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Mathematics · 2023

JEE Main · 6 April 2023, Shift 1 · Q17

The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and σ^2…

The mean and variance of a set of $\displaystyle 15$ numbers are $\displaystyle 12$ and $\displaystyle 14$ respectively. The mean and variance of another set of $\displaystyle 15$ numbers are $\displaystyle 14$ and $\displaystyle \sigma^2$ respectively. If the variance of all the $\displaystyle 30$ numbers in the two sets is $\displaystyle 13$ , then $\displaystyle \sigma^2$ is equal to
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.