Sampling Distribution of the Mean

The left panel shows a population of scores. Click to calculate the mean and standard deviation of the population. Then click "Sample" to select a random sample. The sample will be listed and the mean and standard deviation of the sample will be calculated. The sample means are listed in the right panel. The mean and standard deviation of the sample means is calculated. You can compare them with their theoretical values shown below. Keeping sampling and you will see the discrepency between the observed and theoretical values lessen. You can change the sample size to see how this affects things.

Sample Size:
Population of Numbers:

Sample Data:

------- Sample Means: