A data consists of n observations : x1, x2, . . . . . . ., xn. 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 :

Question

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 :

$\sqrt 5 $

$\sqrt 7 $

Solution

Please login to view the detailed solution steps...

Go to DASH