英语词汇“normal distribution”的翻译、意思、用法、释义-英汉经管词典

单词

normal distribution

释义

normal distribution

The bell-shaped frequency distribution which results when variations are caused by a large number of independent and additive random factors. The frequency distribution of a normally distributed variable x with mean μ and variance σ² is given by 0198607679.normal-distribution.2.jpg A normal distribution is symmetrical about its mean, since f(μ + z) = f(μ - z) for all z. The fact that x is normally distributed with mean μ and variance σ² is denoted by x normal distribution N(μ, σ²). If x is normally distributed, about 68 per cent of cases lie between -σ and +σ of μ, about 95 per cent between -2σ and +2σ of μ, and about 99.7 per cent between -3σ and +3σ of the mean.

The horizontal axis shows the value of some variable, x. The vertical axis shows its frequency. The total area under the curve is thus always 1. x is normally distributed with mean μ and standard deviation σ. This is written x normal distribution N (μ, σ² ). Its formula is given by f(x) = kexp[ - 1/2(x - μ)² /σ² ], where k is a constant chosen to make the distribution sum to 1. The distribution is symmetric about μ. 0198607679.normal-distribution.1.jpg FIGURE 23: Normal Distribution

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