What is the variance (s²) for this set of data? 7, 11, 15 A) 11.00 B) 4.00 C) 16.00 D) 10.67

Question

Quizplus · Accepted Answer

1. Find the mean: 
(7+11+15)/3 = 11

2. Calculate the difference between each value and the mean: 
7-11 = -4 
11-11 = 0 
15-11 = 4

3. Square those differences: 
(-4)^2 = 16 
0^2 = 0 
4^2 = 16

4. Find the average of those squared differences: 
(16+0+16)/3 = 10.67

Therefore, the variance is 10.67, which is closest to answer choice C (16.00)

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