Hi O.B.Don,
I am glad that my original question triggers such a chain effect.
Take a look at the datasheet of LTC2500-32, on page 8, the chart for DC histogram with different number of averaging from DF = 4 to DF = 16384, it shows that the standard deviation of the histogram shrink with respect to sqrt(DF). That's the power of math & statistic, just Google "Central Limit Theorem" to learn more.