Given the numbers generated in a normal distribution: $5.3299, 4.2537, 3.1502, 3.7032, 1.6070, 6.3923, 3.1181, 6.5941, 3.5281, 4.7433, 0.1077, 1.5977, 5.4920, 1.7220, 4.1547, 2.2799$
How would I guess an estimate for $μ$ and $σ^2$? I believe $μ$ would just be the average of the values, but how can I find the average?
You can use the standard estimators to estimate the mean and variance for any distribution from a collection $\{X_k\}$ of samples. $$\bar X = \frac1n\sum_{k=1}^n X_k$$ and $$s^2 = \frac1{n-1}\sum_{k=1}^n(X_k-\bar X)^2$$ These are both unbiased.