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Mathematics · 2024

JEE Main · 29 January 2024, Shift 1 · Q30

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 ____.

If the mean and variance of the data $\displaystyle 65,68,58,44,48,45,60, \alpha, \beta, 60$ where $\displaystyle \alpha>$ $\displaystyle \beta$, are $\displaystyle 56$ and $\displaystyle 66.2$ respectively, then $\displaystyle \alpha^2+\beta^2$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.