Sample Mean

Common Sample Mean

${\overline{X}}_n=\left(\frac{1}{n}\right)(X_1+\cdots +X_n)=\frac{1}{n}{\sum }_{i=1}^n{X}_i$

Moments

• ${\mu }_{{\overline{X}}_n}=\mu$
• ${\sigma }_{{\overline{X}}_n}=\frac{\sigma }{\sqrt{n}}$