Midrange. The midrange of a distribution is defined as the average of the maximum and the minimum of that distribution. Is this statistic robust to outliers and extreme skew? Explain your reasoning
Commute times. The US census collects data on time it takes Americans to commute to work, among many other variables. The histogram below shows the distribution of average commute times in 3,142 US counties in 2010. Also shown below is a spatial intensity map of the same data.
Mean work travel (in min) 10 20 30 40
(a) Describe the numerical distribution and comment on whether or not a log transformation may be advisable for these data.
(b) Describe the spatial distribution of commuting times