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Mathematics · 2020

JEE Main · 9 January 2020, Shift 1 · Q68

Let the observations x_i(1 ≤ i ≤ 10) satisfy the equations, Σ_i=1^10(x_i-5)=10 and Σ_i=1^10(x_i-5)^2=40. If μ and λ are the mean and the variance of…

Let the observations $\displaystyle x_i(1 \leq i \leq 10)$ satisfy the equations, $\displaystyle \sum_{i=1}^{10}\left(x_i-5\right)=10$ and $\displaystyle \sum_{i=1}^{10}\left(x_i-5\right)^2=40$. If $\displaystyle \mu$ and $\displaystyle \lambda$ are the mean and the variance of the observations, $\displaystyle x_1-3, x_2-3, \ldots ., x_{10}-3$, then the ordered pair $\displaystyle (\mu, \lambda)$ is equal to :
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.