Why do we round five up when it’s exactly in the middle?

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Why do we round five up when it’s exactly in the middle?

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There is also a less common “round half to even” convention used in some fields (e.g. finance, accounting, certain branches of science and engineering), for bias reduction. For example, 1.5 rounds to 2, and 2.5 also rounds to 2. This distributes rounding errors more evenly over a dataset, reducing the likelihood of cumulative error.

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