About This Chapter
Praxis I Math: Data and Statistics - Chapter Summary
This chapter helps you read and understand bar graphs, pie charts, and line graphs in preparation for the Praxis I Math exam. It also covers the topic of probability and how to calculate the different types. At the end of this chapter, you should be able to do the following:
- Interpret and create scatterplots
- Calculate standard deviation
- Find measures of central tendency; i.e. mean, median, and mode
- Define and measure simple random samples
- Interpret linear relationships using data
- Write and evaluate real-life linear models
- Define and explain the difference between correlation and causation
- Calculate simple conditional probabilities, the probability of permutations, and the probability of combinations
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1. 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.
2. 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.
3. 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.
4. Mean, Median & Mode: Measures of Central Tendency
By describing the data using central tendency, a researcher and reader can understand what the typical score looks like. In this lesson, we will explore in more detail these measures of central tendency and how they relate to samples and populations.
5. Calculating the Standard Deviation
In this lesson, we will examine the meaning and process of calculating the standard deviation of a data set. Standard deviation can help to determine if the data set is a normal distribution.
6. 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.
7. What is Random Sampling? - Definition, Conditions & Measures
Random sampling is used in many research scenarios. In this lesson, you will learn how to use random sampling and find out the benefits and risks of using random samples.
8. Simple Random Samples: Definition & Examples
Simple random sampling is a common method used to collect data in many different fields. From psychology to economics, simple random sampling can be the most feasible way to get information. Learn all about it in this lesson!
9. Interpreting Linear Relationships Using Data: Practice Problems
Understanding linear relationships is an important part of understanding statistics. This lesson will help you review linear relationships and will go through three practice problems to help you retain your knowledge. When you are finished, test out your knowledge with a short quiz!
10. Writing & Evaluating Real-Life Linear Models: Process & Examples
You make decisions about budgeting and other financial issues using linear models without even realizing it. Learn how to write and evaluate linear models.
11. Correlation vs. Causation: Differences & Definition
When conducting experiments and analyzing data, many people often confuse the concepts of correlation and causation. In this lesson, you will learn the differences between the two and how to identify one over the other.
12. How to Calculate Simple Conditional Probabilities
Conditional probability, just like it sounds, is a probability that happens on the condition of a previous event occurring. To calculate conditional probabilities, we must first consider the effects of the previous event on the current event.
13. How to Calculate the Probability of Permutations
In this lesson, you will learn how to calculate the probability of a permutation by analyzing a real-world example in which the order of the events does matter. We'll also review what a factorial is. We will then go over some examples for practice.
14. How to Calculate the Probability of Combinations
To calculate the probability of a combination, you will need to consider the number of favorable outcomes over the number of total outcomes. Combinations are used to calculate events where order does not matter. In this lesson, we will explore the connection between these two essential topics.
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Other chapters within the Praxis Core Academic Skills for Educators - Mathematics (5733): Study Guide & Practice course
- About the Praxis Math Core Test
- Praxis I Math: Integers, Fractions & Decimals
- Praxis I Math: Percents
- Praxis I Math: Rates
- Praxis I Math: Properties of Whole Numbers
- Praxis I Math: Solving Real-Life Problems
- Praxis I Math: Units, Conversion & Measurements
- Praxis I Math: Properties of Basic Operations
- Praxis I Math: Algebra
- Praxis I Math: Linear & Quadratic Equations
- Praxis I Math: Geometry
- Praxis Core Academic Skills for Educators: Math Flashcards