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There is no such thing. Different measures are best in different circumstances.

If asked what the "central" colour of a car was, neither the mean nor median can even be calculated. You would not add a red car and a blue car to average at a purple car! On the other hand, you would have to be pretty lucky to find a mode for a continuous variable.

Similarly, one can come up with scenarios where the median or the mean beat the other two measures of central tendency hands down.

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Q: What is the most descriptive center of a data set?
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