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In general, variables (and data) either represent measurements on some continuous scale, or they represent information about some categorical or discrete characteristics.
For example, the weight, height, and age of respondents in a survey would represent continuous variables; in industrial or medical applications, survival/failure times are also continuous variables. However, a person's gender, occupation, or marital status are categorical or discrete variables: either a person is male or female, never married, married, or divorced, etc.
Some variables could be considered in either way. For example, a person's rating of someone else's attractiveness on a 4 point scale may be considered a continuous variable, or we may consider it a discrete variable with 4 categories. Time series data are usually collected for continuous variables, over time. For example, stock quotes for a particular stock over successive trading days represent a time series of data.