Analysis of information sources in references of the Wikipedia article "Rounding" in English language version.
Rounding to the nearest even number is also called 'bankers rounding' because the banks use this technique as well.Microsoft Pascal Compiler for the MS-DOS Operating System User's Guide. Microsoft Corporation. 1985. p. 165.
Bankers' rounding is used when truncating real numbers that end with .5; that is, odd numbers are rounded up to an even integer, even numbers are rounded down to an even integer.
An important fact with regard to the error 1/2 for n even is that its sign is arbitrary, or is not fixed by the computation as is the case with all the other errors. However, the computer's rule, which makes the last rounded figure of an interpolated value even when half a unit is to be disposed of, will, in the long run, make this error as often plus as minus.
Here we have a case in which the half of an odd number is required. [...] A good rule to adopt in such a case is to write the nearest even number.
A fraction perceptibly less than a half should be discarded and more than a half should always be considered as one more unit, but when it is uncertain which figure is the nearer one the universally adopted rule is to record the nearest even number rather than the odd number that is equally near. The reason for this procedure is that in a series of several measurements of the same quantity it will be as apt to make a record too large as it will to make one too small, and so in the average of several such values will cause but a slight error, if any.
Rounding to the nearest even number is also called 'bankers rounding' because the banks use this technique as well.Microsoft Pascal Compiler for the MS-DOS Operating System User's Guide. Microsoft Corporation. 1985. p. 165.
Bankers' rounding is used when truncating real numbers that end with .5; that is, odd numbers are rounded up to an even integer, even numbers are rounded down to an even integer.
