Let the six numbers a₁,a₂,a₃,a₄,a₅,a₆, be in A.P. and a₁+a₃=10. If the mean of these six numbers is 19/2 and their variance is σ², then 8 σ² is equal to:

Statistics and Probability: JEE Main 2023 Mathematics question

JEE Main 2023 · 24 Jan, Evening shift · Q5482

JEE Main 202324 Jan, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let the six numbers

\mathrm{a_1,a_2,a_3,a_4,a_5,a_6}

, be in A.P. and

\mathrm{a_1+a_3=10}

. If the mean of these six numbers is

\frac{19}{2}

and their variance is

\sigma^2

, then 8

\sigma^2

is equal to :