Muhammad Ali is considered by many to be one of the greatest heavyweight boxers in history. Boxplots of the percentages of maximum allowed rounds it took Ali to win his first 28 wins and his last 28 wins are shown in Fig. 118.

a. The boxplot for the last 28 wins does not have a right whisker. How is this possible, assuming the boxplot has been drawn correctly?
b. The boxplot for the last 28 wins does not include a vertical line (to indicate the median) inside the box. How is this possible, assuming the boxplot has been drawn correctly?
c. The median of the last-28-wins distribution turns out to be 100%. Is this median less than, greater than, or equal to the median for the first-28-wins distribution? Discuss how some or all of the following might explain why this occurred: Ali€™s age, Ali€™s physical condition, Ali€™s experience, and the level of competition.
d. For the first 28 wins, the median maximum allowed rounds was 10 rounds. Estimate the median number of rounds it took Ali to win a match for the first 28 wins. Determine whether your result is less than, greater than, or equal to 5.5 rounds, which is the actual median.
e. In addition to Ali€™s 56 wins described by the boxplots, Ali also lost 5 matches. When analyzing the percentages of the maximum allowed rounds it took for a match to be over, why should Ali€™s 5 losses be analyzed separately from his 56 wins?

Transcribed Image Text:

Percentages of Maximum Allowed Rounds First 28 Wins_ Last 28 Wins 0 20 40 60 80 100 Percent