Messages: 474,562 Total letters: 19,152,806 Min: 1 Max: 35079 Range: 35078 Interquartile range: 26 Mean: 40.4 Median: 18 Mode: 3 Standard deviation: 255.3 Quartile deviation: 13
Here is the plot of length distribution histogram.
It is well-known that the number of letters per word and the number of words per sentence are log-normally distributed, so no wonder this distribution is also log-normal. Green line here plots probability density function (PDF) of Log-N(2.83, 1.15), and you can see it fits actual data pretty good.
