pystats_norm.dnorm

Functions

dnorm(x[, mean, sd])

Calculates the Probability Density of the normal distribution at a given point.

Module Contents

pystats_norm.dnorm.dnorm(x, mean=0, sd=1)[source]

Calculates the Probability Density of the normal distribution at a given point.

Parameters:

  • x (float) – The point at which to evaluate the PDF.

  • mean (float, optional) – The mean (average) of the normal distribution. Default is 0.

  • sd (float, optional) – The standard deviation of the normal distribution. Default is 1.

Returns:

result_df – A DataFrame containing the input value and the corresponding PDF value.

Return type:

pandas.DataFrame

Raises:

  • ValueError – If sd is zero or negative, as the standard deviation must be a positive number.

  • TypeError – If any of the input parameters (x, mean, sd) are not numerical.

Example

>>> dnorm(1.96, mean=0, sd=1)
       x       PDF
0   1.96  0.058440

>>> result_df = dnorm(1.96, mean=0, sd=1)
>>> result_df
       x       PDF
0   1.96  0.058440