If the mean and variance of the frequency distribution | $$x_i$$ | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 | |---|---|---|---|---|---|---|---|---| | $$f_i$$ | 4 | 4 | $$\alpha$$ | 15 | 8 | $$\beta$$ | 4 | 5 | are $$9$$ and $$15.08$$ respectively, then the value of $$\alpha^2 + \beta^2 - \alpha\beta$$ is _____ :

If the mean and variance of the frequency distribution | xᵢ | 2 |… | JEE Main 2023 Mathematics PYQ

NVAMediumJEE Main 2023 · 6 April, Shift 2Measures of Dispersion

If the mean and variance of the frequency distribution

$x_i$	2	4	6	8	10	12	14	16
$f_i$	4	4	$\alpha$	15	8	$\beta$	4	5

are $9$ and $15.08$ respectively, then the value of $\alpha^2 + \beta^2 - \alpha\beta$ is _____ :

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.