Back To Course

ELM: CSU Math Study Guide17 chapters | 147 lessons | 7 flashcard sets

Start Your Free Trial To Continue Watching

As a member, you'll also get unlimited access to over 70,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Free 5-day trial
Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Yuanxin (Amy) Yang Alcocer*

Amy has a master's degree in secondary education and has taught math at a public charter high school.

Categorical data can be estimated but not predicted. Learn why in this video lesson along with how to read and gather information from a bar graph of categorical data.

**Categorical data** is data that can be grouped. Examples include age group, favorite color, dog breed, etc. These are all categorical in nature because if you ask different people about their favorite color, you can begin to separate the people into groups. You can separate them into groups that like blue, groups that like yellow, etc. The same goes for age group and dog breed. These categories can all be grouped.

A **bar graph**, a graph with bars of varying heights, is a good visual way to represent the categorical data from a survey for analysis. What you will usually see is your survey option on the x-axis and the results on the y-axis.

Let's look at one bar graph to see how we can make estimates and predictions using the data we see. The particular bar graph above shows the results of a survey we did asking people who kept *Bettas* as pets what color *Betta* they had. These are the results we got from our survey: we got 20 red *Bettas*, 30 blue *Bettas*, 15 purple *Bettas*, 4 white *Bettas* and 2 yellow *Bettas*.

Betta Color |
Result |
---|---|

Red | 20 |

Blue | 30 |

Purple | 15 |

White | 4 |

Yellow | 2 |

So, what kind of estimates and predictions can we make based on this information?

We can certainly make some estimates based on this information. From our graph, we see that blue is the tallest bar, so blue is the most popular color. We can estimate that the majority of *Betta* owners keep blue *Bettas*. We see that yellow is the shortest, so we can estimate that yellow *Bettas* are not as popular among *Betta* owners.

The majority of *Betta* owners keep blue, red and purple *Bettas*. So, if I had a *Betta* store, I would do best by selling these three colors. Yellows and whites are very few, so I wouldn't do so well by selling those. These are the kinds of estimates I can make based on what I see from our bar graph.

What about predictions? The thing about categorical data is that because they are groups, there is not much to say about other groups that aren't listed on the graph. If you don't have data for other groups, there is not much you can predict about them. With mathematical data, you can continue the pattern and make a prediction on what may happen with data that is outside the range of the data you have. But with categorical data, you can't do that because the groups you have data for are not connected to other groups.

Looking at our graph, can we make a prediction about colors that aren't listed? No, because we can't say for certain what color group will come next. And, there is no pattern to draw out.

What have we learned? We've learned that **categorical data** is data that can be grouped. A good visual way to represent categorical data is with a **bar graph**, a graph with bars of varying heights. We can make estimates about what is most common and what is least common, but we can't make predictions on categorical data.

Following this lesson, you'll have the ability to:

- Define categorical data and bar graph
- Explain how to read a bar graph
- Describe what kind of estimates you can make by reading a bar graph
- Summarize why you cannot make predictions based off categorical data

To unlock this lesson you must be a Study.com Member.

Create your account

Already a member? Log In

BackDid you know… We have over 160 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

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.

You are viewing lesson
Lesson
6 in chapter 5 of the course:

Back To Course

ELM: CSU Math Study Guide17 chapters | 147 lessons | 7 flashcard sets

- Statistical Analysis with Categorical Data 5:20
- Understanding Bar Graphs and Pie Charts 9:36
- Summarizing Categorical Data using Tables 4:57
- How to Calculate Percent Increase with Relative & Cumulative Frequency Tables 5:47
- What is a Two-Way Table? 3:40
- Make Estimates and Predictions from Categorical Data 3:13
- What is a Histogram in Math? - Definition & Examples 5:12
- What are Center, Shape, and Spread? 6:11
- How to Calculate Mean, Median, Mode & Range 8:30
- Describing the Relationship between Two Quantitative Variables 4:44
- Reading and Interpreting Line Graphs 6:09
- Making Estimates and Predictions using Quantitative Data 4:07
- Go to ELM Test - Numbers and Data: Data & Statistics

- College 101: College Prep & Retail Business Lite
- Recruiting & Managing the Multigenerational Workforce
- CTEL 1, 2, 3 Combined Exam (031/032/033): Study Guide & Practice
- MoGEA Science & Social Studies Subtest: Study Guide & Practice
- CSET Physical Education (129/130/131): Study Guide & Practice
- ICAS Science - Paper J Flashcards
- PSAT - Reading Test Flashcards
- NES Family & Consumer Sciences (310) Flashcards
- UExcel Bioethics - Philosophical Issues Flashcards
- TECEP College Algebra Flashcards
- How To Pass The Elementary Algebra Accuplacer
- Accuplacer Tips
- How to Study for the Accuplacer
- HESI Test Cost
- Study.com ASWB Scholarship: Application Form & Information
- ACCUPLACER Prep Product Comparison
- Accuplacer Test Locations

- Strategies for Teaching Semantics to ESOL Students
- Applying Morphology to ESOL Instruction
- Jim Crow Laws in To Kill a Mockingbird
- Teaching ELL Students Narrative Writing
- Sorting Algorithm Comparison: Strengths & Weaknesses
- Practical Application: Writing Job Interview Questions
- Calculate the Intrinsic Value of a Firm
- Practical Application for Software Engineering: Component-Level Design
- Quiz & Worksheet - Language Objective for ESL Students
- Quiz & Worksheet - Victorian Architecture
- Quiz & Worksheet - Origins of the Muslim-Hindu Conflict
- Quiz & Worksheet - Choosing Grade-Appropriate Texts
- Flashcards - Measurement & Experimental Design
- Flashcards - Stars & Celestial Bodies

- MTLE Earth & Space Science: Practice & Study Guide
- ACT Math Prep: Review & Practice
- Developing Strategic Thinking in Business
- CSET Social Science: Study Guide & Prep
- FSA - Grade 6 Math: Test Prep & Practice
- Types & Sources of Workplace Conflict
- SHSAT Math: Introduction to Geometric Figures
- Quiz & Worksheet - LBJ's Path to Presidency
- Quiz & Worksheet - Civil Rights Act of 1957
- Quiz & Worksheet - Active Verbs
- Quiz & Worksheet - Reproductive Isolation
- Quiz & Worksheet - Synopsis and Themes of The Old Man and the Sea

- Grassland Animal Adaptations
- How to Correct Vision Problems
- Constitution Lesson Plan
- Multiplication Lesson Plan
- Political Spectrum Lesson Plan
- Romeo and Juliet Prologue Lesson Plan
- Best LSAT Prep Course
- Multiplication Lesson Plan
- HRCI Online Recertification & Continuing Education Credit
- Communism Lesson Plan
- Excelsior College BS in Business Degree Plan Using Study.com
- TExES Music Exam Dates

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject