About This Chapter
FTCE: Data Analysis and Probability - Chapter Summary
If you're preparing for the Florida Teacher Certification Examinations (FTCE) General Knowledge Test, it might be a good idea to refresh your skills in data analysis and probability. This chapter's video lessons can teach you to analyze data and solve problems using various types of graphical representations, including bar, line and circle graphs, charts, histograms, pictographs ad tables. Other topics covered in this chapter include the following:
- Making estimates and predictions from categorical data
- Summarizing categorical data using tables
- Making estimates and predictions using quantitative data
- Calculating mean, median, mode and range
- Standard deviation and shifts in the mean
- Probability of independent and dependent events
- Probability of simple, compound and complementary events
- Calculating the probability of math combinations
- Calculating the probability of permutations
Objectives of the FTCE: Data Analysis and Probability Chapter
If you want to work as a K-12 teacher at a public school in Florida, you'll need to earn certification. One step in the certification process is passing the FTCE General Knowledge Test, which will assess your skills in mathematics, reading, English and writing. The math subtest features 45 multiple-choice questions, including approximately 20% focused on data analysis and probability. You'll have 100 minutes to complete this subtest, and you'll be able to use a four-function calculator provided by your testing center.
Our video lessons on data analysis and probability each feature a self-assessment quiz and a video. While you can complete these lessons in any manner you choose, you might first take the quiz to identify areas where you need extra work. You'll still be able to test your skills after watching the video; in fact, you can take the quiz as many times as you'd like to make sure your knowledge is up to par.
1. How to Use the Fundamental Counting Principle
There are many situations in which you will have to make several decisions simultaneously. The fundamental counting principle will help you determine how many different possible outcomes there are when you have to make multiple simultaneous decisions.
2. 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.
3. Contingency Table: Statistics, Probability & Examples
In statistics, dealing with situations where there are more than one variable can be difficult. Contingency tables can provide a way to make sense of the data given. This lesson will describe contingency tables and give some examples of them.
4. 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.
5. Tree Diagrams in Math: Definition & Examples
Explore what a tree diagram is and how to use it to organize information and answer questions about various outcomes of a particular event in this lesson. See how to create a tree diagram through multiple examples and a detailed explanation.
6. Probability of Independent and Dependent Events
Sometimes probabilities need to be calculated when more than one event occurs. These types of compound events are called independent and dependent events. Through this lesson, we will look at some real-world examples of how to calculate these probabilities.
7. Probability of Simple, Compound and Complementary Events
Simple, compound, and complementary events are different types of probabilities. Each of these probabilities are calculated in a slightly different fashion. In this lesson, we will look at some real world examples of these different forms of probability.
8. Either/Or Probability: Overlapping and Non-Overlapping Events
Statistics is the study and interpretation of a set of data. One area of statistics is the study of probability. This lesson will describe how to determine the either/or probability of overlapping and non-overlapping events.
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Other chapters within the FTCE General Knowledge Test (GK) (082): Study Guide & Prep course
- About the FTCE General Knowledge Test
- FTCE: Word Choice
- FTCE: Sentence Structure
- FTCE: Grammar Skills
- FTCE: Spelling, Capitalization & Punctuation
- FTCE: Essay Skills
- FTCE: Essay Writing
- FTCE: Literal Reading Comprehension
- FTCE: Inferential Comprehension
- FTCE: Number Sense and Math Operations
- FTCE: Measurement
- FTCE: Geometry and Spatial Sense
- FTCE: Algebraic Thinking
- FTCE: The Coordinate Plane
- FTCE: Data Analysis
- Studying for FTCE General Knowledge
- FTCE General Knowledge Test Flashcards