Let X1,X2,....,X81 be a random sample from a distribution (not necessarily normal) with mean$\displaystyle \mu=59$ and SD $\displaystyle \sigma=8$. Let $\displaystyle \bar{X}=\frac{1}{81}\Sigma^{81}_{i=1}X_{i}$

a) What is the mean of $\displaystyle \bar{X}$

b) What is the standard deviation of $\displaystyle \bar{X}

$

c) What is the approximate distribution of $\displaystyle \bar{X}$

I'm not really sure what this question is asking. I know how to find means and standard deviations, but not from what is given in this question. Thank you.