# Ch 17: PSAT Math - Data Analysis, Statistics and Probability: Tutoring Solution

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### About This Chapter

## How it works:

- Begin your assignment or other PSAT prep work.
- Identify the data analysis, statistics and probability concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our PSAT Prep Tutoring Solution will benefit any student who is trying to learn about data analysis, statistics and probability and prepare for the exam. This resource can help students including those who:

- Struggle with understanding bar graphs, mean and median, averages, math combinations, factorials, probability of simple and compound events or any other data analysis, statistics and probability topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their data analysis, statistics and probability unit
- Cope with ADD or ADHD
- Want to get ahead in preparing for the PSAT
- Don't have access to their PSAT instructor outside of class

## Why it works:

**Engaging Tutors:**We make learning about data analysis, statistics and probability simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live PSAT tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about data analysis, statistics and probability on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning objectives:

- Learn to find and classify geometric sequences.
- Explore the probability of independent and dependent events.
- Practice calculating the probability of combinations or permutations.
- Define factorial and experience completing related problems.

### 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.

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### Other Chapters

Other chapters within the PSAT Prep: Tutoring Solution course

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