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

The pooled variance is 8.

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((n_1-1)s_1^2 + (n_2-1)s_2^2)/(n_1+n_2-2)`

Putting the values, we get,

`\displaystyle((8-1)6 + (8-1)10)/(8+8-2) = 8`

Thus, the pooled variance is 8.