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Distribution is even when it's equal, uneven when it's not. For example, the United States population is distributed unevenly. The 2010 census showed some states have a much higher population per square mile than others.
A skewed (non-symmetric) distribution is a distribution in which there is no such mirror-imaging. For skewed distributions, it is quite common to have one tail of the distribution considerably longer or drawn out relative to the other tail. A skewed right distribution is one in which the tail is on the right side. A skewed left distribution is one in which the tail is on the left side. The above histogram is for a distribution that is skewed right. Skewed distributions bring a certain philosophical complexity to the very process of estimating a typical value for the distribution.