<< Hi All, First of All, I am not a Statistics Expert by myself, however, I would like to raise another angle of this issue.
If instead of divide (or partition) into two separate normal distribution, I would do this into n separate normal distribution where n is the number of points constituting the original distribution N(50,5). What would happen then to the individual means and std ??? >> In the original question the "division" meant to make two sets of normally distributed values each having the same size as the original, for which the means are given, and adding them together piecewise one get beck the original set. What will be the new std-s, was the question. The answer is that simply dividing each value by a given ration one get two normal distributions with std-s divided by the same ration. Also one can transform a normal distribution to any given mean and positive std and this keeps the normalcy because the normalcy is not in the amount of the values but in the distribution of them. If two such generated sets are added again, then either the means and the std-s will be added. These sets are correlated to each other. In other hand if you add two independent normally distributed set piecewise, then the means and the variances will be added. . . ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at: . http://jse.stat.ncsu.edu/ . =================================================================
