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- To calculate the inverse of the normal distribution (also known as the Z-score), you can use the following formulas and methods123:
- Z = (X - μ) / σ, where Z is the Z-score, X is the value for which you want to find the Z-score, μ is the mean (average) of the normal distribution, and σ is the standard deviation of the normal distribution2.
- x = norminv(p, μ, σ), where p is the probability value, μ is the mean, and σ is the standard deviation3.
- Use an inverse normal distribution calculator to input the probability value and obtain the Z-score or the corresponding value of x4.
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.By the below invnorm formula, you can find the inverse of normal distribution. $$ f (x)=frac {1} {sqrt {2pisigma^2}}e^ {-displaystyle {frac { (x-mu)^2} {2sigma^2}}} $$ Where: μ _ Arithmetic mean of the distribution σ _ variance that measures the dispersion e _ Exponential functions x _ Independent variablewww.calculatored.com/invnorm-calculatorThe calculation performed by the Normsinv Calculator follows a straightforward formula: Z = (X - μ) / σ Where: Z: Z-score (inverse of the standard normal distribution). X: The value for which you want to find the Z-score. μ: The mean (average) of the normal distribution. σ: The standard deviation of the normal distribution.calculatorshub.net/statistics-calculators/normsinv-c…x = norminv(p,mu,sigma) returns the inverse of the normal cdf with mean mu and standard deviation sigma, evaluated at the probability values in p. [x,xLo,xUp] = norminv(p,mu,sigma,pCov) also returns the 95% confidence bounds [ xLo, xUp] of x when mu and sigma are estimates. pCov is the covariance matrix of the estimated parameters.www.mathworks.com/help/stats/norminv.htmlHere's how to use the inverse normal distribution calculator:
- Input the probability p p: it must be a number between 0 and 1.
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