8, 9, 11 and 12
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None of them is "more accurate". They are answers to two different questions.
No. But there can be more than one data point which has the same value as the mean for the set of numbers. Or there can be none that take the mean value.
I assume you mean "six numbers" rather than "sox numbers". If the numbers are all distinct (i.e none of them are in the set of thirty numbers more than once), then there are 30!/(24!6!) ways of choosing six numbers, where "!" is the factorial of that number.
I believe it would be both numbers or none at all.
Factors of 250: 1,2,5,10,25,50,125. None of the numbers of consecutive, so there is no answer.