  For the first time, we introduce "Scaling invariable Benford distance" and
"Benford cyclic graph", which can be used to analyze any data set. Using the
quantity and the graph, we analyze some date sets with common distributions,
such as normal, exponent, etc., find that different data set has a much
different value of "Scaling invariable Benford distance" and different figure
feature of "Benford cyclic graph". We also explore the influence of data size
on "Scaling invariable Benford distance", and find that it firstly reduces with
data size increasing, then approximate to a fixed value when the size is large
enough.
