Lesson 4
1. Lesson 4
1.3. Explore 2
Module 4: Statistics
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In Self-Check 1 you looked at different situations and tried to decide which measure of central tendency is the most appropriate to use. In the next Self-Check you will think about how different measures of central tendency can be helpful to different people, depending on the focus the person has. If you choose a measure of central tendency that favours a particular viewpoint, then the results can be misleading to some people.
Self-Check 2
Revisit the 2011 Washington Capitals’ salaries table from Lesson 1. Use this table to answer questions 1 to 5.
2011 Salaries of Washington Capitals |
|
Alexander Ovechkin |
$9 000 000 |
Alexander Semin |
$6 700 000 |
Brooks Laich |
$6 500 000 |
Nicklas Backstrom |
$6 000 000 |
Mike Green |
$5 000 000 |
Dennis Wideman |
$4 500 000 |
Roman Hamrlik |
$3 500 000 |
Joel Ward |
$3 000 000 |
Tom Poti |
$3 000 000 |
Jeff Schultz |
$2 500 000 |
Troy Brouwer |
$2 350 000 |
Eric Fehr |
$2 200 000 |
Mike Knuble |
$2 000 000 |
Jason Chimera |
$1 875 000 |
John Erskine |
$1 500 000 |
Tomas Vokoun |
$1 500 000 |
Michal Neuvirth |
$1 150 000 |
Marcus Johansson |
$900 000 |
Matt Hendricks |
$850 000 |
Jeff Halpern |
$825 000 |
John Carlson |
$787 000 |
D. J. King |
$650 000 |
Braden Holtby |
$550 000 |
Jay Beagle |
$525 000 |
Keith Aucoin |
$525 000 |
Patrick McNeill |
$525 000 |
Ryan Potulny |
$525 000 |
- Would other sports teams have a similar set of data? Explain why or why not. Answer
- Calculate the mean, median, and mode for earnings. Answer
- If you were the general manager of this team and had to report the average salary of your players to the following audiences, which measure would you use and why?
- ticket holders
- potential players
- your accountant
Answer - Calculate two different trimmed means for this data. Answer
- Does one of the trimmed means from question 5 better represent the central tendency of this data? If so, explain why. Answer
- Give situations where one of the measures of central tendency is more useful than the others. Answer
- What is another data set that would have very different values for the three measures of central tendency? Answer