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ignment 3.4-3.6 Naples, Florids, hosts a hailf-marathon (13.1-mile race) in Janu

ID: 3070287 • Letter: I

Question

ignment 3.4-3.6 Naples, Florids, hosts a hailf-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. 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. Finish Women 106.52 105.71 109.14 109.42 111.87 115.82 118.74 19.57 119.97 120.11 Finish Men 106.54 107.72 110.39 WomenFinish 121.37 123.27 127.01 127.36 128.21 129.16 129.52 130.69 130.99 134.06 Men 141.32 146.19 62.79 63.76 64.01 64.34 69.36 84.67 93.94 96.01 8.01 105.67 134 24 135.69 136.49 144.67 144.84 144.99 45.24 151.37 152.32 86.76 186.77 12 22 13 23 14111.0 15 16 17 18 128.39 19 129.29 20 136.12 118.44 125.47 125.89 25 26 27 10 30 31 for men and women. If the 53 men and women runners had competed as one group, in what place would winner of wamen's marathon have finished? Round your answers to 2 decimal places The first place runner in the man's group finished b. What is the median time for men and women runners? Compare men and women runners based on their median times. Round your answers to 2 decimal places minutes ahead of the first place runner in the women's group. Men

Explanation / Answer

Answer:

Excel Megastat used

First place runner of men’s group finished 43.73 minutes ahead of women’s runners. (106.52-62.79)

men

women

median

107.13

129.16

men

women

minimum

62.79

106.52

1st quartile

86.99

119.77

median

107.13

129.16

3rd quartile

125.79

140.58

maximum

146.19

186.77

Women outliers: 186.76, 186.77

Megastat output

Descriptive statistics

men

women

count

22

31

mean

104.0150

131.7061

sample standard deviation

26.7573

19.4662

sample variance

715.9544

378.9314

minimum

62.79

106.52

maximum

146.19

186.77

range

83.4

80.25

1st quartile

86.9875

119.7700

median

107.1300

129.1600

3rd quartile

125.7850

140.5800

interquartile range

38.7975

20.8100

mode

#N/A

#N/A

low extremes

0

0

low outliers

0

0

high outliers

0

2

high extremes

0

0

men

women

median

107.13

129.16