Q. 10 - Elementary Statistics

Question

Identify the distribution of the standardized version of a normally distributed variable.

Step-by-Step Solution

Answer

The standard normal distribution is called $z$ score or standard score$z=\frac{x-\mu }{\sigma }$.

Step 1: Given Information

Identify the distribution of the standardized version of a normally distributed variable.

Step 2: Explanation

Take the normal distribution as an example.

A specific case of the normal distribution is the standardized normal distribution.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.

Hence, the standard normal distribution is called $z$ score or standard score. $z=\frac{x-\mu }{\sigma }$.