The mean and variance of the data 4, 5, 6, 6, 7, 8, x, y, where x < y, are 6 and 9/4 respectively. Then x⁴ + y² is equal to:

Statistics and Probability: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jun, Evening shift · Q5472

JEE Main 202227 Jun, Evening shiftMathematicsEasyStatistics and Probability258× since 2002

The mean and variance of the data 4, 5, 6, 6, 7, 8, x, y, where x < y, are 6 and

{9 \over 4}

respectively. Then

{x^4} + {y^2}

is equal to :

JEE Main 2022 · 27 Jun, Evening shift · Q5472

JEE Main 202227 Jun, Evening shiftMathematicsEasyStatistics and Probability258× since 2002

The mean and variance of the data 4, 5, 6, 6, 7, 8, x, y, where x < y, are 6 and

{9 \over 4}

respectively. Then

{x^4} + {y^2}

is equal to :