So we have arithmetic mean (AM), geometric mean (GM) and harmonic mean (HM). Their mathematical formulation is also well known along with their associated stereotypical examples (e.g., Harmonic mean and it's application to 'speed' related problems).

mean和average都是平均数的意思,主要区别在于: 1. 用法上,mean通常指算术平均数或统计中的均值,average则更广泛地指代平均数。 2. mean一般适用于数学和统计学领域,average可以应用于日常用语。 3. 在数学运算上,mean需要将一组数据求和后再除以数据个数来计算。

The mean you described (the arithmetic mean) is what people typically intend when they say "mean" and, yes, that is the same as average. The only ambiguity that can occur is when someone is using a different type of mean, such as the geometric mean or the harmonic mean, but I think it is implicit from your question that you were talking about ...

Apr 21, 2015 · $\begingroup$ resurrecting a very old thread, this is a rule of thumb: "68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively." See here for info $\endgroup$ –

Dec 20, 2017 · After running the lm regression model using R, sometime one is bound to get very small P values or values in the covariance matrix. Something of the sort: -1.861246e-04 for example in a covariance ...

It is identical to a Tukey mean-difference plot1, the name by which it is known in other fields, but was popularised in medical statistics by J. Martin Bland and Douglas G. Altman If you want to implement a Bland-Altman plot in Python you can use this:

This is identical to the Winsor mean. But looping over the data and only averaging data between the 25% value and 75% value is NOT identical to the truncated mean, because the 25% or 75% values may not be a unique value. Consider the data sequence $(1,2,3,4,4)$. The Winsor mean is $(2+2+3+4+4)/5$. The correct truncated mean should be $(2+3+4)/3$.

知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业、友善的社区氛围、独特的产品机制以及结构化和易获得的优质内容，聚集了中文互联网科技、商业、 …

Jun 26, 2015 · For non-negative economic quantities like sales and costs where spread might tend to be proportional to mean, it's often sensible to look at coefficient of variation, which is sd/mean. CV's are dimensionless (it doesn't matter if you measured in dollars or millions of dollars, nothing changes for CV).

Jul 23, 2019 · There are circumstances when residence time measurements are very different. Let's say we have a distribution of geometric mean times (GMD), as well as harmonic mean times (HMD), mean times (MD) and median times (MeD). These could be very different, for example. Mean GMD: 31.905 HMD: 3.5398 MD: 73.190 MeD: 41.754