How flexible is the measurement "a dozen"?
If there are nine hundred and ninety-nine thousand people at a rally it is acceptable to say one million people attended, but if eleven people are arrested is it acceptable to round up to a dozen?
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A dozen is a very specific measurement. It means twelve. If you have 11 items you can't call that a dozen, you'd have to say "around a dozen" or "about a dozen"; if you have 13 items you can say the same, or just call it a "baker's dozen."
Twelve is a small enough number that you don't really need much rounding.