A sample has n = 9 scores and an SS = 216. What is the variance for this sample?
Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.
If your SS stands for sum of squares, the above information should tell you what to do.
To calculate the variance for a sample, you can follow these steps:
1. Find the mean of the sample. The mean is calculated by summing all the scores and dividing by the total number of scores. In this case, the sum of scores is not given, so we need to use other information.
2. Calculate the sum of squares (SS) for the sample. The sum of squares is found by subtracting each score by the mean, squaring the result, and then summing all the squared deviations. In this case, the SS value is given as 216.
3. Divide the SS value by (n-1), where n is the number of scores in the sample. Since n = 9, we divide SS by 8, yielding 216/8 = 27.
Therefore, the variance for this sample is 27.