# Normal distribution (chart) Calculator

## Calculates a table of the probability density function, or lower or upper cumulative distribution function of the normal distribution, and draws the chart.

 select function  probability density flower cumulative distribution Pupper cumulative distribution Q mean μ standard deviation σ σ＞0 [ initial percentile x increment repetition ]
 The default value μ and σ shows the standard normal distribution.$\normal Normal\ distribution\ N(x,\mu,\sigma)\\[10](1)\qquad probability\ density\\\hspace{30}f(x,\mu,\sigma)={\large\frac{1}{\sqrt{2\pi}\sigma}e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x,\mu,\sigma)={\large\int_{\small-\infty}^{\hspace{25}\small x}}f(t,\mu,\sigma)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x,\mu,\sigma)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,\mu,\sigma)dt\\$

Normal distribution (chart)
 [1-7] /7 Disp-Num5103050100200
[1]  2018/11/09 18:10   Female / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Research
Comment/Request
Easy to use, works well.
[2]  2018/05/12 12:26   Male / 30 years old level / High-school/ University/ Grad student / Very /
Purpose of use
research
[3]  2017/03/10 05:39   Male / 20 years old level / High-school/ University/ Grad student / Very /
Comment/Request
how to calculate area under six sigma limits.
[4]  2014/12/08 15:34   Male / - / An engineer / - /
Purpose of use
Verifying legacy source code with algorithm that uses for normal distribution calculations in form of a hard coded table
[5]  2014/10/07 16:48   Male / 50 years old level / An engineer / Very /
Purpose of use
Bit error rate plots
Comment/Request
Thank you veru much for accuracy and this format, easy to cut&paste!
[6]  2012/05/14 09:12   Male / 50 years old level / A teacher / A researcher / Very /
Purpose of use
Confirming some of the calculations.
Comment/Request
It would be nice if you can include brief description and details of the calculation using the formulae. For example, using the formula given for normal distribution N(x, mu, std dev).

Excellent site!

Thank you.
[7]  2009/07/11 16:07   Male / 20 level / An office worker / Very /
Comment/Request
impressed.

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