I have had to deal with highly variable data in other fields – I think what might be interesting to plot in that La Jolla data set, if it were available, would be to plot the interquartile range, or even just plot each point within the interquartile range –
Not to insult anyone, but to explain what that is – basically divide the entire range of values into quarters – the median is the 50th percentile – and plot all values between the 25th and 75th percentile or just the 25th, 50th(median) and 75th. Still has many of the problems associated with median – but gives some insight into the distribution – limited as it may be.
