Let the mean and variance of observations be and respectively. Later on, it was observed that two observations were considered as and instead of and respectively. If the correct variance is , where and are coprime, then is equal to:

317 Explanation: 1. Sahi Mean nikalna: Hame diya gaya hai ki observations ka mean hai. Ab galat observations ( ) ko nikaal kar sahi ( ) ko jodne par: 2. Sahi Sum of Squares nikalna: Variance ka formula use karke: Ab squares ko correct karne par: 3. Correct Variance aur ki value: Yahan aur coprime hain.

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let the mean and variance of $12$ observations be $\frac{9}{2}$ and $4$ respectively. Later on, it was observed that two observations were considered as $9$ and $10$ instead of $7$ and $14$ respectively. If the correct variance is $\frac{m}{n}$ , where $m$ and $n$ are coprime, then $m + n$ is equal to:

JEE 2023 — Mathematics PYQ

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