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 at least two (2) technology tools 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/calculatingmeanstandarddev

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# Men's and Women's 2015 World Championship – Final Results

## Men's 2015 World Championship – Top 17 Finishers

| Rank | Name                | Nationality        | Time (seconds) |
|------|---------------------|--------------------|----------------|
| 1    | Mo Farah            | Great Britain (GBR)| 1621.13        |
| 2    | Geoffrey Kipsang    | Kenya (KEN)        | 1621.76        |
| 3    | Paul Tanui          | Kenya (KEN)        | 1622.83        |
| 4    | Bedan Karoki        | Kenya (KEN)        | 1624.77        |
| 5    | Galen Rupp          | United States (USA)| 1628.91        |
| 6    | Abrar Osman         | Eritrea (ERI)      | 1663.21        |
| 7    | Ali Kaya            | Turkey (TUR)       | 1663.69        |
| 8    | Timothy Toroitich   | Uganda (UGA)       | 1664.90        |
| 9    | Joshua Kiprui Cheptegei | Uganda (UGA)   | 1668.89        |
| 10   | Muktar Edris        | Ethiopia (ETH)     | 1674.47        |
| 11   | Mosinet Geremew     | Ethiopia (ETH)     | 1687.50        |
| 12   | El Hassan El-Abassi | Bahrain (BHR)      | 1692.57        |
| 13   | Nguse Tesfaldet     | Eritrea (ERI)      | 1694.72        |
| 14   | Cameron Levins      | Canada (CAN)       | 1695.19        |
| 15   | Hassan Mead         | United States (USA)| 1696.30        |
| 16   | Shadrack Kipchirchir| United States (USA)| 1696.30        |
| 17   | Arne Gabius         | Germany (GER)      | 1704.47        |

## Women's 2015 World Championship – Top 17 Finishers

| Rank | Name               | Nationality       | Time (seconds) |
|------|--------------------|
Transcribed Image Text:# Men's and Women's 2015 World Championship – Final Results ## Men's 2015 World Championship – Top 17 Finishers | Rank | Name | Nationality | Time (seconds) | |------|---------------------|--------------------|----------------| | 1 | Mo Farah | Great Britain (GBR)| 1621.13 | | 2 | Geoffrey Kipsang | Kenya (KEN) | 1621.76 | | 3 | Paul Tanui | Kenya (KEN) | 1622.83 | | 4 | Bedan Karoki | Kenya (KEN) | 1624.77 | | 5 | Galen Rupp | United States (USA)| 1628.91 | | 6 | Abrar Osman | Eritrea (ERI) | 1663.21 | | 7 | Ali Kaya | Turkey (TUR) | 1663.69 | | 8 | Timothy Toroitich | Uganda (UGA) | 1664.90 | | 9 | Joshua Kiprui Cheptegei | Uganda (UGA) | 1668.89 | | 10 | Muktar Edris | Ethiopia (ETH) | 1674.47 | | 11 | Mosinet Geremew | Ethiopia (ETH) | 1687.50 | | 12 | El Hassan El-Abassi | Bahrain (BHR) | 1692.57 | | 13 | Nguse Tesfaldet | Eritrea (ERI) | 1694.72 | | 14 | Cameron Levins | Canada (CAN) | 1695.19 | | 15 | Hassan Mead | United States (USA)| 1696.30 | | 16 | Shadrack Kipchirchir| United States (USA)| 1696.30 | | 17 | Arne Gabius | Germany (GER) | 1704.47 | ## Women's 2015 World Championship – Top 17 Finishers | Rank | Name | Nationality | Time (seconds) | |------|--------------------|
**Statistics & the Olympic Games**

The 10,000 meters is a standard track event and 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 at least two (2) technology tools 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: 
     [Calculating Mean and Standard Deviation](http://researchbasics.education.uconn.edu/calculatingmeanstandarddev)

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 20th 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 these 20th 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: 
     [Time Unit Conversion](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
Transcribed Image Text:**Statistics & the Olympic Games** The 10,000 meters is a standard track event and 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 at least two (2) technology tools 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: [Calculating Mean and Standard Deviation](http://researchbasics.education.uconn.edu/calculatingmeanstandarddev) 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 20th 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 these 20th 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: [Time Unit Conversion](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
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