# Ch 27: GRE Quantitative Reasoning: Probability and Statistics

### About This Chapter

## GRE Quantitative Reasoning: Probability and Statistics - Chapter Summary

Develop proficiency in determining probability and statistics with these GRE review tutorials. Video lectures address various statistical methods and concepts you'll need to know when answering questions on the quantitative part of the GRE. Topics covered in the probability and statistics materials include:

- Bar graphs
- Pie charts
- Central tendency measures
- Factorials
- Combination probability
- Permutation probability
- Frequency tables
- Conditional probability

The videos in this chapter comprise instruction in a variety of methods for discerning statistics and probabilities. In addition, complementary quizzes and practice problems can help you gauge your assimilation of the lessons. Chapter information is allocated into short, on-point videos covering individual topics to support your GRE success.

### GRE Quantitative Reasoning Objectives

The GRE is intended to determine how academically prepared you are to pursue a business or graduate school program. A little over one-third of the test contains questions related to quantitative reasoning, which may address areas of data analysis, geometry, arithmetic, or algebra. Our instructional probability and statistics videos help you understand quantitative concepts you'll find on the actual GRE. Following are some of the particular objectives addressed in these lessons:

- Interpreting pie charts and bar graphs
- Determining mean, mode, range, and median
- Understanding factorials
- Establishing the probability of different kinds of events
- Deducing the probability of a given permutation
- Ascertaining standard deviation
- Determining conditional probability

Questions on the quantitative reasoning segment of the GRE occur in a few different formats. There are multiple-choice questions with a single correct answer, multiple-choice questions with more than one right response, and multiple-choice questions that offer a pair of quantities and ask you to choose the answer that best describes the relationship between them. Lastly, there are numeric-entry questions that require the calculation and provision of an original numeric response.

### 1. 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.

### 2. 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.

### 3. 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.

### 4. How to Calculate the Probability of Combinations

To calculate the probability of a combination, you will need to consider the number of favorable outcomes over the number of total outcomes. Combinations are used to calculate events where order does not matter. In this lesson, we will explore the connection between these two essential topics.

### 5. How to Calculate the Probability of Permutations

In this lesson, you will learn how to calculate the probability of a permutation by analyzing a real-world example in which the order of the events does matter. We'll also review what a factorial is. We will then go over some examples for practice.

### 6. Probability of Independent and Dependent Events

Sometimes probabilities need to be calculated when more than one event occurs. These types of compound events are called independent and dependent events. Through this lesson, we will look at some real-world examples of how to calculate these probabilities.

### 7. Factorial Practice Problems

While the definition of factorial isn't complicated, it's easy to make them trickier by throwing a lot of them together and adding in some fractions. Test your skills here with some algebraic examples that make you use factorials without many numbers.

### 8. What Is a Factorial?

Maybe it's because I'm a math teacher, but when I watched the Olympics I found myself thinking about how many different ways the swimmers could have finished the race. In this video, you'll learn the answer to this question, why it's important and how it lead to the invention of the mathematical operation called the factorial.

### 9. Math Combinations: Formula and Example Problems

Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.

### 10. How to Calculate a Permutation

A permutation is a method used to calculate the total outcomes of a situation where order is important. In this lesson, John will use permutations to help him organize the cards in his poker hand and order a pizza.

### 11. Probability of Independent Events: The 'At Least One' Rule

Occasionally when calculating independent events, it is only important that the event happens once. This is referred to as the 'At Least One' Rule. To calculate this type of problem, we will use the process of complementary events to find the probability of our event occurring at least once.

### 12. Either/Or Probability: Overlapping and Non-Overlapping Events

Statistics is the study and interpretation of a set of data. One area of statistics is the study of probability. This lesson will describe how to determine the either/or probability of overlapping and non-overlapping events.

### 13. Calculating the Standard Deviation

In this lesson, we will examine the meaning and process of calculating the standard deviation of a data set. Standard deviation can help to determine if the data set is a normal distribution.

### 14. How to Calculate Percent Increase with Relative & Cumulative Frequency Tables

In statistics, one way to describe and analyze data is by using frequency tables. This lesson will discuss relative and cumulative frequencies and how to calculate percent increase using these two methods.

### 15. How to Calculate Simple Conditional Probabilities

Conditional probability, just like it sounds, is a probability that happens on the condition of a previous event occurring. To calculate conditional probabilities, we must first consider the effects of the previous event on the current event.

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### Other Chapters

Other chapters within the GRE Test: Practice & Study Guide course

- GRE: About the Test
- GRE Verbal Reasoning: About the Verbal Reasoning Section
- GRE Verbal Reasoning: Reading Skills
- GRE Verbal Reasoning: Vocabulary Skills
- GRE Analytical Writing: About the Analytical Writing Measure
- GRE Analytical Writing: Crafting Your Argument
- GRE Analytical Writing: Planning Your Essay
- GRE Analytical Writing: Starting Your Essay
- GRE Analytical Writing: Writing the Essay Body
- GRE Analytical Writing: Editing Your Essay
- GRE Analytical Writing: Writing Technique
- GRE Analytical Writing: Writing Stronger Sentences
- GRE Analytical Writing: Grammar and Usage
- GRE Quantitative Reasoning: About the Quantitative Reasoning Section
- GRE Quantitative Reasoning: Numbers and Operations
- GRE Quantitative Reasoning: Fractions, Decimals & Mixed Numbers
- GRE Quantitative Reasoning: Sequences and Series
- GRE Quantitative Reasoning: Equations and Expressions
- GRE Quantitative Reasoning: Factoring with FOIL, Graphing Parabolas and Solving Quadratics
- GRE Quantitative Reasoning: Exponents & Roots
- GRE Quantitative Reasoning: Functions
- GRE Quantitative Reasoning: Rational Equations and Expressions
- GRE Quantitative Reasoning: Inequalities
- GRE Quantitative Reasoning: Practical Applications
- GRE Quantitative Reasoning: Plane Geometry
- GRE Quantitative Reasoning: Coordinate Geometry
- GRE Quantitative Reasoning: Interpreting Statistical Data
- GRE Quantitative Reasoning: Sets
- GRE Flashcards
- GRE Test Flashcards