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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?

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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Men's 2015 World Championship – Final Results (top 17 finishers) Rank Name Nationality Time (seconds) Great Britain (GBR) Kenya (KEN) Kenya (KEN) Kenya (KEN) United States (USA) Eritrea (ERI) Turkey (TUR) 1 Mo Farah 1621.13 Geoffrey Kipsang Paul Tanui 1621.76 1622.83 4 Bedan Karoki 1624.77 Galen Rupp 1628.91 Abrar Osman 1663.21 Ali Kaya Timothy Toroitich Joshua Kiprui Cheptegei 7 1663.69 8. Uganda (UGA) 1664.90 Uganda (UGA) Ethiopia (ETH) Ethiopia (ETH) Bahrain (BHR) Eritrea (ERI) 1668.89 10 Muktar Edris 1674.47 11 Mosinet Geremew 1687.50 12 El Hassan El-Abbassi Nguse Tesfaldet Cameron Levins 1692.57 13 1694.72 14 Canada (CAN) 1695.19 15 Hassan Mead United States (USA) 1696.30 Shadrack Kipchirchir Arne Gabius United States (USA) Germany (GER) 16 1696.30 17 1704.47 Women's 2015 World Championship – Final Results (top 17 finishers) Rank Name Nationality Time (seconds) Vivian Cheruiyot Kenya (KEN) 1901.31 Gelete Burka Ethiopia (ETH) United States (USA) 1901.77 Emily Infeld Molly Huddle Sally Kipyego 3 1903.49 United States (USA) Kenya (KEN) United States (USA) 4 1903.58 1904.42 6 Shalane Flanagan 1906.23 7 Alemitu Heroye Ethiopia (ETH) 1909.73 Betsy Saina Belaynesh Oljira Kenya (KEN) Ethiopia (ETH) Netherlands (NED) 8. 1911.35 9. 1913.01 Susan Kuijken Jip Vastenburg 10 1914.32 11 Netherlands (NED) 1923.03 Portugal (POR) 12 Sara Moreira 1926.14 13 Kasumi Nishihara Japan (JPN) 1932.95 Brenda Flores Kate Avery 14 Mexico (MEX) 1935.26 15 Great Britain (GBR) 1936.19 16 Trihas Gebre Spain (ESP) Uganda (UGA) 1940.87 hot 17 Juliet Chekwel 1940.95
Transcribed Image Text:Men's 2015 World Championship – Final Results (top 17 finishers) Rank Name Nationality Time (seconds) Great Britain (GBR) Kenya (KEN) Kenya (KEN) Kenya (KEN) United States (USA) Eritrea (ERI) Turkey (TUR) 1 Mo Farah 1621.13 Geoffrey Kipsang Paul Tanui 1621.76 1622.83 4 Bedan Karoki 1624.77 Galen Rupp 1628.91 Abrar Osman 1663.21 Ali Kaya Timothy Toroitich Joshua Kiprui Cheptegei 7 1663.69 8. Uganda (UGA) 1664.90 Uganda (UGA) Ethiopia (ETH) Ethiopia (ETH) Bahrain (BHR) Eritrea (ERI) 1668.89 10 Muktar Edris 1674.47 11 Mosinet Geremew 1687.50 12 El Hassan El-Abbassi Nguse Tesfaldet Cameron Levins 1692.57 13 1694.72 14 Canada (CAN) 1695.19 15 Hassan Mead United States (USA) 1696.30 Shadrack Kipchirchir Arne Gabius United States (USA) Germany (GER) 16 1696.30 17 1704.47 Women's 2015 World Championship – Final Results (top 17 finishers) Rank Name Nationality Time (seconds) Vivian Cheruiyot Kenya (KEN) 1901.31 Gelete Burka Ethiopia (ETH) United States (USA) 1901.77 Emily Infeld Molly Huddle Sally Kipyego 3 1903.49 United States (USA) Kenya (KEN) United States (USA) 4 1903.58 1904.42 6 Shalane Flanagan 1906.23 7 Alemitu Heroye Ethiopia (ETH) 1909.73 Betsy Saina Belaynesh Oljira Kenya (KEN) Ethiopia (ETH) Netherlands (NED) 8. 1911.35 9. 1913.01 Susan Kuijken Jip Vastenburg 10 1914.32 11 Netherlands (NED) 1923.03 Portugal (POR) 12 Sara Moreira 1926.14 13 Kasumi Nishihara Japan (JPN) 1932.95 Brenda Flores Kate Avery 14 Mexico (MEX) 1935.26 15 Great Britain (GBR) 1936.19 16 Trihas Gebre Spain (ESP) Uganda (UGA) 1940.87 hot 17 Juliet Chekwel 1940.95
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 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 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.
Transcribed Image Text: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 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 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.
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