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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
teacher Contributed

Finding the Mean MLS salary from Grouped Data

Topic

Finding the Mean MLS salary in Grouped Data

Vocabulary

  • Mean
  • Grouped Data

Student Exploration

What is the mean MLS salary? How do you find it when the salaries are grouped together?

Below is a table of the grouped salaries for the Major League Soccer (MLS) players for the 2012 season, as reported at the following website. The MLS is the highest level of professional soccer in the United States and Canada.

http://www.altiusdirectory.com/Sports/mls-salaries.php

Calculate the mean of the MLS player Salaries from the grouped data table.

MLS player salaries for 2012.
Salary Number of Players
0 – 50,000 99
50,001 – 100,000 80
100,001 – 150,000 68
150,001 – 200,000 39
200,001 – 250,000 13
250,001 – 300,000 4
300,001 – 350,000 5
350,001 – 400,000 3
400,001 – 450,000 3
450,001 – 500,000 3
500,001 – 550,000 0
550,001 – 600,000 0
600,001 – 650,000 0
650,001 – 700,000 0
700,001 – 750,000 0
750,001 – 800,000 2
800,001 – 850,000 0
850,001 – 900,000 0
900,001 – 950,000 1
950,001 – 1,000,000 0
1,000,001 – 1,050,000 0
1,050,001 – 1,100,000 0
1,100,001 – 1,150,000 0
1,150,001 – 1,200,000 0
1,200,001 – 1,250,000 0
1,250,001 – 1,300,000 0
1,300,001 – 1,350,000 1
... 0
2,900,001 – 2,950,000 1
... 0
6,500,001 – 6,550,000 1

Extension Investigation

The mean of the ungrouped data is $147,693. Compare the mean of the grouped data to the mean of the ungrouped data.

Resources Cited

http://www.altiusdirectory.com/Sports/mls-salaries.php

Connections to other CK-12 Subject Areas

  • Mean
  • Ungrouped Data to Find the Mean

Image Attributions

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