The variance of x 2x 3x 4x and 5x is - JAMB Mathematics 2000 Question
The variance of x, 2x, 3x, 4x and 5x is
A
x√2
B
2x2
C
x2
D
3x
correct option: b
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) = 10x2
Variance = ∑(squared-deviation)/n = 10x2/5 = 2x2
Sum of (x) = 15x, algebraic sum of (deviation) = zero (0)
Sum of (squared-deviation) = 10x2
Variance = ∑(squared-deviation)/n = 10x2/5 = 2x2
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