One year the scores for the eight initial games of the Natio

One year, the scores for the eight initial games of the National Basketball Association playoffs were 111-106, 104-92, 116-105, 119-113, 109-102, 111-97, 113-96, 101-89 Find the sample variance for the score of the winning team.

Solution

The scores for the winning teams are 111, 104, 116, 119, 109, 111, 113, 101.

So, one has to calculate the mean of these values:110.5

Sum of square about the mean is:

(111-110.5)^2+(104-110.5)^2+(116-110.5)^2+(119-110.5)^2+(109-110.5)^2+(111-110.5)^2+(113-110.5)^2+(101-110.5)^2 =224

So, the sample variance for the score of the winning team: (224/8)= 28