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Question Id : 13338 | Context : JEE Main 2023 (6 April Morning Shift)
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 $\sigma^{2}$ respectively. If the variance of all the $30$ numbers in the two sets is $13$, then $\sigma^{2}$ is equal to:


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