# NORM.S.DISTDAX Function (Statistical)

Returns the standard normal distribution (has a mean of zero and a standard deviation of one).

## Syntax

NORM.S.DIST ( <Z>, <Cumulative> )
Parameter Attributes Description
Z

The value for which you want the distribution.

Cumulative

Cumulative is a logical value that determines the form of the function. If cumulative is TRUE, NORMS.DIST returns the cumulative distribution function; if FALSE, it returns the probability mass function.

## Return values

Scalar A single decimal value.

The standard normal distribution (has a mean of zero and a standard deviation of one.

» 3 related functions

## Examples

```--  NORM.DIST returns the normal distribution for the
--  specified mean and standard deviation
--
--      NORM.DIST ( Value, Mean, StandardDev, Cumulative )
--
--  NORM.S.DIST returns the standard normal distribution
--  (has a mean of zero and a standard deviation of one)
--
--  https://en.wikipedia.org/wiki/Normal_distribution
DEFINE
TABLE SampleData    = { 2, 4, 4, 4, 5, 5, 7, 9 }
VAR Mean            = AVERAGE ( SampleData[Value] )
VAR StandardDev     = STDEV.S ( SampleData[Value] )
VAR Vals            = GENERATESERIES ( 0.0, 10, 0.5 )
VAR CumulativeTrue  = TRUE   -- Cumulative distribution function
VAR CumulativeFalse = FALSE  -- Probability density function
EVALUATE
Vals,
"Normal Distr.",             -- Probability density function
FORMAT (
NORM.DIST ( [Value], Mean, StandardDev, CumulativeFalse ),
"#,0.00000"
),
"Normal Distr. Cumulative",  -- Cumulative distribution function
FORMAT (
NORM.DIST ( [Value], Mean, StandardDev, CumulativeTrue ),
"#,0.00000"
),
"Normal Std. Distr.",        -- Cumulative distribution function
FORMAT (
NORM.S.DIST ( [Value], CumulativeFalse ),
"#,0.00000"
),
"Normal Std. Distr. Cumulative", -- Cumulative distribution function
FORMAT (
NORM.S.DIST ( [Value], CumulativeTrue ),
"#,0.00000"
)
)
```
Value Normal Distr. Normal Distr. Cumulative Normal Std. Distr. Normal Std. Distr. Cumulative
0.00 0.01212 0.00968 0.39894 0.50000
0.50 0.02037 0.01766 0.35207 0.69146
1.00 0.03242 0.03068 0.24197 0.84134
1.50 0.04886 0.05082 0.12952 0.93319
2.00 0.06972 0.08029 0.05399 0.97725
2.50 0.09419 0.12115 0.01753 0.99379
3.00 0.12047 0.17479 0.00443 0.99865
3.50 0.14588 0.24148 0.00087 0.99977
4.00 0.16726 0.32000 0.00013 0.99997
4.50 0.18156 0.40755 0.00002 1.00000
5.00 0.18659 0.50000 0.00000 1.00000
5.50 0.18156 0.59245 0.00000 1.00000
6.00 0.16726 0.68000 0.00000 1.00000
6.50 0.14588 0.75852 0.00000 1.00000
7.00 0.12047 0.82521 0.00000 1.00000
7.50 0.09419 0.87885 0.00000 1.00000
8.00 0.06972 0.91971 0.00000 1.00000
8.50 0.04886 0.94918 0.00000 1.00000
9.00 0.03242 0.96932 0.00000 1.00000
9.50 0.02037 0.98234 0.00000 1.00000
10.00 0.01212 0.99032 0.00000 1.00000

## Related functions

Other related functions are:

Last update: Aug 3, 2024     » Show contributors

Contributors: Alberto Ferrari, Marco Russo, Kenneth Barber

Microsoft documentation: https://docs.microsoft.com/en-us/dax/norm-s-dist-dax

# Context Transition

This function performs a Context Transition if called in a Row Context. Click to read more.

# Row Context

This expression is executed in a Row Context. Click to read more.

# Not recommended

The use of this function is not recommended. See Remarks and Related functions for alternatives.

# Not recommended

The use of this parameter is not recommended.

# Deprecated

This function is deprecated. Jump to the Alternatives section to see the function to use.

# Volatile

A volatile function may return a different result every time you call it, even if you provide the same arguments. Click to read more.

# Deprecated

This parameter is deprecated and its use is not recommended.

# DirectQuery compatibility

Limitations are placed on DAX expressions allowed in measures and calculated columns.
The state below shows the DirectQuery compatibility of the DAX function.

### Contribute

Want to improve the content of NORM.S.DIST? Did you find any issue?
Please, report it us! All submissions will be evaluated for possible updates of the content.