NTA Abhyas JEE Main2020MathematicsStatisticsPractice

The ratio of the variance of first n positive integral multiples of 4 to the variance of first n positive odd numbers is

Correct answer

Step-by-step solution

Let the variance of first n natural numbers is σ 2 then the variance of first n integral multiple of 4 is 16 σ 2 and the variance of first n odd natural numbers is 4 σ 2 Then, the required ratio is 16 σ 2 4 σ 2 = 4

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