5. Probability Distributions

Normal Distribution — Quiz

Test your understanding of normal distribution with 5 practice questions.

Practice Questions

Question 1

Which of the following is a key characteristic of a normal distribution curve?

Question 2

According to the empirical rule, approximately what percentage of data falls within one standard deviation of the mean in a normal distribution?

Question 3

If a dataset is normally distributed with a mean ($\mu$) of 50 and a standard deviation ($\sigma$) of 5, what range would contain approximately 95\% of the data?

Question 4

What is the $z$-score for a data point $x = 60$ in a normal distribution with a mean ($\mu$) of 50 and a standard deviation ($\sigma$) of 10?

Question 5

A standard normal distribution has a mean of: