The variance of x, 2x, 3x, 4x and 5x is
A
x√2
B
2x2
C
x2
D
3x
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Hint: prepare a three-columned table, one for (x), another for the (deviation), and the last for the (squared-deviation).
Sum of (x) = 15x, algebraic sum of (deviation) = zero (0)
Sum of (squared-deviation) = 10x\(^2\)
Variance = \(\frac{∑(squared-deviation)}{\text{n}}\) = \(\frac{10x^2}{5}\) = 2x\(^2\)
Source: Myschool Past Questions Archive (Record #1083)