A sampling distribution is used to summarize a frequency distribution of a certain sample. To find thesample mean from the sample distribution we find the number where the sampling distribution balances. With observed data, we add the values of the variable and divide the sum by the number of observations. The sample distribution of the sample mean tries to describe the sample size of a given population. The pattern of variation of sample mean or sample percentage with a fixed sample size 'n' is called the sampling distribution of a given population.
Every sample is of the same size.
The sampling distribution of the sample mean is the pattern of variation of the mean from sample to sample. What this means is that when a sample size is known to be a certain size, and everything within that sample is equally likely to occur, a pattern of variation can be determined. In order to determine the sampling distribution the sampling mean must first be considered. The sampling mean is the standard deviation of the sampling distribution. To determine the sampling mean, a known probability is multiplied by all the possible values observed.