Question

What is the pooled variance for the following two samples?

Sample 1: n = 5 and SS = 100.
Sample 2: n = 9 and SS = 200

Answer 1

To calculate the pooled variance for the two samples, divide the sum of squares by the sample size for each sample and then calculate the mean of the variances.

Step-by-step explanation:

To calculate the pooled variance for the two samples, we first need to calculate the individual variances for each sample.

For Sample 1, we divide the sum of squares (SS) by the sample size (n): Variance = SS / n = 100 / 5 = 20.

For Sample 2, the variance is calculated as: Variance = SS / n = 200 / 9 ≈ 22.22.

Next, we calculate the mean of the two variances: Mean of the sample variances = (20 + 22.22) / 2 ≈ 21.11.

This mean of the sample variances is the pooled variance for the two samples.