How to find Mode for Continuous Distribution|Tricky Mathematics

The mode of a set of data values is the value that appears most often.[1] If X is a discrete random variable, the mode is the value x (i.e, X= x) at which the probability mass functiontakes its maximum value. In other words, it is the value that is most likely to be sampled.

Like the statistical mean and median, the mode is a way of expressing, in a (usually) single number, important information about a random variable or a population. The numerical value of the mode is the same as that of the mean and median in a normal distribution, and it may be very different in highly skewed distributions.

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