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Why can a count skip values?

Discrete quantitative data take separate numerical values.

If you count phone calls received in an hour, the result might be zero, one or two, but not one and a half calls. The value is numerical and the possible counts are separate. That makes it discrete quantitative data.

A measurement such as elapsed time is different: it can in principle take values between the marks you display, even if you round it to whole minutes. Asking whether a number is counted or measured helps you choose how to record and analyse it.

A small example

Three buses arrived during an hour. The count is 3; the waiting time for each bus might be 7.5 minutes.

Keep in mind

A displayed decimal does not alone determine whether data are discrete or continuous; look at what is being recorded.

Source & attribution

Introductory Statistics 2e — Data, Sampling, and Variation in Data and Sampling

OpenStax contributors · OpenStax, Rice University

CC BY 4.0. Rewritten as a self-contained explanation; the example and activity are Vakataka additions. No source images reproduced.

Source edition: 2024-12-16T15:08:45Z

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