Average includes arithmetic average, geometric average, mean square (rms), harmonic average and weighted average, among which arithmetic average is the most common.
Average, a statistical term, is a quantity that represents the trend of a group of data. Refers to the sum of all the data in a set of data divided by the number of this set of data. It is an indicator reflecting the trend of data concentration.
The key to solve the problem of average application is to determine the "total amount" and the total number of copies corresponding to the total amount. In statistical work, mean and standard deviation are the two most important measures to describe the trend and deviation of data sets.
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Average, median and mode are all statistics that describe the average level of data, and each has its own characteristics. Everyone is familiar with the average, the median describes the middle level of a set of data, and the mode describes the situation with the highest frequency in a set of data.
An obvious advantage of the average value is that it can make use of the characteristics of all data and is relatively easy to calculate. In addition, in mathematics, the average value is a statistic that minimizes the sum of squares of errors, that is to say, using the average value to represent data can minimize the secondary loss. Therefore, the average value is a commonly used statistic in mathematics. However, the average also has some disadvantages, precisely because it uses all the information of data, and the average is easily influenced by extreme data.