An examination is marked out of $100$. It is taken by a large number of candidates. The mean mark, for all candidates, is $72.1$ and the standard deviation is $15.2$. Give a reason why a normal distribution, with this mean and standard deviation, would not give a good approximation to the distribution of marks.
My answer: Since the standard deviation is quite large ($=15.2)$, the normal curve will disperse wildly. Hence, it is not a good approximation.
Is my answer acceptable?