# Ch 18: PSAT Math - Data Analysis, Statistics and Probability: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering PSAT preparation material will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn higher scores. You're in the right place if you:

- Have fallen behind in understanding data analysis, statistics and probability
- Need an efficient way to learn data analysis, statistics and probability
- Learn best with engaging auditory and visual tools
- Struggle with learning disabilities or learning differences, including autism and ADHD
- Experience difficulty understanding your teachers
- Missed class time and need to catch up
- Can't access extra PSAT review resources at school

## How it works:

- Start at the beginning, or identify the topics that you need help with.
- Watch and learn from fun videos, reviewing as needed.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Submit questions to one of our instructors for personalized support if you need extra help.
- Verify you're ready by completing the PSAT Math - Data Analysis, Statistics and Probability chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the PSAT Math - Data Analysis, Statistics and Probability chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any data analysis, statistics or probability question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

In this chapter, you'll learn the answer to questions including:

- How do I analyze bar graphs and pie charts?
- How do I calculate mean, median, mode and range?
- How can I determine the probability of independent and dependent events?
- What is either/or probability?
- What are factorials?

### 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. Finding and Classifying Geometric Sequences

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### 4. 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.

### 5. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. 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.

### 12. 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.

### 13. Extrapolation in Statistics: Definition, Formula & Example

Extrapolation is a useful statistical tool used to estimate values that go beyond a set of given data or observations. In this lesson, you will learn how to estimate or predict values using this tool.

### 14. Interpolation in Statistics: Definition, Formula & Example

Interpolation is a useful mathematical and statistical tool used to estimate values between two points. In this lesson, you will learn about this tool, its formula and how to use it.

### 15. Mean: Definition & Sample Problems

The arithmetic mean of a group of numbers is the technical term for the average of a group of numbers. This lesson will tell you how to compute the mean, give some examples and provide a quiz at the end so you can practice.

### 16. Minimum Values: Definition & Concept

The minimum value of a quadratic function is the low point at which the function graph has its vertex. This lesson will define minimum values and give some example problems for finding those values. A quiz will complete the lesson.

### 17. Mode: Definition & Sample Problems

The mode is one of the ways to express the average of a set of data. This lesson will define mode and give some real life examples of how it is used in statistics. There will be a quiz at the end to solidify the concepts.

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### Other Chapters

Other chapters within the PSAT Prep: Help and Review course

- PSAT Prep - About the Test: Help and Review
- PSAT Prep: General Info
- PSAT Writing - About the Writing Section: Help and Review
- PSAT Writing - Grammar and Usage: Help and Review
- PSAT Reading - About the Reading Section: Help and Review
- PSAT Reading - Sentence Completions: Help and Review
- PSAT Reading - Reading Passages: Help and Review
- PSAT Reading - Understanding Reading Passages: Help and Review
- PSAT Reading - Literary Terms: Help and Review
- PSAT Math - About the Math Section: Help and Review
- PSAT Math - Numbers and Operations: Help and Review
- PSAT Math - Equations and Expressions: Help and Review
- PSAT Math - Exponents: Help and Review
- PSAT Math - Rational Equations and Expressions: Help and Review
- PSAT Math - Inequalities: Help and Review
- PSAT Math - Functions: Help and Review
- PSAT Math - Geometry and Measurement: Help and Review