In a continuous uniform distribution, outcomes are continuous and infinite. In a normal distribution, data around the mean (average) occur more frequently than occurrences farther from it.

To facilitate a uniform standard method for easy calculations ... are extremely helpful in data analysis. For a normal distribution, the data values are symmetrically distributed on either side ...

Note that the uniform nature of the distribution of individual data and the “normal” appearance of the distribution of the averages hold and are easier to visualize as the sample size increases (1).