My questions are this: I calculated the median for the first part for both the men's and women's race times. The median for the men's was 1668.89. And the median for the women's was 1913.01.

1) 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) 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.

3) If both of those 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.

4) 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.

Men's 2015 World Championship - Final Results (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 Jganda (UGA) 1664.90 9 oshua Kiprui Cheptegei Uganda (UGA) 1668.89 10 Muktar Edris Ethiopia (ETH) 1674.47 11 Mosinet Geremew Ethiopia (ETH) 1687.50 12 El Hassan El-Abbass 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 - Final Results (top 17 finishers) Rank Name Nationality Time (seconds) 1 Vivian Cheruiyot Kenya (KEN) 1901.31 2 Gelete Burka Ethiopia (ETH) 1901.77 3 Emily Infeld United States (USA) 1903.49 Molly Huddle United States (USA) 1903.58 5 ally Kipyego Kenya (KEN) 1904.42 6 Shalane Flanagan United States (USA) 1906.23 Alemitu Heroye Ethiopia (ETH) 1909.73 8 Betsy Saina Kenya (KEN) 1911.35 9 Belaynesh Oljira Ethiopia (ETH) 1913.01 10 Susan Kuijken Netherlands (NED) 1914.32 11 lip Vastenburg Netherlands (NED) 1923.03 12 Sara Moreira Portugal (POR) 1926.14 13 Kasumi Nishihara Japan (JPN) 1932.95 14 Brenda Flores Mexico (MEX) 1935.26 15 Kate Avery Great Britain (GBR] 1936.19 16 Trihas Gebre Spain (ESP) 1940.87 not 17 Juliet Chekwel Jganda (UGA) 1940.95