Question

Create your own function that calculates z-score

-Define a function named z and have it take 3 arguments: xbar, mu, sigma
-Add a docstring to describe what this function does
-Return the calculated z-score

Answer 1

The student's question is about creating a Python function to calculate the z-score, which standardizes the number of standard deviations a data point is from the mean of a distribution.

Step-by-step explanation:

To create a function that calculates the z-score, you need to define a function named z which takes three arguments: xbar, the sample mean; mu, the population mean; and sigma, the population standard deviation. The z-score is a measure of how many standard deviations an element x is from the mean

Function

Definitiondef z(xbar, mu, sigma):
"""This function calculates the z-score, which is a standardized value
indicating how many standard deviations an element is from the mean of a normal distribution.
:param xbar: the value to calculate the z-score for
:param mu: the mean of the distribution
:param sigma: the standard deviation of the distribution
:return: the z-score of xbar
"""
return (xbar - mu) / sigma
By substituting the value of a data point for xbar, the mean (mu), and the standard deviation (sigma) into the formula, the function will return the z-score. Positive z-scores indicate values above the mean, and negative z-scores indicate values below the mean. A z-score of zero implies that the value is exactly at the mean.