有关NORMDIST函数大于100%的问题求教
小弟在使用EXCEL制作正态分布图时,使用到NORMDIST函数计算正态分布图数据,在这之前对其他数据计算过,NORMDIST计算出的值都在100%以下,基本符合面积和等于1的规律,但本次数据计算结果单个就大于1了。不知为何?
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chm8624 (威望:0) (湖北 荆州) 汽车制造相关 工程师
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NORMDIST(x, mean, dev, FALSE) 不返回的概率,它返回的密度函数,这是累积分布函数的斜率。对于连续变量,任何特定的值的概率是零,因为有无限数目的值。
如果你想知道一个连续随机变量 在范围a~b内的正态分布的概率,使用
= NORMDIST(b,mean, DEV,TRUE) - NORMDIST(a,mean, DEV,TRUE)
密度函数的峰值发生在平均值(即= NORMDIST(mean,mean,DEV,FALSE)),
并且值为
= 1 /(SQRT(2 PI()) dev)
峰值将超过1,当偏差小于1 / sqrt(2pi) ( 约等于0.399)。
原文:
NORMDIST(x, mean, dev, FALSE) does not return a probability; it returns the density function, which is the slope of the cumulative distribution function. For a continuous variable, the probability of any particular value is zero, because there are an infinite number of values.
If you want to know the probability that a continuous random variable with a normal distribution falls in the range of a to b, use
= NORMDIST(b, mean, dev, TRUE) - NORMDIST(a, mean, dev, TRUE)
The peak value of the density function occurs at the mean (i.e., =NORMDIST(mean, mean, dev, FALSE) ), and the value is
=1 / (SQRT(2 PI()) dev)
The peak value will exceed 1 when the deviation is less than 1 / sqrt(2pi) ~ 0.399.
By shg
The Great State of Texas
http://www.excelforum.com/exce ... .html