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Mathematics · 2022

JEE Main · 26 July 2022, Shift 2 · Q26

The mean and standard deviation of 40 observations are 30 and 5 respectively. It was noticed that two of these observations 12 and 10 were wrongly…

The mean and standard deviation of $\displaystyle 40$ observations are $\displaystyle 30$ and $\displaystyle 5$ respectively. It was noticed that two of these observations $\displaystyle 12$ and $\displaystyle 10$ were wrongly recorded. If $\displaystyle \sigma$ is the standard deviation of the data after omitting the two wrong observations from the data, then $\displaystyle 38 \sigma^2$ is equal to \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.