# Ch 46: Praxis Mathematics: Interpreting Statistics

### About This Chapter

## Praxis Mathematics: Interpreting Statistics - Chapter Summary

The lessons in this chapter help you prepare for questions on the Praxis Mathematics exam about the interpretation of statistics, including population and sample variance, frequency tables, and types of frequencies. Topics like scatterplots, interpreting correlations, and bivariate data are also covered. In addition, after completing this chapter, you will have a comprehensive understanding of:

- Simple linear regression
- Two-way tables
- Analyzing the slope and intercept of a linear model
- Histograms, dot plots, and box plots
- Bar graphs and pie charts
- Evaluating non-significant outcomes

Short, engaging video lessons make the material fun and interesting, and knowledgeable instructors are available to answer any questions you may have. Self-assessment quizzes can be used to test your knowledge, or printed as worksheets to help you study. Visit your dashboard to track your progress through the course.

### 1. Population & Sample Variance: Definition, Formula & Examples

Population and sample variance can help you describe and analyze data beyond the mean of the data set. In this lesson, learn the differences between population and sample variance.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. How to Interpret Correlations in Research Results

Perhaps the most common statistic you'll see from psychology is a correlation. Do you know how to correctly interpret correlations when you see them? This lesson covers everything you need to know.

### 7. 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.

### 8. Simple Linear Regression: Definition, Formula & Examples

Simple linear regression is a great way to make observations and interpret data. In this lesson, you will learn to find the regression line of a set of data using a ruler and a graphing calculator.

### 9. Problem Solving Using Linear Regression: Steps & Examples

Linear regression can be a powerful tool for predicting and interpreting information. Learn to use two common formulas for linear regression in this lesson.

### 10. 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.

### 11. Interpreting the Slope & Intercept of a Linear Model

You've probably seen slope and intercept in algebra. These concepts can also be used to predict and understand information in statistics. Take a look at this lesson!

### 12. 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.

### 13. 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.

### 14. 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!

### 15. 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.

### 16. Interpreting a Non-Significant Outcome

Research can take a lot of time for the person conducting it. So what happens when the statistics show that the results are not significant? In this lesson, we'll look at what a non-significant outcome means and what it doesn't mean.

### 17. Statistical Significance: Definition, Levels & Critical Regions

This lesson explores the basic principle of statistical significance and why it is important to understand when performing nearly any statistical test.

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### Other Chapters

Other chapters within the Praxis Mathematics - Content Knowledge (5161): Practice & Study Guide course

- Praxis Mathematics: Counting Numbers Properties
- Praxis Mathematics: Rational and Irrational Numbers
- Praxis Mathematics: Solving Problems with Reasoning
- Praxis Mathematics: Percents
- Praxis Mathematics: Ratios and Proportions
- Praxis Mathematics: Scientific Notation & Order of Magnitude
- Praxis Mathematics: Algebraic Expressions
- Praxis Mathematics: Algebraic Equations
- Praxis Mathematics: Algebraic Fractions
- Praxis Mathematics: Linear Equations
- Praxis Mathematics: Systems of Equations
- Praxis Mathematics: Radicals Operations
- Praxis Mathematics: Exponents
- Praxis Mathematics: Distance
- Praxis Mathematics: Functions
- Praxis Mathematics: Inverse Functions
- Praxis Mathematics: Logarithmic Functions
- Praxis Mathematics: Rational Functions
- Praxis Mathematics: Complex Numbers Operations
- Praxis Mathematics: Sequences, Series & Probability
- Praxis Mathematics: Combinations & Permutations
- Praxis Mathematics: Quadratic Equations
- Praxis Mathematics: Polynomials
- Praxis Mathematics: Matrix Algebra
- Praxis Mathematics: Algebraic Formulas
- Praxis Mathematics: Measurement
- Praxis Mathematics: Area
- Praxis Mathematics: Polygons
- Praxis Mathematics: Quadrilaterals
- Praxis Mathematics: Circles
- Praxis Mathematics: Triangles
- Praxis Mathematics: Congruence, Similarity and Transformations
- Praxis Mathematics: Three-Dimensional Space and Volume
- Praxis Mathematics: Data
- Praxis Mathematics: Distributions
- Praxis Mathematics: Graphing
- Praxis Mathematics: Trigonometry
- Praxis Mathematics: Continuity
- Praxis Mathematics: Asymptotes
- Praxis Mathematics: Limits
- Praxis Mathematics: Derivatives
- Praxis Mathematics: Integrals
- Praxis Mathematics: Optimization and Differentiation
- Praxis Mathematics: Theorems
- Praxis Mathematics: Statistics
- Praxis Mathematics: Understanding Logic
- Praxis Mathematics: Content Knowledge Flashcards