Number Mean, Arithmetic Mean

The number Mean (Mean), Arithmetic Mean (Arithmetic Mean) is an average value that characterizes a group of observations. It is calculated by adding the numbers from this series and then dividing the resulting sum by the number of summed numbers.

If one or more numbers in a group differ significantly from the rest, this may distort the resulting arithmetic mean. In such cases, it is preferable to use the geometric mean or mean (median).

The geometric mean is calculated in a similar way, but here the arithmetic mean of the logarithms of the observation values ​​is determined, and then its antilogarithm is found.

The median is the average of a series of values ​​arranged in ascending order.

Another method of obtaining the average value of any quantity from a group of observations is to determine the mode - the most frequently occurring value. This method is more often used to determine the average value in several series of experiments.

The numerical mean (mean) and the arithmetic mean (arithmetic mean) are the average values ​​of any group of observations. The arithmetic mean is calculated by adding all the numbers in a series and then dividing the resulting sum by the total number of numbers obtained. However, if one or more data in a group differs significantly from the others, then this arithmetic average may lead to inaccurate results. In such cases, it is preferable to use the geometric mean, which is also calculated by adding

Numerical averaging and arithmetic mean are the most important methods of qualitative data analysis, allowing one to obtain new information. Thus, statisticians and economists operate with these concepts, and many literary and scientific works are devoted to them. However, introducing mathematics to describe number-related research can seem quite complex. However, the basic principles of static analysis for science, business, labor, and other fields are quite simple. In this article we will look at such things as the mean, the arithmetic mean and the median, and also find the difference between them.

The first thing you need to understand is that average is not an entirely accurate name. Often the numerical average is called the arithmetic mean, and numbers are called the mean. Still, you can subtract all of its values ​​from the value of a variable to find the result of the calculation. Moreover, this definition was known even under Pythagoras, who discovered that the sum of the squares of all values ​​in one group of numbers does not change when identical groups are added. The answer was the same for all sequences of numbers, no matter what language we were counting in. After which the numerical average begins to be called the “arithmetic mean”