One sample of n = 8 scores has a variance of s² = 6 and a second sample of n = 8 scores has a variance of s² = 10.If the pooled variance is computed for these two samples,then the value obtained will be ______.
A)closer to 6 than to 10
B)closer to 10 than to 6
C)exactly halfway between 6 and 10
D)cannot be determined without more information

Question

Quizplus · Accepted Answer

The pooled variance is computed as the weighted average of the two variances, taking into account the number of scores in each sample. Since both samples have the same number of scores (n = 8) and the variances are 6 and 10, the pooled variance will be exactly halfway between 6 and 10, which is 8.

One Sample of N = 8 Scores Has a Variance