Back To Course

Geometry for Kids6 chapters | 45 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

Are you a student or a teacher?

Try Study.com, risk-free

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-freeWhat teachers are saying about Study.com

Already registered? Log in here for access

Your next lesson will play in
10 seconds

Lesson Transcript

Instructor:
*Nola Bridgens*

Nola has taught elementary school and tutored for four years. She has a bachelor's degree in Elementary Education, a master's degree in Marketing, and is a certified teacher.

In this lesson, we will discover what a frequency polygon is, what it looks like, and what it can be used for. We will also discuss the elements that every frequency polygon must have.

Say you were given a special project to analyze the data from last week's track meet and you are really excited to share the findings with your class. However, when you start looking through the data, you are overwhelmed by the numbers and wonder how you can make it more visually appealing. Then, you remember that your math teacher just taught you about **frequency polygons**, so you decide that is a great way to organize the track meet data.

A **frequency polygon** is a type of line graph that shows the frequency of a mutually exclusive event occurring. Seeing the data in this format helps us visualize and understand it better. All frequency polygons must have a title, *x*-axis, *y*-axis, and data points with a line connecting them.

The *x*-axis shows each of the mutually exclusive results from the data. The *y*-axis is a scale that shows the frequency of that result in the data. The data points are dots on the graph that align each mutually exclusive result with the frequency of its occurrence. Then, a line is drawn to connect all of the data points, and the two end points must lie on the *x*-axis.

Let's look at the data for the specific track meet events to help us better understand.

Your favorite sport is the long jump, so you decide to start your project with this event. You flip to the page of long jump statistics and find the following information:

16ft 15ft 16ft 16ft 14ft 12ft 15ft

15ft 14ft 15ft 16ft 12ft 14ft 16ft

16ft 15ft 14ft 12ft 13ft 15ft 16ft

The first thing you notice is that all of the jumps are between 12 and 16 feet, so you choose to use the numbers 12, 13, 14, 15, and 16 as the mutually exclusive results on the *x*-axis. The next thing you do is count how many times each result occurred in the data and you find the following:

12ft -- 3

13ft -- 1

14ft -- 4

15ft -- 6

16ft -- 7

The range of frequencies is 1-7, so your scale on the *y*-axis needs to have this range. You plot the data points and draw a line that connects them and that begins and ends on the *x*-axis. Now, you can clearly see that most of the jumps were 16 feet and only one jump was 13 feet. You are feeling really confident and are ready to graph the next track meet event.

The next page lists the times for the 100-meter dash. There were 14 runners in all, and their finish times are as follows:

10 sec. 12 sec. 13 sec. 11 sec. 12 sec. 13 sec. 11 sec.

12 sec. 11 sec. 13 sec. 12 sec. 11 sec. 12 sec. 12 sec.

You notice that all of the times are between 10 and 13 seconds, so you decide to use the numbers 10, 11, 12, and 13 as the mutually exclusive results on the *x*-axis. The next step is to count how many times each result occurred in the data:

10 sec. -- 1

11 sec. -- 4

12 sec. -- 6

13 sec. -- 3

The range of frequencies is 1-6, so your scale on the *y*-axis needs to have this range. You plot the data points and draw a line connecting them that begins and ends on the *x*-axis. The frequency polygon allows you to see that most of the runners ran the 100-meter dash in 12 seconds and only one runner ran it in 10 sec.

We learned that a **frequency polygon** is a line-based graphical representation of the frequency of an event occurring in a data set. All frequency polygons have a title, *x*-axis, *y*-axis, and data points with a line connecting them.

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

Create your account

Are you a student or a teacher?

Already a member? Log In

BackWhat teachers are saying about Study.com

Already registered? Log in here for access

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

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
10 in chapter 3 of the course:

Back To Course

Geometry for Kids6 chapters | 45 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

- What is an Annulus in Math? - Definition & Formula
- What is an Apex in Math?
- What is Asymmetry in Math? - Definition & Examples
- What is the Center of Rotation?
- How to Find the Center of Rotation
- What is a Closed Curve?
- Cones Lesson for Kids: Definition & Properties 2:55
- Cylinder Lesson for Kids: Definition & Facts 3:24
- Ellipse Definition: Lesson for Kids
- What is a Frequency Polygon? - Definition & Examples 3:44
- What is a Hemisphere in Math? - Definition & Example 2:49
- Surface Area of a Hemisphere
- What is a Hexahedron?
- What is an Icosahedron? - Definition & Facts
- Major & Minor Arcs of a Circle
- Surface Area & Volume of an Octahedron
- What is the Order of Rotational Symmetry?
- What is an Oval? - Definition & Shapes 2:37
- Parallelogram Lesson for Kids
- What are Plane Shapes? - Definition & Examples 3:09
- Plane Shapes: Types & Properties 3:22
- What is a Quadrangle? - Definition & Shapes 3:22
- Quadrilateral Lesson for Kids: Definition & Shapes
- Rhombus Lesson for Kids: Definition & Facts
- Go to Shapes in Geometry for Elementary School

- Praxis Core Academic Skills for Educators - Mathematics (5733): Study Guide & Practice
- 7th Grade Math: Homeschool Curriculum
- 8th Grade Math: Homeschool Curriculum
- 7th Grade Life Science: Homeschool Curriculum
- 8th Grade Language Arts: Homeschool Curriculum
- Advanced Encumbrances in Real Estate
- Advanced Transfer of Real Property
- Advanced Property Ownership Issues
- Overview of Contracts In Real Estate Transactions
- Obtaining a Real Estate Loan
- Top Blogs for New Homeschool Parents
- CEOE Test Retake Policy
- Study.com Customer Service FAQs: Login, Cost & Support Email
- Study.com Refund: How to Request a Refund from Study.com
- California Real Estate Exam Dates
- How to Study for the FSA Exam
- FSA Test Cost

- Ruler Drop Test for Reaction Time
- The Suez Canal: History, Location & Importance
- Analytical Thesis Statement Examples
- How Environment Impacts Early Childhood Development
- Using Context Clues to Complete a Sentence
- Auricular Chondritis: Definition, Symptoms & Treatment
- My Beloved World Discussion Questions
- Quiz & Worksheet - Questions on Animal Farm Chapter 3
- Quiz & Worksheet - Geography of the Southern US
- Quiz & Worksheet - Pablo Neruda
- Quiz & Worksheet - How Organ Systems Work Together
- Flashcards - Real Estate Marketing Basics
- Flashcards - Promotional Marketing in Real Estate
- What is STEM Education?
- NGSS | Next Generation Science Standards Guide for Teachers

- High School Biology Curriculum Resource & Lesson Plans
- CSET Science Subtest I - General Science (215): Practice & Study Guide
- NMTA Mathematics (304): Practice & Study Guide
- AP Macroeconomics: Homeschool Curriculum
- Biology 101: Intro to Biology
- Basic French Verbs
- Medieval Literature Lesson Plans & Resources
- Quiz & Worksheet - Stock Price Factors
- Quiz & Worksheet - Using Fermentation to Make Alcohol
- Quiz & Worksheet - English Simple Past Tense
- Quiz & Worksheet - Fractions in Everyday Life
- History of Musical Theatre: Quiz & Worksheet for Kids

- How Are ELL Students Identified?
- Guy Fawkes Art Activities
- How to Ace Your Job Interview
- How to Publish in a Scientific Journal
- 504 Plans in Arizona
- Monroe Doctrine Lesson Plan
- SAT Subject Tests: Registration & Test Dates
- How to Pass the Series 7 Exam
- Multiplication Lesson Plan
- Study.com and TESU
- Easy Science Experiments to Do at Home
- Should I Use a Resume Writing Service?

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

Browse by subject