# Ch 50: MEGA Middle School Math: Data & Graphs

### About This Chapter

## MEGA Middle School Math: Data & Graphs - Chapter Summary

As you prepare for the Missouri Educator Gateway Assessments (MEGA) Middle School Education Mathematics exam, be sure to use the lessons of this chapter to improve your ability to create and read graphs, tables and schedules. In these lessons, our professional instructors will discuss:

- How to organize and understand data on graphs, tables and schedules
- The use of line graphs, and stem and leaf displays
- Bar graphs, pie charts and histograms
- The creation and interpretation of scatterplots, dot plots and box plots
- The use of frequency, relative frequency and cumulative frequency tables
- The assessment of frequency polygons
- The differences between univariate and bivariate data
- The process of reading and interpreting two-way tables

Be sure to take advantage of the versatility of these lessons and watch them on your mobile devices when you are away from your computer. Also, try reading the lesson transcripts for an alternative way of reviewing the lessons. If at any time you come up with a question about any of the material presented in these lessons, send it to our instructors for clarification using the teacher tab.

### MEGA Middle School Math: Data & Graphs Objectives

The MEGA Middle School Education Mathematics exam uses 80 multiple-choice questions to measure the mathematical skills and knowledge of math teaching candidates at the middle school level. On test day, these questions will be administered in a 2-hour-and-30-minute testing session. Be prepared for 18% of the material covered by these questions to be about statistics and probability. This chapter has been assembled to help you prepare for some of the questions that may ask you about organizing and displaying data.

### 1. Organizing and Understanding Data with Tables & Schedules

In math, when we have to deal with a lot of data, having a visual format to present all the data becomes very useful. Watch this video lesson to learn how you can take advantage of two of these visual formats.

### 2. 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.

### 3. 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.

### 4. Creating & Reading Stem & Leaf Displays

Every once in a while you will come across stem-and-leaf displays in statistics. These displays can be very useful in identifying all of the values in a data set while still visually representing the data.

### 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. 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.

### 7. 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.

### 8. Creating & Interpreting Histograms: Process & Examples

Creating histograms can help you easily identify and interpret data. This lesson will give you several examples to better understand histograms and how to create them.

### 9. Creating & Interpreting Dot Plots: Process & Examples

Dot plots are a visual way to display the frequency distribution in a data set. In this lesson, you will learn how to construct a dot plot and understand its uses.

### 10. Creating & Interpreting Box Plots: Process & Examples

Box plots are an essential tool in statistical analysis. This lesson will help you create a box plot and understand its meaning. When you are finished, test your understanding with a short quiz!

### 11. Frequency & Relative Frequency Tables: Definition & Examples

Frequency and relative frequency tables are a good way to visualize information. This is especially useful for information that is grouped into categories where you are looking for popularity or mode.

### 12. Cumulative Frequency Tables: Definition, Uses & Examples

Cumulative frequency tables can help you analyze and understand large amounts of information. In this lesson, you practice creating and interpreting cumulative frequency tables.

### 13. 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.

### 14. Creating & Interpreting Frequency Polygons: Process & Examples

Frequency polygons can be used to analyze data sets in many different ways. They are also a great way to visualize and compare two sets of data. In this lesson, learn the uses and create a frequency polygon.

### 15. Making Arguments & Predictions from Univariate Data

Univariate data is used to describe a situation or experiment; however, you can also use the data to make arguments and predictions. This lesson will show you how to use measures of central tendency to make arguments and predictions.

### 16. What is Bivariate Data? - Definition & Examples

In this lesson, you will be learning about the definition and uses of bivariate data. We will also compare and contrast the characteristics of univariate data and bivariate data.

### 17. 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.

### 18. Joint, Marginal & Conditional Frequencies: Definitions, Differences & Examples

Joint, marginal, and conditional frequencies are all part of analyzing categorical data and two-way tables. This lesson will help you learn the definitions and differences between each concept.

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### Other Chapters

Other chapters within the MEGA Middle School Mathematics: Practice & Study Guide course

- MEGA Middle School Math: Basic Arithmetic Operations
- MEGA Middle School Math: Solving Word Problems
- MEGA Middle School Math: Properties of Numbers
- MEGA Middle School Math: Estimating & Rounding
- MEGA Middle School Math: Number Theory
- MEGA Middle School Math: Roots & Radical Expressions
- MEGA Middle School Math: Exponents & Exponential Expressions
- MEGA Middle School Math: Scientific Notation
- MEGA Middle School Math: Simplifying Whole Number Expressions
- MEGA Middle School Math: Integers
- MEGA Middle School Math: Rational Numbers
- MEGA Middle School Math: Introduction to Fractions
- MEGA Middle School Math: Operations with Fractions
- MEGA Middle School Math: Introduction to Decimals
- MEGA Middle School Math: Operations with Decimals
- MEGA Middle School Math: Percents
- MEGA Middle School Math: Money & Consumer Math
- MEGA Middle School Math: Number Patterns & Sequences
- MEGA Middle School Math: Properties of Functions
- MEGA Middle School Math: Graphing Functions
- MEGA Middle School Math: Negative Numbers
- MEGA Middle School Math: Absolute Value
- MEGA Middle School Math: Inequalities
- MEGA Middle School Math: Factoring
- MEGA Middle School Math: Monomials & Polynomials
- MEGA Middle School Math: Writing Algebraic Expressions
- MEGA Middle School Math: Basic Algebraic Expressions
- MEGA Middle School Math: Algebraic Distribution
- MEGA Middle School Math: Solving One-Step Equations
- MEGA Middle School Math: Solving Two-Step Equations
- MEGA Middle School Math: Simplifying Rational Expressions
- MEGA Middle School Math: The Coordinate Graph
- MEGA Middle School Math: Linear Equations
- MEGA Middle School Math: Systems of Linear Equations
- MEGA Middle School Math: Rates, Ratios & Proportions
- MEGA Middle School Math: Measurements
- MEGA Middle School Math: Perimeter & Area
- MEGA Middle School Math: Polyhedrons & Geometric Solids
- MEGA Middle School Math: Symmetry, Similarity & Congruence
- MEGA Middle School Math: Properties of Lines
- MEGA Middle School Math: Angles
- MEGA Middle School Math: Triangles
- MEGA Middle School Math: Triangle Theorems & Proofs
- MEGA Middle School Math: Similar Polygons
- MEGA Middle School Math: The Pythagorean Theorem
- MEGA Middle School Math: Quadrilaterals
- MEGA Middle School Math: Circles
- MEGA Middle School Math: Circular Arcs & Measurement
- MEGA Middle School Math: Transformations
- MEGA Middle School Math: Statistics
- MEGA Middle School Math: Data Collection
- MEGA Middle School Math: Samples & Populations
- MEGA Middle School Math: Probability
- MEGA Middle School Math: Sets
- MEGA Middle School Mathematics Flashcards