For example, in the speech contest, if the judges know the contestants before, or have a good impression after seeing them, they will give very high scores, which is not objective. Removing the highest score can reduce the impact of this situation to some extent.

Similarly, it is unfair if the judges give the players a very low score subjectively, so the lowest score should be removed.

The average score is close to the real level of the players.

Extended data

Arithmetic average is the most basic and commonly used average index in statistics, which can be divided into simple arithmetic average and weighted arithmetic average. Mainly suitable for numerical data, not for quality data. According to the different forms of expression, the arithmetic mean has different calculation forms and formulas.

Arithmetic average is a special form of weighted average (especially in equal weight). In practical problems, when the weights are not equal, the weighted average should be used when calculating the average; When the weights are equal, the arithmetic average is used to calculate the average.

Arithmetic average is a good concentrated quantity, which has the advantages of sensitive response, strict judgment, simple solution, simple calculation, suitable for further calculation and little influence by sampling changes.

Arithmetic average is easily influenced by extreme data, because the average is sensitive, and the big or small change of each data will affect the final result.