The arithmetical mean, also known as the average, is a statistical measure that represents the central value of a set of data. However, there are various other synonyms that can be used for the term. These include mean, arithmetic mean, average value, central value, and statistical mean. Additionally, there are other similar statistical measures that can be used in place of the arithmetical mean, such as the geometric mean, harmonic mean, and the mode. The variation in synonyms and statistical measures allows for greater flexibility and precision when analyzing and interpreting data.