bribes, special favors, or threats, and
• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Please review the Code of Academic Conduct and the Code of Student Conduct, both located online at
www.oakton.edu/studentlife/student-handbook.pdf

VI.   Sequence of Topics

A. Descriptive Statistics
 1. Data Collection
 2. Organizing data into frequency distributions
 3. Graphing histograms and ogives
 4. Measures of Central Tendency - mean, median, mode
 5. Measures of variation: variance, standard deviation
 6. Measures of position

B. Basic Probability Theory
 1. Sample space and counting techniques including combinations
 2. Complements
 3. The Addition rule
 4. Independence and the Multiplication rule

C. Probability Distributions
 1. Normal distribution and normal curve
 2. Binomial distribution and its relation to the normal distribution
 3. The Central Limit Theorem

D. Statistical Inference
 1. Estimation
 2. The classical appropriate to hypothesis testing
 3. The probability - value approach to hypotheses testing
 4. Inferences involving one population with regard to means, standard deviation or variance, and proportions
 5. Inferences involving two populations with regards to means, standard deviation or variance, and proportions
 6. Coefficient of correlation and regression lines
 7. Goodness of Fit test and Chi Squared test for Independence
 8. ANOVA

VII.  Methods of Instruction

(To be completed by instructor.)

Methods of presentation can include lectures, discussion, demonstration, experimentation, audio-visual aids, group work, and regularly assigned homework. Calculators / computers will be used when appropriate.
Course may be taught as face-to-face, hybrid or online course.

VIII. Course Practices Required

(To be completed by instructor.)

IX.   Instructional Materials

Note: Current textbook information for each course and section is available on Oakton's Schedule of Classes.

Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".

Textbooks can also be found at our Mathematics Textbooks page: 

http://www.oakton.edu/academics/academic_departments/math/syllabi

A graphing calculator is required. A TI-83/84 will be used for instructional purposes

X.    Methods of Evaluating Student Progress

(To be completed by instructor.)

Evaluation methods can include assignments, quizzes, chapter or major tests, individual or group projects, computer assignments and/or a final examination.

XI.   Other Course Information



If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Oakton Community College is committed to maintaining a campus environment emphasizing the dignity and worth of all members of the community, and complies with all federal and state Title IX requirements.

Resources and support for
  • pregnancy-related and parenting accommodations; and
  • victims of sexual misconduct
can be found at www.oakton.edu/title9/.

Resources and support for LGBTQ+ students can be found at www.oakton.edu/lgbtq.