The Mean, Standard Deviation, and Sampling Distribution of the Sample Mean
The Mean and Standard Deviation of the Sample Mean
Key Takeaways
- The sample mean is a random variable; as such it is written
, and
stands for individual values it takes.
- As a random variable the
sample mean has a probability distribution, a mean
, and a standard deviation
.
- There are formulas that relate the mean and standard deviation of the sample mean to the mean and standard deviation of the population from which the sample is drawn.