It could be a summary statistic - although there are several different options available.
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You can't find the mode of a single number...but you can find the mode of a group of numbers The mode is the value with the highest frequency...that is, the value which appears the most often
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All the numbers in each group have the same modulo 3 value.
The domain can be anything you like, from the whole of the real numbers to just a single value.
No. A number with multiple digits does not have a place value. A single digit in a multi-digit number has a place value.