4. Statistics and Probability

Standardisation Of Normal Variables — Quiz

Test your understanding of standardisation of normal variables with 5 practice questions.

Practice Questions

Question 1

What is the main purpose of standardising a normal variable $X$ with mean $\mu$ and standard deviation $\sigma$?

Question 2

Which formula correctly standardises a value $x$ from a normal distribution with mean $\mu$ and standard deviation $\sigma$?

Question 3

A normal variable has mean $50$ and standard deviation $8$. What is the $z$-score for the value $66$?

Question 4

A normal distribution has mean $100$ and standard deviation $15$. Which value corresponds to a $z$-score of $-1$?

Question 5

If $X$ is normally distributed and $X=\mu$, what is the standardized value $z$?