math distribution of averages and distribution of standard deviation for comparison of bytes Let me change my question:
I have a sequence of 512 numbers (these 512 numbers can have a value between 0 and 255) (in computer mode these numbers can be between 00000000 and 11111111 (bits)). For these 512 numbers I calculate the average value, standard deviation value and kurtosis value. Now I want to calculate the values for the distribution of averages, distribution of standard deviations and distribution of Byte values. Finaly, I want to compare the distributions from other sequesces of 512 numbers to find out the similarity (as percentage) that two sequences have. I dont understand how can I calculate these distributions.
for example Distribution of Averages is : the probability that an average chosen from all the averages of a memory block is of value B in the range of 0-255.
Dxb=Pr((B+1))>Xj>=B   ,Xj=Average.

For the new question, it appears that you have no problem calculating the mean, standard deviation, and kurtosis of one series.  Then if you have a bunch of series and want to calculated the distribution of means you do it the same way.  You have data that comes as $(i,mean_i,sd_i,kurt_i)$ and ignore where it came from.  So you can calculate the mean and standard deviation of all the means.  As you have not defined "the similarity as percentage" I don't know what to do with that.
