In many statistical procedures, it is often advantageous to have a symmetric distribution. When the data have a histogram that is highly right-skewed, it is often possible to obtain a symmetric distribution by taking a transformation of the data. For the data in Exercise 3.76, take the natural logarithm of the data and answer the following questions.
a. Determine the mean, median, and standard deviation.
b. Find the 25th, 50th, and 75th percentiles.
c. Plot the data in a boxplot and histogram.
d. Did the logarithm transformation result in a somewhat symmetric distribution?