In this video I go over the concept of the median, which is a measure of centrality of a probability density function. It is defined as the value of the random variable that 50% of the sample population is greater than while the other 50% are less than. This can be seen visually as the half of the total area of the probability density function to the left and to the right of the median. On the other hand, the mean (or average) is based on the total sum of the random variable as opposed to strictly the sample size which can be skewed higher or lower than the median. This is a pretty interesting video discussing the differences between the mean and median so make sure to watch this video!
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I don't always determine the median of a probability density function but when I do I usually discuss its differences with the mean ;)
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/probability-median