The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and σ² respectively. If the variance of all the 30 numbers in the two sets is 13, then σ² is equal to:

Statistics and Probability: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Morning shift · Q5488

JEE Main 20236 Apr, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and

\sigma^{2}

respectively. If the variance of all the 30 numbers in the two sets is 13 , then

\sigma^{2}

is equal to :

JEE Main 2023 · 6 Apr, Morning shift · Q5488

JEE Main 20236 Apr, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

The mean and variance of a set of 15 numbers are 12 and 14 respectively. The mean and variance of another set of 15 numbers are 14 and

\sigma^{2}

respectively. If the variance of all the 30 numbers in the two sets is 13 , then

\sigma^{2}

is equal to :