Which of the following is the arithmetic average of a distribution?

The arithmetic average of a distribution is referred to as the mean. The mean is calculated by summing all the values in a data set and dividing by the total number of values. This measure provides a central value that represents the entire dataset and is sensitive to extreme values (outliers), which can influence its calculation significantly.

In contrast, the mode refers to the value that appears most frequently in a dataset, while the median represents the middle value when the data set is ordered from least to greatest. The range measures the difference between the highest and lowest values in a dataset, providing an indication of how spread out the data are. Each of these measures serves a different purpose in statistical analysis, but when the question specifically asks for the arithmetic average, the mean is the appropriate answer.