Harmonic mean geometry average arithmetic average square or less or less or less average,

Harmonic mean: Hn=n + 1/(1/a1/a2 +... + 1/an)

Geometric mean: designed.the Gn=(a1a2... An) ^ (1/n)

Arithmetic mean: the An=(a1 + a2 +... + an)/n

[square average: Qn=) (a1 a2 ^ ^ 2 + 2 +... + an ^ 2)/n]

The average four meet Hn acuities were designed.the Gn the An Qn or less or less,



Extended information:
1, the difference between

Arithmetic average and harmonic average is the average index of two kinds of forms, arithmetic average and harmonic average is not the mean of the two types of independent; Arithmetic average and harmonic average value, there is no direct relationship between, who does not exist in the question of who is small; Not according to the same data calculate the arithmetic mean and harmonic mean, otherwise it is pure digital games, rather than a statistical study,

2, relationship:

Arithmetic mean, harmonic mean, geometric mean is three different forms of unity, has its own application conditions respectively, the study of statistics, can't be used when using the arithmetic mean for harmonic mean or geometric mean, suitable for using the harmonic mean, also cannot use the other two averages, but from the quantitative relation to consider, if use the same data (variable values are not equal),

Calculation results of the above three kinds of average is: the arithmetic mean is greater than the geometric mean, and geometric mean is greater than the harmonic mean, when all variable values are equal, then the three averages are equal, they expressed by inequality: the relationship between H G X or less or less

Resources: baidu encyclopedia - harmonic mean