A data consists of n observations: x₁, x₂,......., x n. If Σ i = 1 ⁿ (x i + 1)² = 9n and Σ i = 1 ⁿ (x i - 1)² = 5n, then the standard deviation of this data is:

Statistics and Probability: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Jan, Evening shift · Q5449

JEE Main 20199 Jan, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

A data consists of n observations : x₁, x₂, . . . . . . ., x_n. If

\sum\limits_{i = 1}^n {{{\left( {{x_i} + 1} \right)}^2}} = 9n

and

\sum\limits_{i = 1}^n {{{\left( {{x_i} - 1} \right)}^2}} = 5n,

then the standard deviation of this data is :

JEE Main 2019 · 9 Jan, Evening shift · Q5449

JEE Main 20199 Jan, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

A data consists of n observations : x₁, x₂, . . . . . . ., x_n. If

\sum\limits_{i = 1}^n {{{\left( {{x_i} + 1} \right)}^2}} = 9n

and

\sum\limits_{i = 1}^n {{{\left( {{x_i} - 1} \right)}^2}} = 5n,

then the standard deviation of this data is :