Gw mau tau The central limit theorem dari Sebaran normal. Jelasin dalam bahasa sunda

The normal distribution has the very important property that

under certain conditions, the distribution of a sum of a large number of independent variables is approximately normal.

This is the so-called central limit theorem.

The practical importance of the central limit théorem is that the normal distribution can be used as an approximation to some other distributions.

Sebaran binomial mibanda paraméter n sarta p ngadeukeutan kana normal keur n nu badag sarta p teu deukeut ka 1 atawa 0. Pendekatan sebaran normal mibanda méan μ = np sarta simpangan baku σ = (n p (1 - p))1/2.

A Poisson distribution with paraméter λ is approximately normal for large λ. The approximating normal distribution has méan μ = λ and standard deviation σ = √λ.

Whether these approximations are sufficiently accurate depends on the purpose for which they are needed, and the rate of convergence to the normal distribution.

It is typically the case that such approximations are less accurate in the tails of the distribution.