# Ch 4: Data & Statistics: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other GMAT prep work.
- Identify the data and statistics 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 GMAT prep tutoring solution will benefit any student who is trying to learn data and statistics and prepare for the exam. This resource can help students including those who:

- Struggle with understanding bar graphs and pie charts, two-way tables, quantitative data, mean and median, line graphs, predictions or any other data and statistics topic
- Have limited time for studying
- Want a cost effective way to supplement their learning
- Prefer learning quantitative skills visually
- Find themselves struggling to prepare for the GMAT
- Cope with ADD or ADHD
- Want to get ahead in preparing for the GMAT
- Don't have access to their GMAT prep instructor outside of class

## Why it works:

**Engaging Tutors:**We make learning data and statistics 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 GMAT tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn data and statistics 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:

- Determine how to analyze categorical data.
- Explore the use of bar graphs and pie charts.
- Use data tables to summarize categorical data.
- Learn the rules for calculating percent increase.
- Identify the purpose of a two-way table.
- Use categorical data to make estimates and predictions.
- Explain the use of quantitative data.
- Provide an example of a histogram.
- Identify shape, center and spread.
- Calculate median, mean, range and mode.
- Discover the importance of describing the relationships between two variables.
- Learn to read and interpret line graphs.
- Use quantitative data to make estimates.

### 1. 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.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. What is a Two-Way Table?

Do you believe in Martians? Do you watch football on television? A Two-Way Table or Contingency Table is a great way to show the results of all kinds of survey questions. In this video we will learn how to read a two-way table.

### 6. 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.

### 7. 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.

### 8. What is a Histogram in Math? - Definition & Examples

Watch this video lesson to see how useful a histogram can be when you need to show a bunch of data in an easy to read format. Also, learn how you can easily gather the information you need from looking at a histogram.

### 9. What are Center, Shape, and Spread?

Center, shape, and spread are all words that describe what a particular graph looks like. Watch this video lesson to see how you can identify and explain each.

### 10. 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.

### 11. Describing the Relationship between Two Quantitative Variables

In this video lesson, you will learn about quantitative variables, what they are, and how one variable relates to another. You will learn why this is important and why it can sometimes even save lives.

### 12. 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.

### 13. 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.

### 14. Union of Sets in Math: Definition, Terms & Symbol

In this lesson, learn about how you use sets and their unions in everyday life. Learn how to appropriately write them so that you can communicate with others about sets. Also, learn how easy they are to use.

### 15. Univariate Data: Definition, Analysis & Examples

How does the variable vary? This calls for a univariate analysis. There is a lot of information that can be garnered using univariate data. This lesson describes this type of data and the analyses conducted with it.

### 16. Upper Quartile: Definition & Formula

This lesson offers a definition of the upper quartile as well as a description of the concept. Examples are provided and solved. Users may then test their new knowledge with a short quiz after the lesson.

### 17. How to Analyze Longitudinal Data

Longitudinal data involves taking measurements of specific information from a select group of people at different points over a period of time. Gathering the same type of data from the same group from different time periods allows us to see if changes took place and how much change occurred.

### 18. Benford's Law: Definition, History & Examples

Benford's Law is a rule— first discovered by Dr. Frank Benford in the 1930s— that predicts the frequency at which each numeral will occur as the first digit in a set of data. In this lesson, learn about how it was discovered and the surprising ways in which it is used today.

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### Other Chapters

Other chapters within the GMAT Prep: Tutoring Solution course

- Basic Arithmetic Calculations: Tutoring Solution
- Rational Numbers: Tutoring Solution
- Decimals and Percents: Tutoring Solution
- Basic Algebraic Expressions: Tutoring Solution
- Exponents: Tutoring Solution
- Algebraic Linear Equations & Inequalities: Tutoring Solution
- Algebra - Absolute Value Equations & Inequalities: Tutoring Solution
- Algebra - Polynomials: Tutoring Solution
- Algebra - Rational Expressions: Tutoring Solution
- Perimeter, Area & Volume: Tutoring Solution
- Geometric Properties of Objects: Tutoring Solution
- Geometric Graphing Basics: Tutoring Solution
- Geometric Graphing Functions: Tutoring Solution
- Conventions in Writing - Grammar: Tutoring Solution
- Usage Conventions in Writing: Tutoring Solution
- Reading Comprehension for Test-Taking: Tutoring Solution
- Critical Reasoning for Test-Taking: Tutoring Solution
- Practical Applications for Test-Taking: Tutoring Solution
- Essay Writing Basics: Tutoring Solution
- Essay Clarity: Tutoring Solution
- Editing Your Writing: Tutoring Solution
- Practicing Analytical Writing: Tutoring Solution