Do men and women run a 5 kilometer race at the same pace? Here are boxplots of t

Question

Do men and women run a 5 kilometer race at the same pace? Here are boxplots of the time (in minutes) for a race recently run in Geelong. Which of the following statements best describes the comparison of men and women runners in this race? Select one: a. Spread of times is similar, men faster by about 3 minutes in general, both skewed to the left b. Spread of times is similar, women faster by about 3 minutes in general, both skewed to longer times c. Spread of times are NOT similar, men faster by about 3 minutes in general, both symmetrical in distribution d. Spread of times is similar, men faster by about 3 minutes in general, both skewed to longer times e. Spread of times is similar, women faster by about 3 minutes in general, both symmetrical in distribution

Explanation / Answer

From above boxplot;

Women's and Men's 5K race time range in 13 Minutes: 32-19=13 and 29-16=13

Time spread is similar for Women's and Men's. But both skewed to above means longer time.

Mean of women's = 22 and Men's Mean time= 19

and Difference between Men's and Women's = -3 and it refers Men's are speed.

Spread of times almost similar, Men's speed is 3 minuts faster than Women's and Skewed to roght means longer times.

Answer : D

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