The arithmetic mean, often simply called the average, is determined by summing all values within a dataset and dividing by the count of those values. For example, the average of 2, 4, and 6 is (2 + 4 + 6) / 3 = 4.
Calculating the central tendency through this method provides a valuable summary statistic in various fields, from scientific analysis and economic reporting to educational assessment and everyday decision-making. Understanding the average allows for simplified data interpretation, comparison between datasets, and identification of trends. Its historical roots can be traced back centuries, serving as a fundamental tool in statistical analysis since its inception.