Variance

Demonstrate the mean of the sample variance

Demonstrate the mean of the sample variance
  1. What is the variance of the mean of a sample?
  2. How do you calculate the variance of a distribution of sample means?

What is the variance of the mean of a sample?

Variance. The variance of the sampling distribution of the mean is computed as follows: That is, the variance of the sampling distribution of the mean is the population variance divided by N, the sample size (the number of scores used to compute a mean).

How do you calculate the variance of a distribution of sample means?

Sampling Variance

For N numbers, the variance would be Nσ2. Since the mean is 1/N times the sum, the variance of the sampling distribution of the mean would be 1/N2 times the variance of the sum, which equals σ2/N.

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