QJEEM24Mabc4c: JEE Main 2024 Mathematics - Class 11 JEEM24Mabc4c Solution: If the mean and variance of the data 65 , 68 , 58 , 44 , 48 ,…

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QJEEM24Mabc4c: JEE Main 2024 Mathematics - Class 11 JEEM24Mabc4c Solution: If the mean and variance of the data 65 , 68 , 58 , 44 , 48 ,…

If the mean and variance of the data $65, 68, 58, 44, 48, 45, 60, α, β, 60$ where $α > β$ , are 56 and 66.2 respectively, then $α^{2} + β^{2}$ is equal to _________.

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$\begin{aligned} \overset{―}{x} = 56 \\ σ^{2} = 66.2 \\ \Rightarrow \frac{α^{2} + β^{2} + 25678}{10} - (56)^{2} = 66.2 \\ ∴ α^{2} + β^{2} = 6344 \end{aligned}$

QJEEM24Mabc4c: JEE Main 2024 Mathematics - Class 11 JEEM24Mabc4c Solution: If the mean and variance of the data 65 , 68 , 58 , 44 , 48 ,…

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