# Ch 19: CAHSEE - Statistics, Probability & Working with Data: Help and Review

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### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering CAHSEE math material will benefit from taking this course. There is no faster or easier way to prepare for the CAHSEE math exam. Among those who would benefit are:

- Students who have fallen behind in understanding how to calculate probabilities; interpret charts, graphs and tables; or use data to make estimates and predictions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about statistics and probability
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Statistics, Probability & Working with Data 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 Statistics, Probability & Working with Data chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any statistics and probability question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in a statistics and probability unit of a standard high school math course. Topics covered include:

- Simple conditional probabilities
- Probabilities of simple, compound and complementary events
- Probabilities of independent and dependent events
- Probabilities of overlapping and non-overlapping events
- Mean, median, mode and range
- Bar graphs, line graphs and pie charts
- Relative and cumulative frequency tables
- Scatterplots and correlation coefficients
- Categorical and quantitative data

### 1. 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.

### 2. 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.

### 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. 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. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. Statistical Analysis with Categorical Data

Learn why percentages are so important when analyzing categorical data in this video lesson. Watch as the data is turned into a data table and a visual bar graph as ways to analyze the data.

### 10. Summarizing Categorical Data using Tables

Watch this video lesson to find out why data tables are an excellent way to summarize your categorical data. Learn what you need to do to your data before constructing a table and the two ways you can show your data.

### 11. Make Estimates and Predictions from Categorical Data

Categorical data can be estimated but not predicted. Learn why in this video lesson along with how to read and gather information from a bar graph of categorical data.

### 12. What is Quantitative Data? - Definition & Examples

Watch this video lesson to find out the difference between saying you have seven apples and saying that those apples are delicious. You will learn about quantitative data and why it is useful.

### 13. Reading and Interpreting Line Graphs

Watch this video lesson to find out how useful line graphs can be and how much information you can gain just from looking at one. Learn how you can apply that information in your own life to help you make better decisions.

### 14. Making Estimates and Predictions using Quantitative Data

Watch this video lesson to learn how you can read a scatter plot to learn more about a particular situation. Also learn how you can make estimates within the range of data you have and predict what may happen outside the range of data.

### 15. Creating & Interpreting Scatterplots: Process & Examples

Scatterplots are a great visual representation of two sets of data. In this lesson, you will learn how to interpret bivariate data to create scatterplots and understand the relationship between the two variables.

### 16. The Relationship Between Variables: Correlation Coefficient & Scatterplots

The focus of this lesson is on how both correlation coefficients and scatterplots convey the same message. Specifically, this lesson will explore how these two can reveal the same information but in different ways.

### 17. Using Tables and Graphs in the Real World

We use tables and graphs in algebra as ways to visually show an equation or function. But do we really use these in the real world? Is it that important to learn about tables and graphs? Find out in this video lesson.

### 18. Arithmetic Mean: Definition, Formula & Example

In this lesson, we will learn about the arithmetic mean, which is a quantity that is used in a wide variety of applications, such as science, engineering, medicine, statistics and finance.

### 19. Bimodal Distribution: Definition & Example

Graphs can reveal trends and 'points of interests' like maximum and minimum values. In this lesson we are going to examine a particular phenomenon called Bimodal Distribution and demonstrate what that looks like on a graph.

### 20. What is a Pilot Study? - Definition & Example

So, you're preparing to conduct a large research study. To ensure all your ducks are in a row, you may want to conduct a pilot study. In this lesson, learn what pilot studies are, why to do them, and what to watch out for.

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### Other Chapters

Other chapters within the CAHSEE Math Exam: Help and Review course

- CAHSEE - Number Theory & Basic Arithmetic: Help and Review
- CAHSEE - Problems with Decimals and Fractions: Help and Review
- CAHSEE - Problems with Percents: Help and Review
- CAHSEE Radical Expressions & Equations: Help & Review
- CAHSEE Algebraic Expressions & Equations: Help & Review
- CAHSEE - Algebraic Linear Equations & Inequalities: Help and Review
- CAHSEE - Problems with Exponents: Help and Review
- CAHSEE - Overview of Functions: Help and Review
- CAHSEE - Rational Expressions: Help and Review
- CAHSEE Ratios, Percent & Proportions: Help & Review
- CAHSEE - Matrices and Absolute Value: Help and Review
- CAHSEE - Quadratics & Polynomials: Help and Review
- CAHSEE - Geometry: Graphing Basics: Help and Review
- CAHSEE - Graphing on the Coordinate Plane: Help and Review
- CAHSEE - Measurement in Math: Help and Review
- CAHSEE - Properties of Shapes: Help and Review
- CAHSEE Triangles & the Pythagorean Theorem: Help & Review
- CAHSEE - Perimeter, Area & Volume in Geometry: Help and Review
- CAHSEE - Mathematical Reasoning: Help and Review
- CAHSEE - Logic: Help and Review