The mean and variance of a data of 10 observations are 10 and 2, respectively. If an observation α in this data is replaced by β, then the mean and variance become 10.1 and 1.99, respectively. Then α + β equals

Statistics and Probability: JEE Main 2026 Mathematics question

JEE Main 2026 · 24 Jan, Morning shift · Q18

JEE Main 202624 Jan, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

The mean and variance of a data of 10 observations are 10 and 2, respectively. If an observation

\alpha

in this data is replaced by

\beta

, then the mean and variance become 10.1 and 1.99, respectively. Then

\alpha + \beta

equals