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What does the basic inequality chain in high school mathematics mean?
The basic inequality chain of high school mathematics is as follows:

Arithmetic average, also called 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.

Quadratic mean, also known as root mean square, refers to the arithmetic square root of the mean square of a set of data.

Extended data:

The harmonic average is also called the reciprocal average, which is the reciprocal of the arithmetic average of the reciprocal of all statistical variables in the population. Harmonic average is a kind of average.

The geometric mean is the root of the continuous product of each variable. The method of finding geometric average is called geometric average method. If the total level and total achievement are equal to the sum of the continuous products of all stages, all links and achievements, the geometric average method should be used to calculate the geometric average, but not the arithmetic average method.

References:

Baidu Encyclopedia: Geometric Average