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In terms of probability distributions, the normal distribution is a continuous distribution of random variables of real value.

When we don't expect the data set to be highly skewed, a data set has nearly a normal distribution.

Data are considered skewed when most of the values are small, while a few unusually large data values are present, or when most of the values are large, but a few unusually small data values are present.

It is unlikely that the distributions of height, IQ, and SAT math scores will be skewed (as most people will have a score near the average) and so these distributions are probably roughly normal.

As a result, we expect the distribution of family incomes to be skewed, since there are probably a few students in the class who have an unusually small income (for example, students who require a scholarship to be able to attend college).

As a result, it is the least likely that family incomes will have a nearly Normal distribution.