Question

May someone help me with this question please

Answer 1

`11;\ 13;\ 13;\ 13;\ 13;\ 15\\\\\overline{x}=(11+13+13+13+13+15)/(6)=(78)/(6)=13\\\\\delta^2=\frac{(x_1-\overline{x})^2+(x_2-\overline{x})^2+(x_3-\overline{x})^2+...+(x_n-\overline{x})^2}{n}\\\\\delta^2=((11-13)^2+(13-13)^2+(13-13)^2+(13-13)^2+)/(6)`

`(+(13-13)^2+(15-13)^2)/(6)\\\\\delta^2=((-2)^2+0+0+0+0+2^2)/(6)=(4+4)/(6)=(8)/(6)=(4)/(3)`


`standard\ deviation:\\\\√(\delta^2)=\sqrt{(4)/(3)}=(\sqrt4)/(\sqrt3)=(2\cdot\sqrt3)/(\sqrt3\cdot\sqrt3)=\boxed{(2\sqrt3)/(3)}\approx\boxed{1.15}`