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Asked: September 4, 20202020-09-04T11:02:15+01:00 2020-09-04T11:02:15+01:00In: NCERT 11th Maths

4. Given that $\overline{x}$ is the mean and $\sigma ^2$ is the variance of n observations $x_1, x_2, ...,x_n$ . Prove that the mean and variance of the observations $ax_1, ax_2, ax_3, ...., ax_n$ are $a\overline{x}$ and $a^2 \sigma ^2$ , respectively, (a ≠ 0).

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4. Given that $\overline{x}$ is the mean and $\sigma ^2$ is the variance of n observations $x_1, x_2, ...,x_n$ . Prove that the mean and variance of the observations $ax_1, ax_2, ax_3, ...., ax_n$ are $a\overline{x}$ and $a^2 \sigma ^2$ , respectively, (a ≠ 0).

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4. Given that is the mean and is the variance of n observations . Prove that the mean and variance of the observations are and , respectively, (a ≠ 0).

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4. Given that $\overline{x}$ is the mean and $\sigma ^2$ is the variance of n observations $x_1, x_2, ...,x_n$ . Prove that the mean and variance of the observations $ax_1, ax_2, ax_3, ...., ax_n$ are $a\overline{x}$ and $a^2 \sigma ^2$ , respectively, (a ≠ 0).

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Cancel reply