# Ch 49: NMTA Middle Grades Math: Data & Graphs

### About This Chapter

## NMTA Middle Grades Math: Data & Graphs - Chapter Summary

Refresh your knowledge of data and graphs by watching fun video lessons that explore pie charts, histograms, dot plots, frequency tables and more. The lessons in this chapter are designed to help you answer questions on the NES Middle Grades Mathematics test that address the following:

- Organizing and understanding data with tables and schedules
- Reading and interpreting line graphs
- Understanding bar graphs and pie charts
- Defining, creating and interpreting histograms, dot plots and box plots
- Analyzing bivariate data, a two-way table, scatterplots and univariate data
- Understanding frequency, relative frequency and cumulative frequency tables
- Calculating percent increase with relative and cumulative frequency

The video lessons examine data and graphs in a high-quality visual format and offer transcripts to create an engaging, yet comprehensive learning environment. The online approach helps you learn at your own pace while making sure you fully understand the materials as you prepare to take the exam.

### Objectives of the NMTA Middle Grades Math: Data & Graphs Chapter

The video lessons covered in this NMTA Middle Grades Math: Data & Graphs chapter are found in the statistics, probability and discrete mathematics portion of the NES Middle Grades Mathematics test, which constitutes about 25% of the exam. The test is designed to ensure you're prepared to teach math in the classroom setting and secure a teaching license or endorsement in New Mexico. By watching the engaging lessons in this chapter, you can strengthen your knowledge of data and graphs to make sure you're prepared to take this portion of the exam. Self-assessment quizzes are also available to help you to practice answering questions formatted similarly to those found on the test.

All of the questions on the test are multiple choice and typically take the form of questions, sentences or short paragraphs. Each question is followed by four answers, one of which you will be asked to choose as the best response.

### 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 NMTA Middle Grades Mathematics (203): Practice & Study Guide course

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