where \(x_i\) is an element in the data set, \(N\) is the number of elements in the population, and \(n\) is the number of elements in the sample data set. The Central Limit Theorem tells us that rega...where \(x_i\) is an element in the data set, \(N\) is the number of elements in the population, and \(n\) is the number of elements in the sample data set. The Central Limit Theorem tells us that regardless of the shape of our population, the sampling distribution of the sample mean will be normal as the sample size increases.