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Grouped Data to Find the Mean

Using interval midpoints to calculate mean

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Grouped Data to Find the Mean 1
Teacher Contributed

Grouped Videogame Data


Find the mean of grouped video game data


  • 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.
  2. Find the mean age of established gamers.
  3. What are the benefits of grouping data?
  4. What are the disadvantages of grouping data?

Resources Cited



Connections to other CK-12 Subject Areas

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

Image from: http://pixabay.com/en/joystick-box-video-controller-icon-38230/

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