If sample variance is computed by dividing SS by n,then the average value of the sample variances from all the possible random samples will be ____ the population variance.
A)smaller than
B)larger than
C)exactly equal to
D)unrelated to

Question

If sample variance is computed by dividing SS by n,then the average value of the sample variances from all the possible random samples will be ____ the population variance.​
A)​smaller than
B)​larger than
C)​exactly equal to
D)​unrelated to

Quizplus · Accepted Answer

When calculating the sample variance by dividing the sum of squares (SS) by n, this results in a biased estimate of the population variance. This means that on average, the sample variances from all possible random samples will be smaller than the population variance. To obtain an unbiased estimate of the population variance, one should divide the sum of squares by n-1 instead.

If Sample Variance Is Computed by Dividing SS by N,then