NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Mathematics
- Chapter
- Statistics
NTA Abhyas 2020 · Mathematics · Statistics
The ratio of the variance of first n positive integral multiples of...
The ratio of the variance of first positive integral multiples of to the variance of first positive odd numbers is
Correct answer
4
Step-by-step solution
Let the variance of first natural numbers is then the variance of first integral multiple of is
and the variance of first odd natural numbers is
Then, the required ratio is
and the variance of first odd natural numbers is
Then, the required ratio is