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A discrete variable can only have values at specific values. See: Logical Data Modeling - Domain (Permitted value set)

A time can also be discrete. wiki/Discrete_time_and_continuous_time

Illustration Continuous vs Discrete: A Geneva drive is a gear mechanism that translates a continuous rotation into a discrete motion.

Discrete and

Type of Variable

Continuous

Any-time you measure a variable that can only be measured in discrete values, you are using a variable that is not truly continuous.

Distribution

Statistics - Probability mass function (PMF)