# Ch 35: Measuring & Displaying Data

### About This Chapter

## Measuring & Displaying Data - Chapter Summary

This chapter's comprehensive lessons teach you how to choose and use an appropriate measurement scale to answer research questions and analyze data. A variety of formats for displaying data are covered, including tables, pie charts and histograms. You'll look at the measures of central tendency, such as mean, median and mode, as well as learning the difference between mean and median. Dispersion, which includes range and standard deviation, is also included in this chapter. A practice lesson will give you a chance to use what you've studied in calculating mean, median, mode and range.

Another lesson covers the application of linear transformations, such as stretching and shrinking, and describes the effect of these transformations on measures of central tendency and dispersion. You'll learn about standard deviation and shifts in the mean. By the end of this chapter's lessons, you'll have a solid understanding of topics that include:

- Quantitative data
- Meaning of nominal, ordinal, interval and ratio
- Creating and interpreting histograms
- Dot plots and box plots
- Calculating mean, median, mode and ratio
- Spread, shape, symmetry and skewness in data sets
- Maximums, minimums and outliers
- Quartiles and the interquartile range

Expert instructors guide you through each topic, using examples from the real world to make their points. Written transcripts of the lessons accompany the videos, giving you access to this material in two formats. You can test what you've learned with the multiple-choice quizzes at the end of each lesson. The questions contain links that lead back to key points and passages, making it easy to review material without re-watching the lesson in its entirety.

### 1. What is Quantitative Data? - Definition & Examples

Watch this video lesson to find out the difference between saying you have seven apples and saying that those apples are delicious. You will learn about quantitative data and why it is useful.

### 2. Nominal, Ordinal, Interval & Ratio Measurements: Definition & Examples

Different types of data can be grouped and measured in different ways. In this lesson, you will learn about nominal, ordinal, interval, and ratio measurements.

### 3. 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.

### 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. Creating & Interpreting Histograms: Process & Examples

Creating histograms can help you easily identify and interpret data. This lesson will give you several examples to better understand histograms and how to create them.

### 6. 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.

### 7. Creating & Interpreting Dot Plots: Process & Examples

Dot plots are a visual way to display the frequency distribution in a data set. In this lesson, you will learn how to construct a dot plot and understand its uses.

### 8. 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!

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### Other Chapters

Other chapters within the TExES Mathematics 7-12 (235): Practice & Study Guide course

- About the TExES Math 7-12 Exam
- Real Numbers
- Mathematical Models
- Complex Numbers & the Complex Plane
- Number Theory
- Number Patterns
- Functions and Graphs
- Linear Functions
- Quadratic Functions & Polynomials
- Evaluating Piecewise & Composite Functions
- Rational and Radical Functions
- Inequalities and Absolute Values
- Exponentials & Logs
- The Unit Circle
- Trigonometric Functions
- Using a Scientific Calculator for Calculus
- Understanding Limits in Math
- Understanding Rate of Change
- Calculating Derivatives of Functions
- Derivatives and Graphs
- Optimization in Calculus
- Definite Integrals and Sums
- Integration Applications in Calculus
- Working with Measurement
- Finding Volume, Area & Perimeter
- Introduction to Proofs and Constructions
- Congruence and Similarity
- Triangles
- Circles
- Real World Shapes
- Coordinate Geometry
- Understanding Transformations in Math
- Conic Sections
- Understanding Vectors
- Data Distribution Overview
- Sampling in Statistics
- Distribution & Inference in Statistics
- Inference About a Mean
- Regression and Correlation
- Finding Probability
- Probability Distributions and Statistical Inference
- Experiments and Surveys
- Mathematical Process & Perspectives
- Teaching Strategies & Activities for the Math Classroom
- Differentiated Instructional Strategies for the Math Classroom
- Using Student Assessments in the Math Classroom
- TExES Mathematics 7-12 Flashcards