George Towett of Marietta, Georgia finished in first place for the men and Lauren Wald of Gainesville, Florida finished in first place for the women. Compare the first place finish times for men and women. If the 53 men and women runners had competed as one group, in what place would Lauren have finished?     b What is the median time for men and women runners? Compare men and women runners based on their median times.     c Provide a five-number summary for both the men and women

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Naples, Florida hosts a half-marathon (13.1 mile race) in January each year. The event attracts top runners from throughout the United States as well as from around the world. In the race results shown here 22 men and 31 women entered the 19-24 age class. Finish times in minutes are as follows. Times are shown in order of finish.  Please show steps in Excel.

a George Towett of Marietta, Georgia finished in first place for the men and Lauren Wald of Gainesville, Florida finished in first place for the women. Compare the first place finish times for men and women. If the 53 men and women runners had competed as one group, in what place would Lauren have finished?
   
b What is the median time for men and women runners? Compare men and women runners based on their median times.
   
c Provide a five-number summary for both the men and women
   
d Are there outliers in either group?
   
e. Show the box plats for the two groups. Did men or women have the most variation in finish times? Explain.

 

 

 

Finish Men Women
1 65.30 109.03
2 66.27 111.22
3 66.52 111.65
4 66.85 111.93
5 70.87 114.38
6 87.18 118.33
7 96.45 121.25
8 98.52 122.08
9 100.50 122.48
10 108.18 122.62
11 109.05 123.88
12 110.23 125.78
13 112.90 129.52
14 113.52 129.87
15 120.95 130.72
16 127.98 131.67
17 128.40 132.03
18 130.90 133.20
19 131.80 133.50
20 138.63 136.57
21 143.83 136.75
22 148.70 138.20
23   139.00
24   147.18
25   147.35
26   147.50
27   147.75
28   153.88
29   154.83
30   189.27
31   189.28
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