Best Answer

Answer:

Round up or down so that the new last digit is even.

Rationale:

Some people advise you to round up 0.5 others say round down. The problem with that approach is as follows:

In the first case

If the number is 0.0 you don't need to round

If the number is 0.1, 0.2, 0.3 or 0.4 you round down

If the number is 0.5, 0.6, 0.7, 0.8 or 0.9 you round up

So 4 downs and 5 ups (and one no change).

Net Result: you introduce an upward bias.

In the second scenario, you introduce a downward bias through rounding.

Possible solution:

Round up from 0.5 half the time, round down the other half. That satisfies the bias problem but introduces another - that of reproducibility. If someone else were to look at your data would they round up/down the same way you did? Unlikely. You need a system which will round 0.5 up half the time and down half the time but where the decision is made for you.

Hence the best solution is the answer given above: Round up or down so that the new last digit is even.

Long and a bit roundabout but it should satisfy not only the mathematicians but the statisticians and pedants as well.

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Q: Does 0.5 round up or down?

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Related questions

The First Round-Up was created on 1934-05-05.

To round off 430 you will have to round up or down. To round down then it till be 400 to round up it will be 500

The Last Round-Up was created on 1934-05-01.

Round down

To round to the nearest whole number, round down to 60. To round to the nearest hundred, round up to 100.

18.27 ( 5 and up round up 4 and down round down :P )

The .05 will round up, giving 22.1 as the answer.

Always look at the next digit to the right of where you want to round up or down to. If the next digit is 5 or more, you round up. If it's 4 or less, you round down. In this case, you would round the number down to 15.33

when the last digit is 4 or under, round down. "five or above, give it a shove" round up.

The .05 would round up to the next column, making it 36.5

It is higher, so it would round down.

It rounds up. (:

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