Given that (¯¯¯x) is the mean and σ2 is the variance of n observat – InterviewSolution

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1.	Given that (¯¯¯x) is the mean and σ2 is the variance of n observations x1,x2,....xn. Prove that the mean and variance of the observations ax1,ax2,ax3...axnare a¯¯¯x and a2σ2 respectively (a≠0)
Answer» Given that ( $¯ ¯ ¯ x$ ) is the mean and $σ^{2}$ is the variance of n observations $x_{1}, x_{2}, . . . . x_{n}$ . Prove that the mean and variance of the observations $a x_{1}, a x_{2}, a x_{3} . . . a x_{n}$ are a $¯ ¯ ¯ x$ and $a^{2} σ^{2}$ respectively $(a \neq 0)$

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