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- I am just going through the literature on Median and mode of continous data. It is quite clear to me on how to get Median i.e from the Function of the probability distribution and also on how to find the Mode i.e which is the gradient of the probability distribution (in essence the probability density function).

Attached is my reference on the literature.

My question is; ' are there cases where we may have a continuous distribution that has no Mode value? or is it that the Mode will always be there due to the reason that any given function will have a maximum at some point. Cheers.