About This Chapter
Measuring & Graphing Statistical Distributions - Chapter Summary
In this chapter, our instructors explain how statistical distributions are measured and graphed. You'll learn more about scatterplots and line graphs, how to calculate averages and what histograms are. You can work at your own pace with our mobile-friendly learning tools, available 24 hours a day. Each lesson is followed by a multiple-choice quiz that can help you study for a test or see how well you understand the material. If you have questions, feel free to reach out to an instructor for help. After completing this chapter, you should be able to:
- Differentiate between statistical and non-statistical questions
- Describe the different types of bar graphs
- Calculated median, mode, mean and range
- Explain how random, biased and representative samples are different
- Define measures of central tendency
- Create box plots and interpret them
- Read a stem and leaf display
- Give an example of a circle graph
- Construct a box-and-whisker plot
- Detail some of the different visual representations used for a data set
- Discuss some of the misleading uses of statistics
- Use quantitative data to make predictions and estimates
1. Statistical vs Non-Statistical Questions
Watch this video lesson and you will learn how to spot statistical and non-statistical questions. You will learn that statistical questions have variance in their answers while non-statistical questions don't.
2. Scatterplots and Line Graphs: Definitions and Uses
After watching this video, you will be able to understand scatter plots and line graphs. You will also be able to use them to tell people a story about what you see and observe. You will also be able to read them.
3. Bar Graph: Definition, Types & Examples
A bar graph is a mathematical representation of data. In this lesson, you will learn the definition of a bar graph, including how to recognize the different types of bar graphs. You will also learn how to create bar graphs.
4. 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.
5. Identifying & Calculating Averages
After watching this video lesson, you will be able to calculate any kind of average, even the average of certain events when some events repeat. Learn the general formula to use to calculate any average.
6. 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.
7. Samples: Representative, Random & Biased
When conducting statistical research, a great deal of importance hinges on the type of sample you use. In this lesson, we will learn about representative, random, and biased samples, as well as which is best for what situation.
8. 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.
9. Measures of Central Tendency: Definitions & Practice
After watching this video, you will be able to explain the meaning of the terms central tendency, mode, mean and median. You will also be able to calculate these three values from provided data. A short quiz will follow.
10. 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!
11. Creating & Reading Stem & Leaf Displays
Every once in a while you will come across stem-and-leaf displays in statistics. These displays can be very useful in identifying all of the values in a data set while still visually representing the data.
12. Circle Graph: Definition & Examples
A circle graph is a circular chart divided into sections that each represent a percentage of the total. This lesson will define a circle graph and give some examples of types of circle graphs.
13. Read, Interpret & Construct Box-and-Whisker Plots
Box-and-whisker plots may be different than the other graphs you've learned about. Instead of showing the quantity of data, they help us figure out how spread out a set of data is. Learn how to make and read one, then test your skills with a short quiz.
14. Visual Representations of a Data Set: Shape, Symmetry & Skewness
Visual representations are a fantastic way of understanding and analyzing your data. Use this lesson to understand the characteristics of visual representations of data.
15. Misleading Uses of Statistics
It can be too easy to present statistics in a way that is misleading. This lesson will cover the ways in which a statistic can be misleading and how to avoid and identify misleading statistics.
16. 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.
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Other chapters within the 8th Grade Math course
- Number Systems & Theory
- Problem-Solving in Real World Math
- Algebraic Expressions & Equations
- Graphing Lines & Inequalities
- Proportional Relationships & Linear Equations
- 6th-8th Grade Algebra: Systems of Linear Equations
- Graphical Transformations
- Geometry of Congruent & Similar Figures
- Geometry & Properties of Triangles
- Geometry of Three-Dimensional Objects
- Evaluating & Calculating Probability