About This Chapter
Probability Theory & Statistics - Chapter Summary
This fun chapter offers a comprehensive of probability theory and statistics. Our instructors dive into topics that include conditional probability, measures of variability and histograms. Explore the entertaining lessons in any order and as often as you'd like, based on your study preferences. When you're ready, check your comprehension of the lesson contents by taking short quizzes and a chapter exam. Feel free to send any questions you have to our experts using the Dashboard. By the end of this chapter, you will be ready to:
- Calculate the probability of complementary, compound and simple events
- Differentiate between mutually exclusive events and non-mutually exclusive events
- Define and discuss the uses of conditional probability
- Calculate the mode, median, mean and range of a data set
- Describe the relationship between the different measures of variability
- Compare and contrast bar graphs and pie charts
- Detail the process of creating and interpreting histograms
- Explain how scatterplots and line graphs are used
1. Probability of Simple, Compound and Complementary Events
Simple, compound, and complementary events are different types of probabilities. Each of these probabilities are calculated in a slightly different fashion. In this lesson, we will look at some real world examples of these different forms of probability.
2. Mutually Exclusive Events & Non-Mutually Exclusive Events
In this lesson, we look at the ideas of mutually exclusive and non-mutually exclusive events. As we will learn, just because two events are non-mutually exclusive events are possible, that doesn't make them likely.
3. Conditional Probability: Definition & Uses
We know a coin can land on either heads or tails. But what would happen if one coin flip changed the next? In this lesson, we'll look at events that are dependent on each other, and we'll learn how to calculate the probability of two events occurring in a combined manner.
4. How to Calculate Mean, Median, Mode & Range
Measures of central tendency can provide valuable information about a set of data. In this lesson, explore how to calculate the mean, median, mode and range of any given data set.
5. Measures of Variability: Range, Variance & Standard Deviation
Looking specifically at range, variance, and standard deviation, this lesson explores the relationship between these measures and samples, populations, and what it says about your data.
6. Understanding Bar Graphs and Pie Charts
In this lesson, we will examine two of the most widely used types of graphs: bar graphs and pie charts. These two graphs can provide the reader with a comparison of the different data that is displayed.
7. Creating & Interpreting Histograms: Process & Examples
Creating histograms can help you easily identify and interpret data. This lesson will give you several examples to better understand histograms and how to create them.
8. Scatterplots and Line Graphs: Definitions and Uses
After watching this video, you will be able to understand scatter plots and line graphs. You will also be able to use them to tell people a story about what you see and observe. You will also be able to read them.
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Other chapters within the DSST Math for Liberal Arts: Study Guide & Test Prep course
- Real Numbers Basics
- Percents, Fractions & Decimals
- Systems of Numeration
- Number Rules & Properties
- Understanding Mathematical Sets
- Overview of Logic in Math
- Metric System, Conversions & Geometry
- Overview of Algebraic Expressions & Equations
- Graphing Linear Equations
- Linear Systems & Inequalities
- Operations with Functions
- Solving Exponential & Logarithmic Functions
- Financial Literacy Overview
- Proportions & Counting
- DSST Informational Resources
- DSST Math for Liberal Arts Flashcards