Mathematics · 2023
JEE Main · 6 April 2023, Shift 2 · Q29
If the mean and variance of the frequency distribution are 9 and 15.08 respectively, then the value of α^2+β^2-α β is ____.
If the mean and variance of the frequency distribution
are $\displaystyle 9$ and $\displaystyle 15.08$ respectively, then the value of $\displaystyle \alpha^2+\beta^2-\alpha \beta$ is $\displaystyle \_\_\_\_$.
| $\displaystyle x_i$ | $\displaystyle 2$ | $\displaystyle 4$ | $\displaystyle 6$ | $\displaystyle 8$ | $\displaystyle 10$ | $\displaystyle 12$ | $\displaystyle 14$ | $\displaystyle 16$ |
| $\displaystyle f_i$ | $\displaystyle 4$ | $\displaystyle 4$ | $\displaystyle \alpha$ | $\displaystyle 15$ | $\displaystyle 8$ | $\displaystyle \beta$ | $\displaystyle 4$ | $\displaystyle 5$ |
Official answer
From NTA’s final answer key for this paper.
25
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.