Arithmetic mean is a mathematical term used to denote the mean of multiple numbers. Simply put, it is the average value of a collection of numbers. To calculate the arithmetic mean of a set of numbers, one must add all of the numbers together, then divide the total by the amount of numbers that were added together. For example, if someone wanted to calculate the arithmetic mean of the numbers three, seven, and nine, they would first add 3+7+9, which equals 19. Since there are three numbers in this set, they would divide 19 by 3, which equals 6.3. Therefore, the arithmetic mean of three, seven, and nine is 6.3.
The method of arithmetic mean is often used in fields such as statistics, finance and economics in order to measure central tendency, which is a measure of a value or distributions center or average value. Arithmetic mean can also be used to measure the yield of a single portfolio managed by a single manager, the rate of return of a single security, or the performance of a companys stock over a certain period of time.
In addition to its use in data analysis and calculation of central tendency, the arithmetic mean is also frequently used in day-to-day activities. For instance, when calculating grade–point averages in high school, college, and graduate programs, the arithmetic mean is used. Additionally, the arithmetic mean is used to calculate time card averages, aircraft and car speeds, interest rate averages, and many other typical metrics.
Overall, the arithmetic mean is an extremely useful and flexible tool that can be applied to a variety of different scenarios and settings. Its primary benefit, aside from the calculations it produces, is the ability to simplify complex mathematical equations into simple operations that can be applied to all kinds of data. Moreover, it is one of the most commonly used facial metrics, making it a go-to tool for many data-driven professionals. The arithmetic mean is a powerful tool that is here to stay.