One sample has n = 10 scores and a variance of s² = 20,and a second sample has n = 15 scores and a variance of s² = 30.What can you conclude about the pooled variance for these two samples?
A)It will be closer to 20 than to 30.
B)It will be closer to 30 than to 20.
C)It will be exactly halfway between 20 and 30.
D)Cannot be determined without more information.

Question

Quizplus · Accepted Answer

The pooled variance takes into account the size of each sample (n) and their respective variances. Since the second sample is larger (n = 15) and has a higher variance (s² = 30) compared to the first sample (n = 10, s² = 20), the pooled variance will be weighted more towards the variance of the larger sample, making it closer to 30 than to 20.

One Sample Has N = 10 Scores and a Variance