Based on a large national sample of working adults, the U.S. Census Bureau reports the following information on travel time to work for those who do not work at home: lower quartile 7 minutes median 18 minutes upper quartile 31 minutes Also given was the mean travel time, which was reported as 22.4 minutes.
a. Is the travel time distribution more likely to be approximately symmetric, positively skewed, or negatively skewed? Explain your reasoning based on the given summary quantities.
b. Suppose that the minimum travel time was 1 minute and that the maximum travel time in the sample was 205 minutes. Construct a skeletal boxplot for the travel time data.
c. Were there any mild or extreme outliers in the data set? How can you tell?