What is the variance (s²) for this set of data? 6, 7, 10, 13 A) 9.00 B) 3.16 C) 10.00 D) 7.50

Question

Quizplus · Accepted Answer

To find the variance, we need to first calculate the mean of the data set:

(6 + 7 + 10 + 13) / 4 = 9

Next, we need to find the difference between each data point and the mean, and square each difference:

(6 - 9)^2 = 9 
(7 - 9)^2 = 4 
(10 - 9)^2 = 1 
(13 - 9)^2 = 16

Then, we add up all of these squared differences:

9 + 4 + 1 + 16 = 30

Finally, we divide this sum by the sample size (n - 1) to get the variance:

30 / 3 = 10

Therefore, the variance is 10, and the best choice is C.

What Is the Variance (S2) for This Set of Data