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The variable in the statement given as: Number of words in a poem is a discrete variable

How to determine whether the quantitative variable is discrete or continuous?

The statement is given as:

Number of words in a poem

This means that the variable is the number of words

The number of words can only be represented as positive integers

Variables that have these characteristics are discrete variables

Hence, the variable in the statement given as: Number of words in a poem is a discrete variable

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