List of top onlysubject istoolong for capturing1 Questions

Explanation:

Let two observations are $x_1$ and $x_2$ mean$=\frac{\sum x_i}{5}=5\Rightarrow 1+3+8+x_1+x_2=25$$\Rightarrow x_1+x_2=13$....(i)Variance $\left({\sigma }^2\right)=\frac{\sum x_i^2}{5}-25=9.20$$\Rightarrow \sum x_i^2=171$$\Rightarrow x_1^2+x_2^2=97$.....(ii)by (1) and (2)${(x_1+x_2)}^2-2x_1{x}_2=97$or $x_1{x}_2=36$$\therefore x_1:x_2=4:9$Hence, the correct option is (C).

Explanation:

Let two observations are $x_1$ and $x_2$ mean$=\frac{\sum x_i}{5}=5\Rightarrow 1+3+8+x_1+x_2=25$$\Rightarrow x_1+x_2=13$....(i)Variance $\left({\sigma }^2\right)=\frac{\sum x_i^2}{5}-25=9.20$$\Rightarrow \sum x_i^2=171$$\Rightarrow x_1^2+x_2^2=97$.....(ii)by (1) and (2)${(x_1+x_2)}^2-2x_1{x}_2=97$or $x_1{x}_2=36$$\therefore x_1:x_2=4:9$Hence, the correct option is (C).