Statistics & the Olympic Games The 10,000 meters is a standard track event and it is a part of both the Olympic Games and World
Championships. A sample from the top 17 finishers of the men's and women's races from the 2015 World
Championships are listed in the attached data tables.
1. Calculate the mean, median, range, and standard deviation for each data set.
You are expected to use a technology tool to make your calculations (such as a calculator, Microsoft Excel, etc.).
State specifically what technology you used. If you choose to use Microsoft Excel, instructions for these
calculations can be found here: http://researchbasics. education. uconn. edu/
2. Suppose the timing device used in the men's race failed to activate at the start of the race and instead began to
record the times x seconds into the race.
Consider how the competitors' times would be affected.
Would the x seconds be added to or subtracted from the times recorded to find the true times? Would
the median you calculated in question #1 be affected? If yes, how? If no, why not?
3. Determine who placed 20" in the men's and in the women's 10,000 meter races at the 2016 Summer Olympics in
Rio de Janeiro
Record the names, nationalities, and times.
Be sure to properly cite at least two (2) sources on a Works Cited page.
Under Assignment Specifications below, there are some guidelines to help you with citing your sources.
4. If both of those 20" place finishers from question #3, had competed in the 2015 World Championships with their
2016 Olympic time, where would they have placed?
Which one would have done relatively better than the other at the 2015 World Championships? Justify
your answer mathematically. Consider using more than one method to justify your answer. For assistance
converting minutes into seconds, view this video: https://www. khanacademy. org/math/4th-engage-
ny/engage-4th-module-7/4th-module-7 -topic- a/v/time-unit-conversion
5.
The calculation for standard deviation is accredited to Francis Galton. In three to five sentences, describe the life of
Francis Galton and specifically why he may have needed a calculation for the standard deviation or variance.