When the sample sizes are equal,the pooled variance of the two samples is the weighted average of the two sample variances.

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Quizplus · Accepted Answer

When the sample sizes are equal, the pooled variance is calculated as the weighted average of the two sample variances, where the weight is equal to 1/2. This is because when the sample sizes are equal, we assume that the variances of the two populations from which the samples are drawn are also equal. Therefore, we weight the two sample variances equally to estimate the common variance of the populations.

When the Sample Sizes Are Equal,the Pooled Variance of the Two