Question about the rounding off rule.

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Yashbhatt
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There is a specific rule(Banker's Rule I think) for rounding of numbers that end in 5. The rule is that we add 1 to the preceding digit of it's odd but keep it as it is if it's even. It's always keeping it even.

Why is this rule applied? I read something like it is done to prevent biased rounding off our something.
 
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Yes, in the long run rounding up if the next digit is a five or more will bias the result upwards. Rounding to an even digit will tend to even this out.