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Discrete and continuous.
The answer depends on the nature of the data and the domain. If the domain is continuous or very large relative to the number of observations, then it is very advantageous.
we prefer normal distribution over other distribution in statistics because most of the data around us is continuous. So, for continuous data normal distribution is used.
If the observations are grouped together into classes, then the number of observations for each class gives the grouped frequency distribution (FD). This kind of FD is particularly important when the data are continuous so that you are likely to have very small frequencies for a very large number of values.
Yes.