Find the variance of 2, 6, 8, 6, 2 and 6
-
A.
6 -
B.
5 -
C.
√6 -
D.
√5
Correct Answer: Option B
Explanation
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