Find the maximum likelihood estimates for $\displaystyle \theta_{1}=\mu$ and $\displaystyle \theta_{2}=\sigma^{2}$ if a random sample of size 15 from $\displaystyle N(\mu, \sigma^{2})$ yielded the following values:

31.5

35.2

31.6

36.9

29.6

36.7

33.8

34.4

35.8

30.1

30.5

34.5

33.9

34.2

32.7

Could anyone show me the steps in doing this problem? It would really help me understand this chapter and hopefully tackle other similar problems. Thanks