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 half way between 20 and 30. D)Cannot be determined without more information.

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Quizplus · Accepted Answer

The pooled variance is a weighted average of the two variances, with weights proportional to the sample sizes. Since the second sample has more scores (n=15) than the first sample (n=10), the pooled variance will be closer to the variance of the second sample, which is 30.

One Sample Has N = 10 Scores and a Variance