NORMDIST

NORMDIST(x, mean, standard_dev, cumulative)[source]

Calculates the normal distribution probability density (PDF) or cumulative distribution (CDF).

NORMDIST evaluates either the probability density function (PDF) or the cumulative distribution function (CDF) of the normal distribution for the given input(s).

Parameters:

  • x (Operand | int | float) – The input value(s) at which to evaluate the distribution.

  • mean (Operand | int | float) – The arithmetic mean of the distribution.

  • standard_dev (Operand | int | float) – The standard deviation of the distribution (must be > 0).

  • cumulative (Operand | bool) –

    Boolean flag to determine calculation type:

    • False / 0: PDF

    • True / 1: CDF

Return type:

Formula

Returns:

A formula object evaluating to the normal distribution value(s).

  • Returns DECIMAL if all inputs are scalar

  • Returns DECIMAL_ARRAY if any input is an array

Raises:

  • ValueError – If x, mean, or standard_dev are not numeric types

  • ValueError – If cumulative is not boolean-compatible

Examples

Probability density function (PDF):

NORMDIST(1.0, 0.0, 1.0, False)
# Returns the PDF at x=1 for a standard normal distribution

Cumulative distribution function (CDF):

NORMDIST(1.0, 0.0, 1.0, True)
# Returns the CDF at x=1 for a standard normal distribution

Array inputs:

NORMDIST(my_table["value"], 0.0, 1.0, True)
# Returns an array of CDF values for each row

``x`` — accepted types

  • DECIMAL

  • DECIMAL_ARRAY

  • INTEGER

  • INTEGER_ARRAY

``arg_2`` — accepted types

  • DECIMAL

  • DECIMAL_ARRAY

  • INTEGER

  • INTEGER_ARRAY

``arg_3`` — accepted types

  • DECIMAL

  • DECIMAL_ARRAY

  • INTEGER

  • INTEGER_ARRAY

``cumulative`` — accepted types

  • BOOLEAN

  • BOOLEAN_ARRAY

  • DECIMAL

  • DECIMAL_ARRAY

  • INTEGER

  • INTEGER_ARRAY

Return types

  • DECIMAL

  • DECIMAL_ARRAY