If the mean and variance of the frequency distribution. \bo {x}_{ {\i}} 2 4 6 8 10 12 14 16 \bo {f}_{ {\i}} 4 4 α 15 8 β 4 5 are 9 and 15.08 respectively, then the value of \alpha^2+\beta^2-\alpha \beta is ________ : [6-Apr-2023 shift 2]

JEE Mains 6-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 28 of 90

Marks: +1, -0

If the mean and variance of the frequency distribution.

xi	2	4	6	8	10	12	14	16
fi	4	4	α	15	8	β	4	5

are 9 and 15.08 respectively, then the value of α2+β2−αβ is ________ :

[6-Apr-2023 shift 2]

xi	fi	fixi	fixi2
2	4	8	16
2	4	16	64
6	α	6α	36α
8	15	120	960
10	8	80	800
12	β	12β	144β
14	4	56	784
16	5	80	1280

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