The arithmetic mean is a statistical measure that calculates the average of a set of numerical data. Although it's commonly referred to as "mean," there are many other synonyms for this term. For instance, it can also be called the average, the balance point, or the central tendency. Other synonyms for the arithmetic mean include the centroid or the center of mass. In addition to these terms, there are also some specialized synonyms for the arithmetic mean used in specific disciplines, like the mean value in engineering or the expected value in probability theory. While the term of choice may vary depending on the context, all of these synonyms ultimately refer to the same concept of finding the average of a set of numerical values.