The Men\'s Giant Slalom skiing event consists of two runs whose times are added

Question

The Men's Giant Slalom skiing event consists of two runs whose times are added together for a final score. Two displays of the giant slalom times in a recent competition are shown in the accompanying histogram and boxplot. Complete parts a through c below. Click here for the histogram and boxplot of the slalom times. a) What features of the distribution can you see in both the histogram and the boxplot? A. Highly skewed to the right with two high outliers at 200 and 207. Most skiers have times between 155 and 165 seconds. B. Highly skewed to the right with two high outliers at 207 and 215. Most skiers have times between 160 and 180 seconds. C. Essentially symmetric, very slightly skewed to the right with two high outliers at 207 and 215. Most skiers have times between 160 and 180 seconds. D. Highly skewed to the left with two low outliers at 157 and 160. Most skiers have times between 180 and 200 seconds. b) What summary statistic would be chosen to summarize the center of this distribution? Why? A. The mean would be the most appropriate measure of center because of the major skew and the extreme outliers. B. The median would be the most appropriate measure of center because of the symmetrical shape of most of the histogram. C. The mean would be the most appropriate measure of center because of the symmetrical shape of most of the histogram. D. The median would be the most appropriate measure of center because of the major skew and the extreme outliers. c) What summary statistic would be chosen to summarize the spread of this distribution? Why? A. The IQR would be the most appropriate measure of spread because of the symmetrical shape of most of the histogram. B. The standard deviation would be the most appropriate measure of spread because of the major skew and the extreme outliers.

Explanation / Answer

a) Highly skewed to the right with 2 high outliers at 207 & 215. Most skiers have times between 160 &180 seconds.

b) The median would be the most appropriate measure of center because of the major skew and the extreme outliers.

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