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# Frequency Polygons

## Constructing a graph connecting points of frequency for each interval.

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Frequency Polygons
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## Create a Frequency Polygon for Videogame Statistics

### Topic

Create a Frequency Polygon for Videogame Statistics

### Vocabulary

• Frequency Polygon
• Midpoint
• Interval
• Bin
• Histogram

### Student Exploration

#### How can you represent the age of gamers in a frequency polygon? Why and when is a frequency polygon a useful graph?

Many times the data from surveys is grouped according to different factors: age, usage, time, etc. This can then make it difficult to make a graphic representation for the data, however this is not the case with frequency polygons. The following tables represent the percentage of video game players (gamers) by age. The first table represents that data for new gamers, people who only played for less than two years. The second table represents data for established gamers, people who played for more than two years. The data was collected from, http://www.grabstats.com/statcategorymain.asp?StatCatID=13 and http://www.onlineeducation.net/videogame.

Table representing the percentage of new gamers (less than two years playing) by age.
Age Percentage
12-17 17
18-24 16
25-34 27
35-44 20
45-54 20
Table representing the percentage of established gamers (played for more than two years) by age.
Age Percentage
12-17 22
18-24 19
25-34 22
35-44 20
45-54 17
1. Create a frequency polygon representing the percentage of new gamers by age.
2. What does this graph tell you about the age of new gamers? Explain and give evidence.
3. Create a frequency polygon representing the percentage of established gamers by age.
4. What does this graph tell you about the age of established gamers? Explain and give evidence.
5. Scan and upload your graph to the CK-12’s website to share with other students! You can also use educreations.com to record your discussion of your double box-and-whisker plots and then upload your video to the CK-12’s website!

### Extension Investigation

Histograms and frequency polygons are very similar graphic representations of data.

1. What are the differences of the two types of graphs? Explain.
2. What are the advantages of frequency polygons over histograms?
1. Give an example of a situation where they would be more useful.
3. What are the advantages of histograms over frequency polygons?
1. Give an example of a situation where they would be more useful.

### Connections to other CK-12 Subject Areas

• Mean
• Ungrouped Data to Find the Mean
• Grouped Data to Find the Mean
• Histograms
• Applications of Histograms.

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