About This Chapter
Data Distribution - Chapter Summary
Use this chapter to enhance your understanding of statistical calculations and concepts regarding the distributions of data. Review examples, definitions and processes that explain various methods relating to this topic.
You can also learn more about standard deviation, outliers, box plots, z-scores and more. After successfully completing your study of this chapter, you should be able to do the following:
- Describe the five-number summary in statistics
- Create box plots
- Determine the mean of a group of numbers
- Calculate the standard deviation of a data set
- Define and identify outliers
- Explain the terms center, shape and spread in statistics
- Describe the characteristics of normal distribution of data and solve relevant practice problems
- Understand the formula used for z-scores
Video and text lessons offer 24/7 accessibility and expert instruction so you can study when it's most convenient for you and ensure that you fully understand and retain this information. Easily contact instructors with lesson-specific questions and use your Dashboard to track your progress as you move through this chapter. Self-assessment quizzes help you determine the depth of your knowledge and possible need for further review.
1. 5 Number Summary in Statistics
You will learn about the 5 number summary in statistics. This includes finding the median, lower extreme, upper extreme, lower quartile, and upper quartile.
2. Creating & Interpreting Box Plots: Process & Examples
Box plots are an essential tool in statistical analysis. This lesson will help you create a box plot and understand its meaning. When you are finished, test your understanding with a short quiz!
3. Mean: Definition & Sample Problems
The arithmetic mean of a group of numbers is the technical term for the average of those numbers. This lesson tells you how to compute the mean and shows you how to do it with some real-world examples.
4. 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.
5. 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.
6. 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.
7. Identifying Outliers: Upper Fence & Lower Fence
Does your research have data that are just too high or too low to be included in a fair review of your data? This lesson gives the steps for finding upper and lower fences to identify outliers.
8. Normal Distribution of Data: Examples, Definition & Characteristics
In this lesson, we'll explore the normal distribution of data. Learn about the characteristics of normal distribution, how to plot histograms, the empirical rule, and more.
9. Z-Scores in Statistics Explained: Formula, Overview
The z-score is the number of standard deviations away from the mean. It allows for standardizing scores so that they can be compared across samples or tests.
10. Using the Normal Distribution: Practice Problems
In this lesson, we will put the normal distribution to work by solving a few practice problems that help us to really master all that the distribution, as well as Z-Scores, have to offer. Review the concepts with a short quiz at the end.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the VCE Further Mathematics: Exam Prep & Study Guide course
- Population & Samples
- Categorical Data Representation
- Numerical Data Representation
- Correlation & Causation in Math
- Non-Causal Relationships in Statistics
- Linear Relationships
- Time Series Data
- Recursion & Financial Modeling
- Concepts of Financial Mathematics
- Matrices Overview
- Graphs & Networks
- Paths & Circuits
- Problem Solving With Networks
- Geometric Solids
- Measurement & Trigonometry
- Spherical Geometry
- Applications of Spherical Geometry
- Graphs & Relations
- Linear Programming Overview
- VCE Further Mathematics Flashcards