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Types of Data Theory
![\textbf{Categorical} variables can be either be nominal or ordinal. \\ \textbf{Nominal variables} have no order as in colours: red, green, blue etc.\\ \textbf{Ordinal variables} have order as in the size of a pizza: small, medium, large.\\ \textbf{Numerical variables} can be either discrete or continuous.\\ \textbf{Discrete variables} have exact numerical values as in the number of children in a family.\\ \textbf{Continuous variables} can be represented in decimals as in mass of an animal:e.g 24.5kg, 27.6kg etc\\ \begin{multicols}{2} \textbf{Example 1}\\ Which set of data is classified as numerical and continuous?\\ A: The different types of ice creams\\ B: The number of sheep in paddock \\ C: A persons lucky number \\ D: The distance to drive to a train station \\ \textbf{Example 1 solution}\\ \(\begin{aligned}[t] &\text{The variable describes distance, hence numerical}\\ &\text{Distance to a station is continuous.} \end{aligned}\)\\ \columnbreak \textbf{Example 2}\\ Which set of data is classified as categorical and nominal? \\ A: The number of people travelling in a car \\ B: The favourite colours of a persons friends \\ C: The distance between Sydney and Newcastle \\ D: The size of apples picked (small,medium,large) \\ \textbf{Example 2 solution}\\ \(\begin{aligned} &\text{In B, colours are categorical and}\\ &\text{cannot he ordered, hence nominal.} \end{aligned}\)\\ \end{multicols}](/media/pr3bkhpi/4874.png)
NSW Y12 Maths - Advanced Descriptive Statistics Types of Data
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