Game 6: 我考得如何？幾分會過？

If it is reasonable assuming normality, these questions can be easily answered by computing $F(x)=P(X \leq x)$ and $F^{-1}(p)$ where $X \sim N(\mu, \sigma^2)$, the cdf and quantile of a normal random variable. In R, they can be calculated using pnorm, qnorm functions.

Diagnosis and Remedial Measures: In many scenarios, even the data in original scale is far from normal, the normal approach still works after suitable transformations.

R code: g6class.r