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JEE MAIN 2024

1-2-2024 S2

Question

Consider 10 observation$\mathrm{x}_1, \mathrm{x}_{2, \ldots}, \mathrm{x}_{10}$. such that $\sum_{i=1}^{10}\left(x_i-\alpha\right)=2$ and $\sum_{i=1}^{10}\left(x_i-\beta\right)^2=40$, where $\alpha, \beta$ are positive integers. Let the mean and the variance of the observations be $\frac{6}{5}$ and $\frac{84}{25}$ respectively. The $\frac{\beta}{\alpha}$ is equal to :

Select the correct option:

A

2

B

$\frac{3}{2}$

C

$\frac{5}{2}$

D

1

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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