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What type of average is commonly used?
1. Arithmetic average: Arithmetic average refers to the sum of all data in a set of data divided by the number of data. It is an indicator reflecting the trend of data concentration.

2. Geometric mean: the n-th root of the product of n observations is the geometric mean. According to different data conditions, geometric mean can be divided into weighted and unweighted.

3. Harmonic average: Harmonic average is a kind of average. But statistical harmonic mean is different from mathematical harmonic mean. In mathematics, harmonic average and arithmetic average are independent and self-sufficient. The calculation results are different, and the former is always smaller than the latter.

4. Weighted average: Weighted average is the average value of data with different proportions, and weighted average is the calculation of reasonable proportion of original data.

5. Square average: The square average is the arithmetic square root of the arithmetic average of the squares of n data.

Extended data:

The nature of the average:

1, the sum of the differences between the observed values and the sample average is zero, that is, the sum of deviations from the average is equal to zero.

2. The sum of squares of the differences between the observed values and the sample average is the smallest, that is, the sum of squares of deviations from the average is the smallest.

Average is an important concept in statistics. The average in primary school mathematics generally refers to the arithmetic average, that is, the quotient obtained by dividing the sum of a set of data by the number of this set of data.

In statistics, arithmetic mean is often used to represent the overall level of statistical objects, and it is a statistic that describes the position in the data set. It can be used not only to reflect the general situation and average level of a group of data, but also to compare the data of different groups and see the differences between groups.

Baidu Encyclopedia-Average