The following data comes from a sample of NFL kickoffs from the 2019 season. The numbers are the kickoff distances in yards.
The average distance was 61.2 yards with a standard deviation of 11.4 yards.
In a random sample, the sample mean x̄ is random, so it has a probability distribution with a shape, center, and spread. To get an idea of what the sampling distribution is for different size samples, just click the button below:
When the sampling distribution for x̄ looks like: