Which measure of central tendency always gives a value that is actually in our dataset?

The measure of central tendency that always gives a value that is actually in the dataset is the mode. The mode is defined as the value that appears most frequently in a data set. Because the mode is based on the actual values observed, it will always be one of the data points (or one of several if there are multiple modes).

In contrast, the mean (average) and median (middle value when sorted) might not correspond to a value in the dataset. The mean can fall between values in the dataset, and the median may also not correspond directly to one of the values, especially in an even set of numbers. Thus, the mode is unique in ensuring that its value is present in the data itself.