All that formula is saying is add up all of the numbers in your data set S means add up and x. The formulas for confidence intervals for the population mean depend on the sample size and are given below. X sample mean.
We select a sample and compute descriptive statistics including the sample size n the sample mean and the sample standard deviation s.
In statistics you can easily find probabilities for a sample mean if it has a normal distribution. When calculating the sample mean using the formula you will plug in the values for each of the symbols. Sample Mean Versus Population Mean. N number of values in the sample.