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The variance of numbers $x_{1}, x_{2} x_{3, \cdots \ldots} x_{n,}$ is $V$. Consider the following statements: $\quad$
1 . If every $x_{1}$ is increased by 2, the variance of the new set of the new set of numbers is $V$
2 . If the numbers $x_{i}$ is squared, the variance of the new set is $V^{2}$. Which of the following statements is/are correct?
Options:
1 . If every $x_{1}$ is increased by 2, the variance of the new set of the new set of numbers is $V$
2 . If the numbers $x_{i}$ is squared, the variance of the new set is $V^{2}$. Which of the following statements is/are correct?
Solution:
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Verified Answer
The correct answer is:
1 only
I : Variance is not dependent on change of origin. Therefore, if every $x_{i}$ is increased by 2, the variance of the new set of numbers is not changed.
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