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No, they must have a median. However, if the data set is of even order, the median may not belong to the data set.

For example, the median of 1,2,3,10 is halfway between 2 and 3 or 2.5 which is not a data point.

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Q: Does some quantitative data sets do not have a median?
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Related questions

Is color quantitative data?

To report what color something is would be qualitative data not quantitative. Quantitative data, by definition, is a measurement of some quantity, and therefore it requires a number of some kind. Light intensity can be measured with a photometer, which would be quantitative data. Color isn't.


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