Ch 18: PLACE Elementary Education: Statistics & Probability

About This Chapter

This chapter on Statistics and Probability is a great tool to include in your studying for the PLACE Elementary Education exam. Use these lessons on histograms, calculating medians, and theoretical probability to help you be ready for test day.

PLACE Elementary Education: Statistics and Probability - Chapter Summary

This chapter reviews several forms and uses of statistics and probability, with lessons touching on all the topics you may encounter on this subject when taking the PLACE Elementary Education exam. By the time you finish this chapter, you can expect to have improved your understanding of:

  • Analyzing statistics and categorical data
  • Bar graphs, pie charts, line graphs and tables
  • Making estimations and predictions from data
  • Histograms
  • Center, shape and spread
  • Calculating mean, median, mode and range
  • Relationships between quantitative variables
  • Probability and theoretical probability
  • Math combinations

You can use the practice quiz at the end of each lesson to check your comprehension of the material you just reviewed before continuing to the next topic. These quizzes also have a printable worksheet version, allowing you to continue studying offline.

PLACE Elementary Education: Statistics and Probability Chapter Objectives

The PLACE Elementary Education exam is used to check the abilities of prospective elementary education teachers in the state of Colorado. This chapter will help you prepare for the mathematics part of the test, a component of which is centered on the basic principles and concepts of data collection and analysis, statistics and probability. The test includes 100 multiple-choice questions. After watching the engaging videos in this chapter, use the end-of-chapter exam to see if you are ready for test day.

15 Lessons in Chapter 18: PLACE Elementary Education: Statistics & Probability
Test your knowledge with a 30-question chapter practice test
Statistical Analysis with Categorical Data

1. Statistical Analysis with Categorical Data

Statistical analysis with categorical data is the mathematical process of converting categorical data into percentages and displaying it using data tables. Learn more about statistical analysis with categorical data, bar graphs, data tables, and how to represent data as percentages.

Understanding Bar Graphs and Pie Charts

2. Understanding Bar Graphs and Pie Charts

Bar graphs and pie charts are some of the most used graphical ways to present data. Learn how to read bar graphs and pie charts, and explore some examples to understand how they are interpreted.

Summarizing Categorical Data using Tables

3. Summarizing Categorical Data using Tables

Categorical data are named this way because they can be categorized or grouped, and they can be demonstrated using tables. Through an example, learn how to prep your data, make a data table, and use percentages to analyze the data.

What is a Two-Way Table?

4. What is a Two-Way Table?

A two-way table, also known as a contingency table, is used to display the frequency data of two categorical variables. Learn some tips on how to use and how to analyze two-way tables.

Make Estimates and Predictions from Categorical Data

5. Make Estimates and Predictions from Categorical Data

Categorical data is information that can be gathered and then grouped into specific categories and also represented on bar graphs. Learn more about the definition of categorical data, bar graphs, and how this information is useful to individuals in making estimates and predictions.

What is Quantitative Data? - Definition & Examples

6. What is Quantitative Data? - Definition & Examples

Quantitative data allow researchers to answer questions that require counting and measurement. Learn about data that can be counted, data that can be measured, and uses of quantitative data.

What is a Histogram in Math? - Definition & Examples

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

In math, a histogram is a data visualization that shows continuous data. Through an example, learn when to use a histogram and how to read a histogram to gain insights from data.

What are Center, Shape, and Spread?

8. What are Center, Shape, and Spread?

Center, shape, and spread are terms used to describe the visual representation of data distribution. Explore the definitions and examples of center, shape, and spread in this lesson.

Mean, Median, Mode & Range

9. Mean, Median, Mode & Range

The four most common measures of central tendency are the mean, median, mode, and range. Understand and calculate the mean, median, mode, and range through the given sample problems.

Describing the Relationship between Two Quantitative Variables

10. Describing the Relationship between Two Quantitative Variables

The relationship between two quantitative variables can be described using a type of graph called a scatter plot on which all of the data points are plotted individually. Learn the definition of a quantitative variable through examples, and discover how to explain the relationship between the variables to one another using a scatter plot graph.

Reading and Interpreting Line Graphs

11. Reading and Interpreting Line Graphs

Line graphs, with lines connecting points of data to each other, can provide insights into various kinds of data. Through various examples, learn how to read and interpret different line graphs.

Making Estimates and Predictions using Quantitative Data

12. Making Estimates and Predictions using Quantitative Data

In research, quantitative data has specific values represented by numbers. Learn about quantitative data and explore ways to use it to make estimates and predictions. Review scatter plots and understand how to determine relationships between quantitative data sets.

What is Probability in Math? - Definition & Overview

13. What is Probability in Math? - Definition & Overview

The formula of probability is possible choices over the total number of options. Discover the definition of probability and get an overview of its calculation and application in math.

Math Combinations: Formula and Example Problems

14. Math Combinations: Formula and Example Problems

Factorials are used to compute for a combination. Learn more about these concepts, solve the example problems in this video using the combination discussed herein, and learn an easy technique for combination problems.

What is Theoretical Probability? - Definition, Formula & Examples

15. What is Theoretical Probability? - Definition, Formula & Examples

Theoretical probability is used in mathematics to express the likelihood that a specific phenomenon will occur. Learn about the definition, formula, and real-world examples of theoretical probability like which flavor gumball a machine is most likely to dispense.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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More Exams
There are even more practice exams available in PLACE Elementary Education: Statistics & Probability.

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Other Chapters

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