Question

​ One sample of n = 8 scores has a variance of s2 = 6 and a second sample of n = 8 scores has s2 = 10.If the pooled variance is computed for these two samples, then the value obtained will be ____.

Answer 1

Answer:

The pooled variance is 8.

Step-by-step explanation:

We are given the following information:

Sample 1:

$n_1 = 8\\s_1^2 = 6$

Sample 2:

$n_2 = 8\\s_1^2 = 10$

Pooled Variance =

$\displaystyle\frac{(n_1-1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2}$

Putting the values, we get,

$\displaystyle\frac{(8-1)6 + (8-1)10}{8+8-2} = 8$

Thus, the pooled variance is 8.