Let the mean and variance of the frequency distribution x: x₁ = 2 x₂ = 6 x₃ = 8 x₄ = 9 f: 4 4 α β be 6 and 6.8 respectively. If x₃ is changed from 8 to 7, then the mean for the new data will be:

Statistics and Probability: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Evening shift · Q5465

JEE Main 202127 Jul, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let the mean and variance of the frequency distribution

\matrix{ {x:} & {{x_1} = 2} & {{x_2} = 6} & {{x_3} = 8} & {{x_4} = 9} \cr {f:} & 4 & 4 & \alpha & \beta \cr }

be 6 and 6.8 respectively. If x₃ is changed from 8 to 7, then the mean for the new data will be :

JEE Main 2021 · 27 Jul, Evening shift · Q5465

JEE Main 202127 Jul, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let the mean and variance of the frequency distribution

\matrix{ {x:} & {{x_1} = 2} & {{x_2} = 6} & {{x_3} = 8} & {{x_4} = 9} \cr {f:} & 4 & 4 & \alpha & \beta \cr }

be 6 and 6.8 respectively. If x₃ is changed from 8 to 7, then the mean for the new data will be :