This is part of the HSC Mathematics Advanced course under the topic Statistical Analysis: Random Variables.
Here we will identify the numerical and graphical properties of data that is normally distributed. Let’s check out some of the normal distribution characteristics below.
Now let’s calculate probabilities and quantiles associated with a given normal distribution using technology and otherwise, and use these to solve practical problems:
- Identify contexts that are suitable for modelling by normal random variables, eg: the height of a group of students
- Recognise features of the graph of the probability density function of the normal distribution with mean and standard deviation, and the use of the standard normal distribution
- Visually represent probabilities by shading areas under the normal curve, eg: identifying the value above which the top 10% of data lies