# Course Syllabus: Statistics 101

no certificate

with CEU Certificate*

Office Hours: | Continuous |

Course Meeting Times: | Continuous |

### Course Description

This statistics course introduces the basic concepts of statistical analysis, with a focus on both univariate (single-variable) and bivariate (two-variable) data. The course starts with an introduction to statistics terms and then moves on to organization and display of data. Analysis of univariate data by way of measures of central tendency (such as the mean or average), dispersion (such as the variance), and asymmetry ("skewness") is presented next, followed by an introduction to probability theory.

The relationship of probability to statistics is also discussed, providing students with the tools they need to understand how "chance" plays a role in statistical analysis. Statistical distributions, with a focus on the normal distribution and its uses, are also considered, along with a discussion of bivariate data and linear (least-squares) regression. Finally, the course culminates with a low-level introduction to hypothesis testing. Although this last topic could be a course of its own, the student is provided with enough theory and sufficient practice to conduct analyses of simple statistical hypotheses.

The course assumes a minimal understanding of and proficiency in algebra, but many of the concepts can be understood, and even many of the calculations performed, without an extensive mathematical background. This course is designed for anyone who wants a little more than just a cursory overview of statistics, but who doesn't want to get bogged down in the mathematical theory that underlies it.

### Course Requirements

### Course Goals and Objectives

Course Goals:

- Learn basic concepts of statistical analysis that use univariate (single-variable) and bivariate (two-variable) data

- Learn statistics terms

- Learn the organization and display of data

- Learn measures of central tendency, dispersion and skewness

- Learn the basics of probability theory

- Learn about Statistical Distributions

- Learn how to use bivariate data and linear (least-squares) regression

- Learn the basics of hypothesis testing

Course Objectives:

lessons will cover these topics-

1. Statistics terms and motivation

2. Displaying statistical data

3. Measures of central tendency

4. Selecting an appropriate measure of central tendency

5. Measures of dispersion

6. Measures of asymmetry

7. Other statistical measures

8. Introduction to probability I

9. Introduction to probability II

10. Statistical distributions

11. The normal distribution

12. Bivariate data

13. Regression

14. Hypothesis testing I

15. Hypothesis testing II

### Course Materials

No additional course materials required to complete this course.

### Grading Policy

A brief quiz will follow each lesson. Students will successfully complete this course with 70% or better.

## Learning Outcomes

- Define statistics terms.
- Display statistical data.
- Define measures of central tendency.
- Select an appropriate measure of central tendency.
- Define measures of dispersion.
- Describe measures of asymmetry.
- Describe Probability I problems
- Describe and solve Probability II problems.
- Summarize statistical distributions.
- Describe the normal distribution.
- Describe bivariate data.
- Perform regression analysis.
- Describe Hypothesis Testing I and II, and
- Demonstrate mastery of lesson content at levels of 70% or higher.

### Assessment Guide

Introduction | Assignment | 1 |

Lesson 1 Statistics Terms and Motivation | Exam | 10 |

Lesson 2 Displaying Statistical Data | Exam | 9 |

Lesson 3 Exercises | Exam | 6 |

Lesson 3 Measures of Central Tendency | Exam | 7 |

Lesson 4 Selecting an Appropriate Measure of Central Tendency | Exam | 11 |

Lesson 5 Exercises | Exam | 4 |

Lesson 5 Measures of Dispersion | Exam | 10 |

Lesson 6 Measures of Asymmetry | Exam | 9 |

Lesson 7 Exercises | Exam | 4 |

Lesson 7 Other Statistical Measures | Exam | 10 |

Lesson 8 Exercises | Exam | 7 |

Lesson 8 Introduction to Probability I | Exam | 10 |

Lesson 9 Exercises | Exam | 4 |

Lesson 9 Introduction to Probability II | Exam | 10 |

Lesson 10 Exercises | Exam | 3 |

Lesson 10 Statistical Distributions | Exam | 11 |

Lesson 11 Exercises | Exam | 6 |

Lesson 11 The Normal Distribution | Exam | 10 |

Lesson 12 Bivariate Data | Exam | 9 |

Lesson 13 Regression Analysis | Exam | 10 |

Lesson 14 Exercises | Exam | 3 |

Lesson 14 Introduction to Hypothesis Testing I | Exam | 10 |

Lesson 15 Exercises | Exam | 2 |

Lesson 15 Introduction to Hypothesis Testing II | Exam | 10 |

The Final Exam | Exam | 146 |

Total Points: | 332 |

##### Related Articles

- How to Determine Measures of Position (Percentiles and Quartiles)
- Calculating the Mean and Standard Deviation of a Distribution
- What is Probability in Statistics?
- Understanding Probability: How to Calculate the Number of Outcomes
- Introduction to Hypothesis Testing
- Precalculus: How to Calculate Limits for Various Functions
- Solving Systems of Linear Inequalities
- Mathematical Numbers: Natural, Whole, Rational, Irrational, Real, Complex, Integers
- How to Solve Practical Geometry Problems
- Steps for Elicited Requirements in Business Analysis
- Math Skills: How to Do Addition
- How to Calculate Momentum
- Tips for Effectively Managing Your Personal Finances
- Understanding Resistor Networks in Electronics
- Understanding Quadrilaterals in Geometry