Let the mean and the variance of seven observations 2, 4, α, 8, β, 12, 14, α<β, be 8 and 16 respectively. Then the quadratic equation whose roots are 3α+2 and 2β+1 is:

Statistics and Probability: JEE Main 2026 Mathematics question

JEE Main 2026 · 6 Apr, Evening shift · Q8

JEE Main 20266 Apr, Evening shiftMathematicsEasyStatistics and Probability258× since 2002

Let the mean and the variance of seven observations

2, 4, \alpha, 8, \beta, 12, 14

\alpha<\beta

, be 8 and 16 respectively. Then the quadratic equation whose roots are

3\alpha+2

and

2\beta+1

is :

JEE Main 2026 · 6 Apr, Evening shift · Q8

JEE Main 20266 Apr, Evening shiftMathematicsEasyStatistics and Probability258× since 2002

Let the mean and the variance of seven observations

2, 4, \alpha, 8, \beta, 12, 14

\alpha<\beta

, be 8 and 16 respectively. Then the quadratic equation whose roots are

3\alpha+2

and

2\beta+1

is :