Which measure represents the value that occurs most frequently in a data set?

The measure that represents the value occurring most frequently in a data set is known as the mode. In a given set of numbers, the mode identifies the number that appears more often than any other. For example, in the data set {1, 2, 2, 3}, the mode is 2 because it appears twice, while the other numbers appear less frequently.

The mode is particularly useful in various statistical analyses, especially when dealing with categorical data where the mean and median may not be applicable. It can provide insights into tendencies or common values within a dataset, aiding in understanding patterns and making decisions based on the most prevalent items.

In contrast, the median is the middle value when the data is ordered, and the mean is the average of all the values in the dataset, calculated by summing all values and dividing by the count. The range is a measure of the spread of values, defined as the difference between the highest and lowest values. These concepts do not identify frequency in the same way the mode does.