Question 47
Measures of DispersionThe variance of x, 2x, 3x, 4x and 5x is
- A.x√2
- B.2x2
- C.x2
- D.3x
Show the answer and explanation
Answer: B (2x2)
Explanation
The mean is 3x. The squared deviations are 4x2, x2, 0, x2, 4x2, which add to 10x2. Dividing by 5 gives a variance of 2x2.