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The mode is the most frequently occurring value in a dataset. Unlike the arithmetic mean, it is not necessarily unique (two different values could occur the same number of times).
The easiest way to understand the mode is to look at a few examples below:
What is the mode of this dataset: [3,4,5,5,5,8,8,9,14]
The mode is 5, because there are three 5's. It shows up more than any other value in the set.
What is the mode of [-6, 2, 67, 4, 3, 9, -6, 5, 2, 0]?
The mode is -6 and 2, because each of those values occurs twice and nothing else occurs more often. In other words, they are "tied" for the lead.