Normal distribution Calculator

Calculates the probability density function and lower and upper cumulative distribution functions of the normal distribution.

Normal distribution
percentile x
mean μ
standard deviation σ
    1. σ>0

The default value μ and σ shows the standard normal distribution.

    Normal distribution
    [1-6] /6Disp-Num
    [1]  2019/03/29 12:21   Male / 20 years old level / High-school/ University/ Grad student / Very /
    Purpose of use
    [2]  2017/03/29 05:16   Male / 60 years old level or over / A retired people / Very /
    Purpose of use
    Checking some double-double precision (about 32 decimals) fast code for bugs, sometimes in extreme areas for ratio of cdf to pdf (Mills Ratio). Very impressed to find that you do up to 50 decimals AND report extreme range where exponent can be essentially -infinity, apparently, most do not do that, so I could ask my extreme questions about the ratio, was expecting to have to do my own verification some other way. Thanks!
    [3]  2016/07/26 23:16   Female / Under 20 years old / Elementary school/ Junior high-school student / Useful /
    In a test in math, a class of 50 students obtained scores which are normally distributed with mean of 30 and whose SD is 5. How many students obtained scores lower that 25?
    [4]  2016/01/23 11:56   Male / 50 years old level / A teacher / A researcher / Very /
    Purpose of use
    Check against the values I calculated using a Runge Kutta 4th order numerical method. What numerical method was used to generate these values?
    [5]  2011/05/24 08:10   Male / 40 years old level / Self-employed people / Very /
    Purpose of use
    This site is very good, well written - clear. A great example to others. Thank you for putting this resource on-line.
    [6]  2009/12/02 04:52   - / - / A researcher / Very /
    Purpose of use
    Calculating probability points.
    Terrific site.


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