range|Sample Standard Deviation|标准差几何意义

Measures of Variation

方差:measures of variation or measures of spread

源于range发现range不足以评估整个set(因为只用到largest and smallest value),所以有了方差

The Sample Standard Deviation

偏差:How far, on average, the observations are from the mean

几何意义:

 

必须取绝对值,否则第二列sum=0(因为得到的均值就是找到使得到所有值算数值之和为0的点),所以在这里取了平方,所以sum of squared deviations,偏差的平方和。

为什么sample variance除以(n-1)?

 

Other ways

 

Rounding Rule: Do not perform any rounding until the computation is complete; otherwise, substantial roundoff error can result

用标准差恢复了方差作为与mean值的差距,在直观上证明了这一点(最初的expect range

 

 

 

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转载自www.cnblogs.com/yuanjingnan/p/11208857.html