how to find mean and standard deviation of a sampling distribution
And finally, within each sample, suppose that we determine the proportion of successes p and failures q. In this way, we create a sampling distribution of the proportion. We find that the mean of the sampling distribution of the proportion (Î¼ p) is equal to the probability of success in the population (P).And the standard error of the sampling distribution (Ï p) is determined by the standard deviation of the population (Ï), the population size, and the sample size.o define our normal distribution, we need to know both the mean of the sampling distribution and the standard deviation. Finding the mean of the sampling distribution is easy, since it is equal to the mean of the population. Thus, the mean of the sampling distribution is equal to 80.