Question

Suppose the counselor found the sum of squared deviations from the mean (of the change scores) of the sample to be 135. Given that he tested 10 people, what would the estimated population variance be?

Answer 1

13.5

Explanation:

Sum of squared deviation = 135

Variance is defined as the Sum of the Squared Deviations from the mean divided by the number of terms.

Since, we have to find the population variance we will divide the sum of squared deviation by N which is 10 in this case. For the variance of a sample, the sum of squared deviations is divided by (N - 1).

Therefore, the estimated population variance would be:

`\text{Variance}=\frac{\text{Sum of Squared Deviations}}{N}\\\\ \text{Variance}=(135)/(10)\\\\ \text{Variance}=13.5`