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continuous discrete
A categorical variable (also known as a discrete variable) is one whose range is countable; e.g. the variable answ has values [yes, no, not sure]. answ is a categorical variable with range 3.A continuous variable is one which is not categorical; e.g. weight is a continuous variable which can take any value between 0 and 1000 kg (say) for a human being.
Height
categorical
It can be. For example, height is a continuous variable. If you wanted to show what proportion of the children in your school were in various bands of height, you could use a pie chart.