Let the Mean and Variance of five observations \({\mathrm{x}}_{1}=1,{\mathrm{x}}_{2}=3,{\mathrm{x}}_{3}=\mathrm{a},{\mathrm{x}}_{4}=7\) and \({\mathrm{x}}_{5}=\mathrm{b},\mathrm{a}>\mathrm{b}\), be \(5\) and \(10\) respectively. Then the Variance of the observations \(\mathrm{n}+{\mathrm{x}}_{\mathrm{n}},\mathrm{n}=1,2,\ldots \ldots ..5\) is

[JEE Main 2025, 3 Apr (Shift 2)]

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Let the Mean and Variance of five observations \({\mathrm{x}}_{1}=1,{\mathrm{x}}_{2}=3,{\mathrm{x}}_{3}=\mathrm{a},{\mathrm{x}}_{4}=7\) and \({\mathrm{x}}_{5}=\mathrm{b},\mathrm{a}>\mathrm{b}\), be \(5\) and \(10\) respectively. Then the Variance of the observations \(\mathrm{n}+{\mathrm{x}}_{\mathrm{n}},\mathrm{n}=1,2,\ldots \ldots ..5\) is

[JEE Main 2025, 3 Apr (Shift 2)]

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Let the Mean and Variance of five observations \({\mathrm{x}}_{1}=1,{\mathrm{x}}_{2}=3,{\mathrm{x}}_{3}=\mathrm{a},{\mat…

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