Documentation/Calc Functions/NORMINV
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Function name:
NORMINV
Category:
Statistical Analysis
Summary:
Calculates the inverse of the cumulative distribution function for a normal distribution.
The normal distribution is also known as the Gaussian distribution. It is a family of continuous probability distributions used in many fields to represent independent, randomly generated variables. Each normal distribution has a curve with the same general bell shape that is symmetric about the mean (often denoted by the lowercase Greek letter mu (μ)), with a spread defined by the standard deviation (often denoted by the lowercase Greek letter sigma (σ)).
Using the nomenclature of the previous paragraph, NORMINV calculates the real number x such that [math]\displaystyle{ \text{NORMDIST}(x;\:\mu;\:\sigma;\:1)~=~p }[/math], where the given probability p lies in the range (0, 1).
Syntax:
NORMINV(Number; Mean; STDEV)
Returns:
Returns a real number, which is the value of the random variable that would give the specified probability in the cumulative distribution function for the specified normal distribution.
Arguments:
Number is a real number in the range (0, 1), or a reference to a cell containing that number, which is a probability in the cumulative distribution function of the normal distribution.
Mean is a real number, or a reference to a cell containing that number, which is the mean of the normal distribution.
STDEV is a positive real number, or a reference to a cell containing that number, which is the standard deviation of the normal distribution.
- If any of Number, Mean, or STDEV is non-numeric, then NORMINV reports a #VALUE! error.
- If Number is less than 0.0 or greater than 1.0, then NORMINV reports an invalid argument error (Err:502).
- If Number is equal to either 0.0 or 1.0, then NORMINV reports a #VALUE! error.
- If STDEV is less than or equal to 0.0, then NORMINV reports an invalid argument error (Err:502).
Additional details:
- Calc's NORMINV and NORM.INV functions perform identical calculations. The requirements for NORMINV are specified in ODF 1.2; NORM.INV is provided for interoperability with Microsoft Excel.
- The normal distribution with a mean of 0 and standard deviation of 1 is known as the standard normal distribution. This gives rise to the following relationship between relevant Calc functions:
- [math]\displaystyle{ \text{NORMINV}(x;\:0;\:1)\:=\:\text{NORMSINV}(x) }[/math]
- For more information on the normal distribution, visit Wikipedia's Normal distribution page.
Examples:
Formula | Description | Returns |
---|---|---|
=NORMINV(A1; A2; A3) where cells A1:A3 contain the numbers 0.961007571808867, 1.5, and 3.2 respectively. | Here the function calculates the inverse of the given value from the cumulative distribution function for the specified normal distribution. | 7.14 |
=NORMINV(90%; 63; 5) | Assuming that the average egg weighs 63 grams with a standard deviation of 5 grams, then the value returned indicates that there is a 90% probability that an individual egg will be lighter than 69.41 grams. | 69.407757827723 |
=NORMINV(0.797671619036357; 0; 1.2) | Here the function calculates the inverse of the given value from the cumulative distribution function for the specified normal distribution. | 1 |
=NORMINV(0.691462461274013 ; 0; 1) | Here the function calculates the inverse of the given value from the cumulative distribution function for the standard normal distribution. | 0.5 |
Related LibreOffice functions:
ODF standard:
Related (or similar) Excel functions:
NORMINV