About This Chapter
Probability & Statistics Interpretation - Chapter Summary
Our informative chapter on probability and statistics interpretation covers topics including the calculations needed to find median, mean, range and mode, plus the definition of a statistical outlier. You'll also review the definition of probability as it's used in math as well as the probability of compound, simple and complementary events. After completing this chapter, you should be able to:
- Explain classical approaches to probability
- Detail the relationship between independence and conditional probabilities
- Solve practice problems involving combination and permutation
- Calculate simple conditional probabilities
- Explain overlapping and non-overlapping events in either/or probability
- Read a two-way table
- Understand the basics of a Venn diagram
Use our flexible learning tools to prepare for an exam, complete your homework or catch up on missed class time. Each of our short video and text lessons is professionally designed and followed by a multiple-choice quiz to test your knowledge. You can jump to a specific section in any video lesson by using the video tabs feature. If you need assistance at any time, contact one of our instructors for help.
1. 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.
2. Outlier in Statistics: Definition & Explanation
An outlier is any value that is numerically distant from most of the other data points in a set of data. Learn about the sources of outliers, histograms, scatterplots, the number line, and more.
3. 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!
4. 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.
5. Permutation & Combination: Problems & Practice
In this lesson, we will practice solving various permutation and combination problems using permutation and combination formulas. We can continue our practice when we take a quiz at the end of the lesson.
6. Relative Frequency & Classical Approaches to Probability
To understand probability, it is important to understand the foundations. In this lesson, you will learn about relative frequency and the foundations of understanding probability.
7. The Relationship Between Conditional Probabilities & Independence
Conditional and independent probabilities are a basic part of learning statistics. It's important that you can understand the similarities and differences between the two as discussed in this lesson.
8. 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.
9. 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.
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. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union
The Venn diagram was introduced by John Venn. Yes, the Venn diagram is named after a real person! His idea was to show sets in terms of pictures. The Venn diagram is now used in many fields, including mathematics. Let's take a look at John Venn's idea.
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