The sample average is a random variable and

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Quizplus · Accepted Answer

The sample average is calculated by taking the sum of the values in a sample and dividing by the sample size, which means it is a function of the random variables Y1,... ,Yn. Therefore, it is also a random variable itself. The distribution of this random variable is called the sampling distribution, which describes the distribution of all possible sample means of size n taken from a population with a certain mean and variance. It is important to note that the sampling distribution is different from the distribution of the individual Y1,... ,Yn variables.

The Sample Average Is a Random Variable and