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Grouped Data to Find the Mean

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Grouped Data to Find the Mean 1 - Answer Key

Grouped Videogame Data

Topic

Find the mean of grouped videogame data

Vocabulary

  • Mean
  • Grouped Data

Student Exploration

How do you find the mean of grouped data? Why and when is it usual to have data in groups?

Many times the data from surveys is grouped according to different factors: age, usage, time, etc. You can see this in the following tables representing the percentage of 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

Analyze the tables above and then answer the following questions:

  1. Find the mean age of new gamers. 31.59 is the mean age of new gamers.
  2. Find the mean age of established gamers. 29.985 \approx 30 is the mean age of established gamers.
  3. What are the benefits of grouping data? A benefit of grouping data is that you can break a lot of data into subgroups and examine what is happening in those subgroups. In addition, if you want to examine a lot of data, grouping can be an efficient way to look at the data. You can also analyze what is happening with subgroups much more easily when grouping it.
  4. What are the disadvantages of grouping data? A major disadvantage of grouping data is that it causes less accurate analysis of the data. When grouping the data you might overlook other important subgroups. In addition, grouping is not helpful when there are not equal subgroups or there are outliers (extremes).

Resources Cited

http://www.grabstats.com/statcategorymain.asp?StatCatID=13

http://www.onlineeducation.net/videogame

Connections to other CK-12 Subject Areas

  • Mean
  • Ungrouped Data to Find the Mean
  • Frequency Polygons
  • Histograms

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