# 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

Bar graphs and pie charts are some of the most used graphical ways to present data. Learn how to read bar graphs and pie charts, and explore some examples to understand how they are interpreted.

### 2. Mean, Median, Mode & Range

The four most common measures of central tendency are the mean, median, mode, and range. Understand and calculate the mean, median, mode, and range through the given sample problems.

### 3. Finding and Classifying Geometric Sequences

Geometric sequences are made by multiplying numbers together in a specific and repeated pattern. Learn about the ways geometric sequences are classified and how to find geometric sequences using the terms of any two given entries.

### 4. Probability of Independent and Dependent Events

Probability is a ratio that predicts the likelihood an event will occur. Explore the concept of probability and understand the difference between independent and dependent events. Learn how to calculate the probability of both independent and dependent events, and review examples.

### 5. Probability of Simple, Compound and Complementary Events

Probability can be calculated for simple, compound, and complementary events. Explore each type of event, understand how each event differs from the other types, and learn how to calculate each type of event's probability by reviewing examples.

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

Independent events do not affect the outcome of events that follow, but it is generally important that they occur at least once. Learn how to use the 'At Least One' rule when calculating the probability of independent events.

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

Either/or probability of overlapping and non-overlapping events is determined by either adding the probability of each event occurring together or by subtracting out the probability of the overlapping event. Explore probability and overlapping vs. non-overlapping events.

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

The probability of combinations may be calculated when the order of the outcomes does not matter, using the number of favorable outcomes divided by total outcomes. Learn how to calculate the probability of combinations by working through helpful example problems.

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

A permutation calculates the number of outcomes where order of events matters, but not all outcomes are equally probable or favorable. Learn how to calculate the probability of permutations using functions and factorials.

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

Factorials are used to compute for a combination. Learn more about these concepts, solve the example problems in this video using the combination discussed herein, and learn an easy technique for combination problems.

### 11. What Is a Factorial?

Factorials are operations in which a given natural number is multiplied by all previous numbers in a sequence, typically all integers smaller than themselves. Learn the fundamental counting principles and how factorials calculate potential outcomes with two examples.

### 12. Factorial Practice Problems

Factorials are a process of multiplying a number by all previous integers smaller than itself. Learn how factorials appear as fractions and algebraic expressions and solve practice problems using multiplication and division.

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

Extrapolation in statistics is used to estimate values that go beyond a set of given data or observations. Explore the definition, use, formula, and examples of extrapolation, and learn when to use caution with extrapolation.

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

Interpolation is used to determine values between a pair of data points. This lesson explains how to define interpolation and linear pattern, and how to calculate the values between points using the interpolation formula.

### 15. Mean: Definition & Sample Problems

To find the mean--or average--of a set of numbers, simply add up all the numbers in that set and then divide by however many numbers are in the set. Learn more about how to accurately find mean of a set of numbers through sample problems and examples.

### 16. Minimum Values: Definition & Concept

The minimum value of a quadratic function is the place where the graph has a vertex at its lowest point. Learn the concept of minimum values and its practical uses in science, architecture, engineering and business.

### 17. Mode: Definition & Sample Problems

In a set of numbers, the number that appears most often is known as the mode; there can sometimes be multiple modes or none at all. Explore several examples and sample problems to find the mode of a set of numbers.

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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