The accompanying data are the travel times (min) on an arterial street collected by ten test vehicles.
a. Calculate the values of the sample mean, median, 5% trimmed mean, and mode. b. From the relative locations of the above summary statistics, can you conjecture the shape of the distribution (smoothed histogram)? Would it be symmetric, skewed right, or skewed left? c. What is the proportion of vehicles of which travel time exceeds twenty minutes based on the above data? d. Compute the 25th percentile and the 75th percentile. e. Compute the sample standard deviation and the interquartile range. What would you recommend as a measure of variability for these data? Why?
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