Find the variance of 2, 6, 8, 6, 2 and 6
A
6
B
5
C
√6
D
√5
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
mean of X = x = (2+6+8+6+2+6)/6 = 30/6 = 5
X → 2,6,8,6,2,6
X - x = -3, 1, 3, 1, 3, 1
(X - x)2 = 9, 1, 9, 1, 9, 1
∑(X-x) = 9+1+9+1+9+1 = 30
Variance = ∑(X-x)2/n = 30/6 = 5
Source: Myschool Past Questions Archive (Record #7713)