About This Chapter
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
- 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.
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. 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.
5. 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.
6. 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.
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. 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.
9. 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.
10. 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.
11. 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.
12. 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.
13. What is Probability in Math? - Definition & Overview
Remember throwing a quarter and calling out heads or tails? Learn what this has to do with probability. Also learn how you can use your newly-learned skills from this lesson to help you decide whether you should play heads or tails at all!
14. Math Combinations: Formula and Example Problems
Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.
15. What is Theoretical Probability? - Definition, Formula & Examples
Have you ever heard someone ask, 'What are the odds?' Usually what it is meant is, 'How likely is it that an event will happen?' This lesson explores finding the likelihood, or theoretical probability, that an event could occur.
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Other chapters within the PLACE Elementary Education: Practice & Study Guide course
- PLACE Elementary Education: Literacy Development
- PLACE Elementary Education: Reading Strategies
- PLACE Elementary Education: Communication Strategies
- PLACE Elementary Education: Conventions & Spelling
- PLACE Elementary Education: Verbs, Tenses & Agreement
- PLACE Elementary Education: Research Skills
- PLACE Elementary Education: Literary Genres & Terms
- PLACE Elementary Education: Technology Basics
- PLACE Elementary Education: Technology & Society
- PLACE Elementary Education: Scientific Investigation
- PLACE Elementary Education: Physical Science
- PLACE Elementary Education: Life Science
- PLACE Elementary Education: Earth Science
- PLACE Elementary Education: Computation
- PLACE Elementary Education: Fractions, Decimals & Percents
- PLACE Elementary Education: Patterns & Functions
- PLACE Elementary Education: Equalities & Inequalities
- PLACE Elementary Education: Geometry
- PLACE Elementary Education: Measurement & Calculations
- PLACE Elementary Education: Foundations of Geography
- PLACE Elementary Education: US History (1400-1877)
- PLACE Elementary Education: US History (1877-1945)
- PLACE Elementary Education: US History from 1945
- PLACE Elementary Education: Colorado History
- PLACE Elementary Education: Culture & Society
- PLACE Elementary Education: Economics
- PLACE Elementary Education: Government
- PLACE Elementary Education: Global Concerns
- PLACE Elementary Education: Social Studies Research
- PLACE Elementary Education: Principles of Music
- PLACE Elementary Education: Visual & Performing Arts
- PLACE Elementary Education: Personal Health & Safety
- PLACE Elementary Education: Public Health
- PLACE Elementary Education: Physical Fitness
- PLACE Elementary Education Flashcards