Mode (statistics)

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In statistics, the mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function P(X) takes its maximum value, i.e., x = argmaxxi P(X = xi). In other words, it is the value that is most likely to be sampled. Like the statistical mean and median, the mode is a summary statistic about the central tendency of 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, but it may be very different in highly skewed distributions. The mode is not necessarily unique in a given discrete distribution since the probability mass function may take the same maximum value at several points x1, x2, etc. The most extreme case occurs in uniform distributions, where all values occur equally frequently. A mode of a continuous probability distribution is often considered to be any value x at which its probability density function...

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