say you have a population distribution with a mean of 20 and standard deviation of 5. what is the mean of the sampling distribution of the mean? what is the standard error of the mean for a sample size of 4? Solution Mean of the sample mean will be the same (i.e distribution mean ) Standard error of mean for sample size (n=4) is = S.D/n sample mean = 20 and Standard error = 5/4 = 2.5.