Let x1, x2, ⋯,xn be n observations, and let ¯x be their arithmetic – InterviewSolution

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1.	Let x1, x2, ⋯,xn be n observations, and let ¯x be their arithmetic mean and σ2 be the variance. Statement – 1: Variance of 2x1,2x2,⋯,2xn is 4σ2 Statement – 2: Arithmetic mean 2x1,2x2,⋯,2xn is 4¯x
Answer» Let $x_{1}, x_{2}, \dots, x_{n}$ be n observations, and let $¯ x$ be their arithmetic mean and $σ^{2}$ be the variance. Statement – 1: Variance of $2 x_{1}, 2 x_{2}, \dots, 2 x_{n} is 4 σ^{2}$ Statement – 2: Arithmetic mean $2 x_{1}, 2 x_{2}, \dots, 2 x_{n} is 4 ¯ x$

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